Discrete Mathematics with Applications

Book Description

Susanna Epp's DISCRETE MATHEMATICS, THIRD EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses.

Customer Reviews:

Perfect book for its purpose.......2007-09-16

This book serves as a terrific introduction to concepts which are of paramount importance in upper-level math courses, most notably Probability Theory, Real Analysis, and Abstract Algebra. Moreover, it provides a solid basis for computer science majors who wish to write more logically sound and efficient programs. I regularly referred back to this in my Real Analysis and Probability courses, and I imagine others would do the same. Also, Dr. Epp's clear, conversational style doesn't hurt the student's confidence later in more rigorous academic enterprises, as well as a concise layout and reasonable pace. Highly recommended.

Good explainations........2007-08-15

This book explained concepts very well. The chapters were easy reads and I even referrred to this text for a Math Reasoning class. If you are a math genius and hate explainations then don't get this book. But if you like to fully understand what you are doing then I would suggest this book.

Great book.......2007-01-03

Wow, this is a great book. I bought this book as a secondary helper book to a really bad math textbook and this book helped me tons. It only seemed to help during the first half of the semester because by the end it wasn't covering the same material as the class was. But it covered the material that it did really really well.

It also has really good problems with good solutions that explain what's going on. Something that so many other math books seem to lack on Discrete math. Just a great book.

Great text on discrete mathematics especially for non-math majors.......2006-08-09

I used an earlier edition of this textbook in a discrete mathematics class that was required for those of us with a non-CS background enrolled in a MSCS program at Virginia Tech, and I found this to be an excellent and complete book on the subject. If you find yourself enrolled in a class using this book, you can be sure of two things - your instructor knows how to select good textbooks and also it won't matter if your instructor is a good teacher since this book does all of the work for him/her.

If you are enrolled in a class on discrete math and this textbook is not assigned, might I suggest you get a used copy of the previous edition. It is just as good as this current edition and used copies can easily be found dirt cheap. If you buy a copy of a previous edition the topics you'd be missing that are new to this edition would be expected value, conditional probability, Bayes' theorem, modular arithmetic, Fermat's little theorem and the Chinese remainder theorem, and RSA cryptography.

The author has included illuminating examples of all concepts throughout the textbook, defined all terms, and makes sure that each new concept introduced builds on previously explained material. Subjects covered include the logic of computation, including the predicate logic that is necessary for fully understanding artificial intelligence, methods of proof including the method of induction and also the terminology of sequences, number theory and combinatorics, O-notation and the calculation of the efficiency of algorithms, graph theory and discrete structures, and an introduction to concepts from the theory of computation. There are many exercises included, with the solutions to selected exercises in the back of the book.

This book only assumes mathematical maturity at the level of precalculus, excluding trigonometry. I highly recommend this text especially to students who are transitioning to computer science from some other discipline and need a firm foundation in the basics of that field. You'll find it useful as a foundational text for studying artificial intelligence, the theory of algorithms, mathematical models of computation, and the theory of computation. Another useful book on this subject is the "Schaum's Outline of Discrete Mathematics".

The table of contents are as follows:
1. The Logic of Compound Statements
2. The Logic of Quantified Statements
3. Elementary Number Theory and Methods of Proof
4. Sequences and Mathematical Induction
5. Set Theory
6. Counting
7. Functions
8. Recursion
9. O-Notation and the Efficiency of Algorithms
10. Relations
11. Graphs and Trees
12. Finite State Automata and Applications

Great Introductory Book.......2006-01-13

For a subject which has so much potential to be conveyed in complicated and esoteric ways, this book actually manages to present every single chapter in a clear and accessible way, even for those unfamiliar with formal logic.

It doesn't cover every single theorem you might come across in a first year class, but it comes close. I'd thoroughly recommend this book, even for self-study. I've used a couple of texts for this subject and while none of them are actually bad, this one is streets ahead for understandability and clarity.

Average customer rating:

Unique, Impressive
ODE
for weak students.
Poorly Organized, Slow, Insufficient Depth
Fun to read!!

Differential Equations (with CD-ROM)
Paul Blanchard , Robert L. Devaney , and Glen R. Hall
Manufacturer: Brooks Cole
ProductGroup: Book
Binding: Hardcover

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Accessories:

Student Solutions Manual for Blanchard/Devaney/Hall's Differential Equations, 3rd

ASIN: 0495012653

Book Description

Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.

Customer Reviews:

Unique, Impressive.......2007-07-11

Great for learning. Poor for reference.

This book is unique. Most differential equations textbooks simply provide formulae for different types of problems, but you don't really see the big picture. This book lets you see the big picture, but omits many of the most useful formulae that you may need in your career. This for that. It would be nice to see a book with the best of both worlds, but if you simply want to learn and understand the topic, this book is the way to go. Also, there is a good emphasis on qualitative and numerical techniques. Students often feel like they get less out of a mathematics class when qualitative and numerical techniques are emphasised over more analytic approaches. However, those of us who have worked in the "real world" know that the qualitative and numerical techniques are probably even more important. I have worked as a research statistician and my research areas emphasise computing. When I'm presented with real problems and real data (which, in my career, usually comes in large, unmanageable quantities), do I usually pull out my notebook and tackle the problem in a very precise manner, working out an exact solution? No, quite often I cannot realistically do that. Now I'll admit that I don't use much from this particular field on the job, but it still applies. Moving on, I must also mention that the book does a very good job at explaining these qualitative and numerical techniques in addition to things that are more analytic, although it sometimes a little too verbose.

Regarding applications, the book covers a lot of fields and does put a big emphasis on applications. Physics, biology (especially population growth models), and electrical/computer engineering receive the most treatment. Overall, I would say that the book does an excellent job at including plenty of applications and choosing meaningful ones.

I don't have much to say about the exercices. Most aren't too contrived and they mixed up the difficulty fairly well. However, I would have liked to see more "hard" problems.

In summary, I'd recommend that you pick up a different book if you need a reference for work or research, but pick this one up if you actually want to learn and UNDERSTAND the basics of differential equations.

ODE.......2007-02-07

So i really hate this book... it give maybe one example of certain concepts and they are not even that descriptive. i might just be use to my other math books... but coming from a girl who is a math major, i would stay away!!!

for weak students........2005-12-08

the main objections i have to this book, are similar to others here:

1) much too expensive for what you get.

2) much too verbose for what is being said.

the masterful book by hurewicz from the 1950's covers the same ideas of dynamical systems and geometrically oriented o.d.e,'s but in succint, clear, deep, and well organized prose.

and i bought a copy of hurewicz for 5 bucks last week.\

even the vaunted exam ples of this book, such as the tacoma narrows bridge disaster, is cribbed from other books like braun.

but to ask a poor student to lay out 130 dollars for an inflated ripoff of better, shorter, cheaper books, is morally wrong, and as a professor i will do a lot to avoid it.

Poorly Organized, Slow, Insufficient Depth.......2005-09-23

I don't like this book; it's like most undergraduate differential equations books. It moves slowly yet doesn't explain things in enough depth.

The order in which topics are presented is chaotic; one moment one is using an analytic technique and then the next moment the book switches into discussion of qualitative methods; the reader never gets a feeling of mastering one or the other. It's hard to skip around in the book because it's hard to sort out which material builds on previous material.

The book presents diffeq as a chaotic, hodge-podge subject, which might be accurate, but this leaves the reader confused and without an overall picture of what diffeq is.

Relative to the volume and cost of this text, you will learn very little from it. Among the "big" undergrad texts I prefer Boyce and DiPrima, although only slightly. The best introductory books on differential equations are from the Springer-Verlag series, in my opinion: check out the text by Braun or the other one by Hubbard...both are listed in my reviews.

Fun to read!!.......2005-09-02

Normally I get the homework from the professor and that is usually the only time I crack open any textbook. However, with this book I was able to enjoy the authors' humor and clear description of the material. It is true that the answers in the back of the book are not very helpful, but I think I think the book is written well enough to help you get to the right answer. Furthermore, the CD that comes with the book is not compatable with Mac OS X, but if your University has access to Maple, Mathematica, or Matlab there is no real loss in not being able to use the CD. I would disagree with one of the book reviews that graphical solutions are not important to science majors. Analytical solutions are extremelly important to science and that is why this book is heavy on the graphical solutions, and as a physicist I find these problems and examples the most useful.

The Way of Analysis (Jones and Bartlett Books in Mathematics)

Average customer rating:

Lots of explanation, lots of slogging...
Lots of description... a bit too much
Very lucid and ideal material for learning real analysis
The best to understand and do Analysis
All mathematics books should be like this.

The Way of Analysis (Jones and Bartlett Books in Mathematics)
Robert S. Strichartz
Manufacturer: Jones and Bartlett
ProductGroup: Book
Binding: Paperback

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ASIN: 0763714976

Book Description

This textbook on real analysis is intended for a one- or two-semester course at the undergraduate or beginning graduate level. It gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction to the Lebesgue integral. Written in a lively and informal style, the text provides proofs of all the main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Three chapters on applications (ordinary differential equations, Fourier series, and curves and surfaces) are included to show how the abstract ideas are used in interesting situations.

Customer Reviews:

Lots of explanation, lots of slogging..........2007-01-05

The current mathematics text landscape is a troubling one: Most of the standard texts are great as references, but are often not very effective at conveying the material to a student approaching a subject for the first time. Refreshingly, this book does not suffer from this failing; instead, it is packed full of explanation, examples, context, and informational asides. In fact, it is so crammed full of text that often the actual point often becomes lost amid the explanation. This renders the text almost useless as a reference because it requires so much trudging to get to the point. I very much enjoyed some of the insights provided by this book, but ultimately I found it too much of an effort to sort out the central message from all the other fluff; I ultimately abandoned this book for a cleaner treatment.

I you're trying to learn Analysis on your own, this may be a good starting point. If you're actually taking a class, this book is likely overkill in the exposition department. If you're looking for a reference, look elsewhere. In any case, you may want to consider Abbott's absolutely brilliant book Understanding Analysis, which manages to be a great presentation that succeeds all around.

Lots of description... a bit too much.......2005-03-17

The book is excellent for self-study with its in-depth descriptions. The reader should look out for the occasional misprint (even in definitions, which makes it a bit more difficult), but if the book is read carefully these errors expose themselves. The reader should highlight definitions for later reference (since they are sometimes within the text).

In use for a class or for reference, this book is too wordy. Definitions are difficult to spot in many cases (some are written directly within the text). Descriptions also drag on too long in many cases, making it difficult to read the entire text. The book is by no means concise, which, after sitting in a lecture on the topic, makes much of the description too repetitive.

The problems the book offers are very good, in that they require thought but are also possible for someone fairly new to analysis (although this isn't unique to this book). The proofs are clear and many are quite elegant. They need no explanation other than what is in the text (how it should be).

One last comment on the book itself -- this book is too big to be a paperback and hold up under typical use. Look for this one in a hardcover edition, if you can find one.

Recommended instead of this book: "Principles of Mathematical Analysis," by Walter Rudin. This book is concise and clear and most appropriate when taken with a course, but must involve careful reading for self-study in comparison of Strichartz's book.

Very lucid and ideal material for learning real analysis.......2005-01-19

Most books on mathematics simply dump concepts,equations and examples and let you figure out what to do. Not this one. The book is written in a passionate manner where the author takes pains to explain why we are going in a particular direction and the goals. The style is extremely lucid and informal, something unusual for a subject that is steeped in formal mathematics. Yet the author presents, explains and covers all the formal theorems, concepts etc . The book also has excellent exercises. A truly noteworthy achievement. I would highly recommend this to anyone (especially self-study) trying to learn this subject.

The best to understand and do Analysis.......2004-07-11

This is the best Analysis book I ever read, you can learn not only the subject, but how to do Math, the introductive paragraph in each chapter gives the motivation of the topic, for example the introduction to the Lebesgue integral is memorable, many people "learn" the Lebesgue theory passively, some think it is a play to integrate strange functions, instead Prof. Strichartz treats estensively the PRACTICAL weaknesses of the Riemann theory.
For important theorems it is underlined the importance of every hypotheses, often from many points of view, the errors of the past are cited, I think one can learn more from explanations and errors than from a crystallized theory.
The notation is not standard and the printing is not good, however these are light faults.

All mathematics books should be like this........2004-03-14

This book is terrible for reference but EXCELLENT for LEARNING real analysis, certainly the best I have ever seen.

The main issue that divides most readers is one of style, should mathematics books be succinct and clean or should they contain some "entertainment" as well? Should there be some extra explanation or not.

As a student, the answer to this question can be given easily: The more explanation, the better. Just as the title suggests, the author leads you to understand analysis, to understand how things fit together, why certain things need to be proved and why other things are obvious.

If a book just states theorems and proofs, it is unclear to me how that makes you better at mathematics because the question is, could you have thought of these proofs yourself? Given the theorems, can you come up with the proofs? Do you have a feeling for what's going on?

After reading Strichartz you might not remember all the proofs but given any theorem, one should be able to reconstruct the proof from the understanding of the material. One should have a feeling for the concepts and that is something NO OTHER ANALYSIS BOOK seeks to develop.

Also, Strichartz lays things out in a very natural way, not a single topic just comes out of nowhere. There is a flow to the text.

Book Description

Do you own a TI-89, TI-89 Titanium, TI-92 Plus, or a Voyage 200 graphing calculator? If you do, or if you need to get one for school or your job, then you need to know how it works and how to make the most of its functions.

TI-89 For Dummies is the plain-English nuts-and-bolts guide that gets you up and running on all the things your TI-89 can do, quickly and easily. This hands-on reference guides you step by step through various tasks and even shows you how to add applications to your calculator. Soon you’ll have the tools you need to:

Solve equations and systems of equations
Factor polynomials
Evaluate derivatives and integrals
Graph functions, parametric equations, polar equations, and sequences
Create Stat Plots and analyze statistical data
Multiply matrices
Solve differential equations and systems of differential equations
Transfer files between two or more calculators
Save calculator files on your computer

Packed with exciting and valuable applications that you can download from the Internet and install through your computer, as well as common errors and messages with explanations and solutions, TI-89 For Dummies is the one-stop reference for all your graphing calculator questions!

Download Description

Shows science, math, and engineering students and professionals how to make the most of this top-of-the-line graphing calculator Describes step by step how to harness the calculator's 3D graphing capabilities, advanced built-in functions, USB connectivity, and 16 preloaded applications, including calculus and electrical engineering tools The book's accessible, plain-English explanations are a must for users who find TI's instruction manual difficult to slog through Since students can now use the TI-89 and other graphing calculators on AP exams, the SAT, and other standardized tests, this book will get them up to speed quickly Texas Instruments owns over 95 percent of the graphing calculator market

Customer Reviews:

Could have been so much better.......2007-05-28

I debated if to give this two or three stars, and I'm giving it two simply because I expect better from the For Dummies series of book.

First for the good stuff. I'm not sure you can get another book for the TI-89 for this price that will help you get started with the calculator. And I did learn stuff from the book. So if you just spent $150 to buy the calculator, and you need an inexpensive book to help you get started, this is the book.

But the bad is this. This book seems to me to have been a rushed job. I don't believe it was fully edited and critiqued before it was published. A lot of words were wasted repeating the same information over and over. In part three of the books it seemed like each chapter had a section on analyzing that was just like the section in the other chapters. Also, it seemed like the Zooming functions were re-explained a lot. In chapter seven, pictures are shown of graphs that where graphed on the calculator, but we are not give the formulas so we can graph it on our calculator (I used the formulas .5x-sin(x) and 1/3+x, but not exactly the same as what's used in the book), making it hard to follow alone with the instructions the book is giving. Much the same thing is done in chapter 20. I never did figure out chapter nine, but maybe I don't know enough about sequences.

Although the book was helpful, almost everything in it could have been explained better. And I wish more time would have been taken explaining the calculator itself, such as the differences between it and the other TI graphing calculators, some basics about how the applications that come with it work, and the meaning of the stuff you see when you use the 2nd & MEM keys. It's an okay starter book, but with a little more effort it could have much, much better.

Great manual for a few items, but missing a lot of information.......2007-03-03

I've been referring to this book regularly this semester since I recently started using the TI-89 (after using a TI-83+SE which is much more user friendly in my opinion). The parts that the author explains are very clear to understand and have been incredibly useful for me. Unfortunately I've already come across a lot of items that the author doesn't even mention. The author states toward the beginning of the book that there won't really be examples (as far as actual problems), and that is certainly true. I really would have liked to have a few examples, because some of the descriptions aren't too helpful without an example problem as a reference.

I still gave this book 4 stars because as far as I've been able to tell it is the best book out there for new users of the TI-89 and it certainly is easier to read and understand than the TI manual.

TI-89 Graphing Calculator for Dummies Review.......2007-01-04

The book is very concise and useful to understand the operations of the TI-89 calculator. There is not much information in the book about using the programing capabilities of the calculator but focuses most of its material on graphing.

A must have.......2007-01-04

If you have the TI-89, this is a must have, It's even helped during some tests when you're not sure how to solve problems.

Great TI-89 Manual.......2006-11-20

Very helpful in learning to use the Texas Intruments TI-89 Graphics calculator.

TI-84 Plus Graphing Calculator for Dummies

Average customer rating:

Good book
Save your manual
TI-84 Plus Graphing Calculator for Dummies
Helpful and easy to read
Good reference book to buy

TI-84 Plus Graphing Calculator for Dummies
C.C. Edwards
Manufacturer: For Dummies
ProductGroup: Book
Binding: Paperback

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ASIN: 0764571400

Book Description

If you have a T1-84 Plus Graphing Calculator, you have a powerful, sophisticated tool for advanced math. In fact, it’s so sophisticated that you may not know how to take advantage of many of its features and functions. That’s a good problem to have, and TI-84 Plus Graphing Calculator For Dummies is the right solution! It takes the TI-84 Plus to the next power, showing you how to:

Display numbers in normal, scientific, or engineering notations
Perform basic calculations, deal with angles, and solve equations
Create and investigate geometric figures
Graph functions, inequalities, or transformations of functions
Create stat plots and analyze statistical data
Create probability experiments like tossing coins, rolling dice, and so on
Save calculator files on your computer
Add applications to your calculator so that it can do even more

TI-84 Plus Graphing Calculator For Dummies was written by C.C. Edwards, author of TI-83 Plus Graphing Calculator For Dummies, who has a Ph.D. in mathematics and teaches on the undergraduate and graduate levels. The book doesn’t delve into high math, but it does use appropriate math examples to help you delve into:

Using the Equation Solver
Using GeoMaster and its menu bar to construct lines, segments, rays, vectors, circles, polygons, perpendicular and parallel lines, and more
Creating a slide show of transformations of a graph
Using the Inequality Graphing application to enter and graph inequalities and solve linear programming problems

There’s even a handy tear-out cheat sheet to remind you of important keystrokes and special menus, And since you’ll quickly get comfortable with the built-in applications, there’s a list of ten more you can download and install on your calculator so it can do even more! TI-84 Plus Graphing Calculator For Dummies is full of ways to increase the value of your TI–84 Plus exponentially.

Customer Reviews:

Good book.......2007-10-14

Dont waste your time or money if you have'nt read the other books, book realy did not tell me anything that was helpful in the use of the calculator.

Save your manual.......2007-08-30

And save your money as this book is poorly written and you will need your TI-84 manual to get started. Many of the commands given do not work. I stopped using it and went to an algebra text book and a web site. This is my first and last book of the "for dummies" series that I will waste my money on.

TI-84 Plus Graphing Calculator for Dummies.......2007-02-26

It's for my calculator.. It's Handy !! I like it !! Thanks

Helpful and easy to read.......2007-02-12

This book is so helpful! I often find instruction manuals confusing and this book is so much easier to use than the manual that came with the calculator. It is easy to read and the format makes it simple to find the topic you need. I am taking introductory statistics and the stats info helped me study for my test. This book is excellant and very easy to use.

Good reference book to buy.......2006-08-12

It was better of course than the book that came with the calculator however it didn't give you all the infomation on how to use the inverses and the finance problems in the book, needs more samples of how to enter the problems.

Advanced Engineering Mathematics (2nd Edition)

Average customer rating:

Loose pages.
Still the ONE and the ONLY ONE
The best book in engineering mathematics
The One and the ONLY One.
Cover the gap between undergraduate and graduate school

Advanced Engineering Mathematics (2nd Edition)
Michael Greenberg
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover

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ASIN: 0133214311

Book Description

This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know. Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement.

Customer Reviews:

Loose pages........2007-01-06

While the content is in accordance with my (high) expectations, I have a serious complaint about the binding of the book. The pages are simply falling out!!

After using the book a couple of month I am sitting with lots of loose sheets trying to keep them in order somehow.

I know its not your fault and I have no demands, no claims, I just needed to spit it out.

Still yours faithfully
Karin Meyer

Still the ONE and the ONLY ONE.......2006-06-12

Two years ago, when I was a sophomore student of Mechanical Engineering, I borrowed several books from our university's library to study for my Engineering Mathematics course; none satisfied me but this. Apart from its role in my getting the only A+ in Engineering Mathematics in our department, this book motivated me to integrate math with my engineering studies. Now that I'm entering graduate school, and am reviewing the concepts I've learned in mathematics, I just couldn't do so without thanking Prof. Greenberg for providing the world with such a wonderful reference. What follows summarizes a few of many features I love about this book,

-Motivating Introductions, blended explicitly or implicitly with every upcoming section that pulls readers through the rest of the material, however daunting the subject might at first appear to be.

-Marvelous heuristic discussions and representations appearing when they are in order and reserving rigorous proofs for the times that they can be really helpful in understanding the subject and, hence, keeping the text as useful as possible not only for engineering students but also for those mathematics students who are looking for the applications of what they have been studying.

-Excellent mnemonics serving as a true reminder for the reader without changing the text from a reference text to a mere preparation-for-multiple-choice-test book.

-Electrical and Mechanical Engineering analogies serving to enhance modeling abilities and concreting the understanding of the subject matter relevant to either field.

-Diverse examples involving such fields as Fluid Mechanics, Dynamics, Vibrations, Circuit Analysis, Chemical Engineering and so on.

-Utilization of such important concepts as eigenvalues/vectors, linear independence, and matrix algebra, throughout the text - not just presenting them in their related chapters and leaving them afterwards.

-True closures, not just summarizing the finished part by "boxing" the equations derived and restating the theorems, but, instead, succinctly presenting the material in other words, from a somewhat different point of view, and thus etching the section in readers' mind and eliminating the possibility of the parts just learnt being confused or misjudged.

-Carefully-designed exercises which not only thoroughly cover the material just taught but, being derived from different aspects of abstract math, applied math, and engineering, also give readers a hands-on experience with the subject under discussion; some so intriguing that you just can't go to another section/chapter before solving them, others address some of the items that were, deliberately, saved for the exercises - you actually learn new methods, theorems, etc in them.

(For those who don't know Prof. Greenberg, let it suffice to say that he was an instructor at Cornell University in charge of courses in Dynamics, Differential Equations and Advanced Strength of Materials; he's with the University of Delaware now. There, he teaches: Numerical methods in ODE's and PDE's, Nonlinear Systems, Linear and Functional Analysis, Applications of Green's Functions, Perturbation Methods, among other courses. He's been the recipient of several "Excellence in Teaching" awards. So he, definitely, knows a thing or two about the subject, don't you think?!)

The best book in engineering mathematics.......2005-01-18

I took two graduate math courses with Dr. Greenberg and I used this book often. However the book was not required as a course textbook , though I know people who bought it just because they considered it a must-have.

The book spans a wide range of math topics from ODE, Linear Algebra , Scalar and Vector Field to PDE and Complex Variable. Of course you could always find a more topic-focused book if that's what you're looking for. All the chapters in the book contain representative worked examples chosen from various areas of mechanical engineering. Everything is very well explained in such way that the learning process is optimized and reader time is not wasted.

If you are in the field of mechanical engineering you'll probably find this book extremely useful.

The One and the ONLY One........2004-01-14

I want to mention some, and just some, of the perfect features of this great text and to thank its author, Professor Greenberg.

-Beginning each chapter with an appealing motivation in such a way that however difficult the subject of that chapter may seem to be, you won't stop going through it.
-Excellant mnemonics serving as a true reminder for the reader without changing the text from a technical reference to a preparation-for-examination one.

-Marvelous heuristic discussions and presentations appearing when they are in order and leaving rigorous proofs for the times that they can be realy helpful in understanding the subject and hence keeping the text as useful as possible not only for engineering students but also, at least in my opinion, for those mathematics students who are looking for the applications of what they have studied.

-True closures, not just summarizing the finished section by 'boxing' the equations derived in it and restating the theorems, but saying things in, in fact, 'other words'
in a compact form thus organizing the section in the reader's mind and omitting the, however small, possibility of parts just read being confused or misjudged.

-Interesting and appealing exercises taking you to go through them not for just practicing the theorems but for seeing 'what at last would come out in this exercise.'
And all these, honestly, where to name a few. A last word of mine: With this book present almost all others should think of a revision or ...

Cover the gap between undergraduate and graduate school.......2003-12-23

If your undergraduate major isn't math or applied math, then this book will fill the gap before you go into graduate school in Engineering or Science.
As I majored in CS in undergraduate school thus concentrated in discrete mathematics, I found my math not good enough to deal with graduate courses in machine learning or numerical methods, which have lots in vector calculus and approximation methods. This book in deed made a good bridge.

Lebesgue Integration on Euclidean Space (Revised Ed.) (Jones and Bartlett Books in Mathematics)

Average customer rating:

great!
Rigor not Rigor Mortis
an excellent introductory text
High Praise for Jones
treasure trove of mathematical technique

Lebesgue Integration on Euclidean Space (Revised Ed.) (Jones and Bartlett Books in Mathematics)
Jones
Manufacturer: JONES & BARTLETT PUBLISHERS
ProductGroup: Book
Binding: Paperback

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ASIN: 0763717088

Book Description

Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. Throughout the text, many exercises are incorporated, enabling students to apply new ideas immediately. Jones strives to present a slow introduction to Lebesgue integration by dealing with n-dimensional spaces from the outset. In addition, the text provides students a through treatment of Fourier analysis, while holistically preparing students to become "workers" in real analysis.

Customer Reviews:

great!.......2006-03-30

This is a terrific text for a first course in graduate-level real analysis, and is suitable for self-study. It develops Lebesgue integration theory slowly, in a very clear manner. In addition, the latter part of the book covers the basics of Fourier Analysis and important topics in differentiation. I frequently refer to this book, as the results are easy to find.

Rigor not Rigor Mortis.......2006-02-25

One of the problems with modern mathematics is its obsession with rigor which has been attended, over the last few decades, by a mushrooming of symbols and jargon. Much of it is not clearly related to the ideas they serve to label, as evidenced by such terms as the topological use of "filter" whose etymology is obscure (ascribed by some to H. Cartan). Moreover, the particular subject of Lebesgue integration and its generalizations is made even more confusing by a wide variety of approaches depending on an author's penchants--many of whom are enamored with a purely axiomatic approach and who make little or no appeal to intuition or--God forbid!--pictures. The author of the present work is obviously someone who has actually taught mathematics and taught it lovingly. This book is an excellent read with lots of interesting topics well explained from a student's point of view. There seems to be a nice ramping from the truly elementary to the sophisticated, which means the book will interest experienced mathematicians, scientists and engineers. There are lots of "doable" problems that the reader can solve along the way. For the experienced mathematician these little problems help alot as a refresher (Oh!, now I remember, that's how you do it.). I like the emphasis on Euclidean space. Somehow, I always feel more comfortable there! It gives me things I can actually construct and doodle on paper. And, it allows the author to use a few figures in a meaningful way. Which is another of the book's strong points and if I could recommend a future improvement, it would be to bring on more of those pictures! Tristram Needham has done a nice job along these lines with his book "Visual Complex Analysis." (I ordered several copies as Christmas gifts--just kidding!). Anyone who has taught mathematics and genuinely wished to be understood by his students has, at various times, drawn them pictures. Inside the cover sheets are lists of integration formulae, a fourier transform table, and a table of "assorted facts" on things like the Gamma function; which show that this is not only a book on Lebesgue integration but a calculus book with the Lebesgue integral occupying center stage. Everyone who has been enamored by the notion of the integral--as I was as a freshman calculus student and have been ever since--will want to have this book on their shelf.

an excellent introductory text.......2003-09-24

As someone who wasn't a math major but who has been trying to get up to speed on lebesgue measure and integration, I found this book to be truly accessible. Unlike other "introductory" texts (such as Kopp's "Measure, Integral and Probability") I could follow the reasoning in this book without much difficulty.

The only criticism I have of the book has to do with the first chapter. Its purpose is to provide background mathematical material and given the author's clear ability to explain difficult concepts, I wish that it covered that material in greater detail.

For others who may be looking to build a foundational understanding of this material but who may not be mathematicians, I'd also recommend Pitt's "Measure and Integration for Use" (1985) or his "Integration, Measure and Probability" (1963) (both out of print but fairly easy to find). Those books, along with Jones', are well-used items in my library.

High Praise for Jones.......2000-08-22

"Lebesgue Integration on Euclidean Space" is a nearly ideal introduction to Lebesgue measure, integration, and differentiation. Though he omits some crucial theory, such as Egorov's Theorem, Jones strengthens his book by offereing as examples subjects that others leave as exercises. The best example of this is his section on L^p spaces for 0 < p < 1.

The book's greatest strength, however, is its readability. Whereas Royden gives no hint as to how much work is needed between steps, Jones highlights important steps in proofs, not just the important proofs. It is this motivated style that makes his book useful.

Jones is so careful in his construction of the theory that differentiation does not appear until Chapter 15, and specific results for R^1 come only in Chapter 16. But the wait is worth it.

While Jones has written a great introduction, the book cannot be used for more advanced courses. As the title suggests, the discussion is restricted to Euclidean spaces. In addition, his direct jump to measure on R^n and the use of "special rectangles" therein make the development incongruous with other books. But what is sacrificed in depth is made up for in breadth, with Jones hinting at how the theory is used in other branches of math. There's even an entire chapter devoted to the Gamma function!

As a student, I have found Jones's book more instructive on basic theory than Royden, Rudin, and Wheeden & Zygmund. I highly recommend it as a first-semester introduction to Lebesgue theory or as a source of clean, fundamental presentations of proofs.

treasure trove of mathematical technique.......2000-04-01

This book is a treasure trove of mathematical technique. It covers topics that are relevant to many broad areas of real and functional analysis including signal processing and approximation theory. The author takes the time not only to prove the results, but also to construct the proofs so that the technique is made explicit to the reader. The author also motivates definitions by breaking them into the successively more complicated pieces so as to build intuition in the reader.

Book Description

This book gives senior undergraduate and beginning graduate students and researchers in computer vision, applied mathematics, computer graphics, and robotics a self-contained introduction to the geometry of 3D vision; that is the reconstruction of 3D models of objects from a collection of 2D images. Following a brief introduction, Part I provides background materials for the rest of the book. The two fundamental transformations, namely rigid body motion and perspective projection are introduced and image formation and feature extraction discussed. Part II covers the classic theory of two view geometry based on the so-called epipolar constraint. Part III shows that a more proper tool for studying the geometry of multiple views is the so- called rank considtion on the multiple view matrix. Part IV develops practical reconstruction algorithms step by step as well as discusses possible extensions of the theory. Exercises are provided at the end of each chapter. Software for examples and algorithms are available on the author's website.

Customer Reviews:

Good 3-D vision book with emphasis on applications.......2005-12-10

I really liked this book. However, I use it for vision issues as they relate to robotics rather than as an introductory text on 3D vision. If a general or introductory textbook on 3D computer vision is what you desire, then you might be better off with "Multiple View Geometry in Computer Vision" by Hartley or my personal favorite, "Introductory Techniques for 3-D Computer Vision" by Trucco and Verri. For individuals studying robotic vision, many parts of this book are useful not only for characterizing vision, but for putting together algorithms and equations that are useful for describing robotic motion in general. For example, chapter two of the book collects equations and algorithms that are very useful in describing forward kinematics. Chapters five through ten cover all of the considerations and algorithms needed to produce a 3D image from a collection of images taken from different viewpoints. Chapter eleven applies this knowledge with sequential instructions on building a 3D image from a group of images. Chapter twelve has a second application that shows how to perform autonomous control of a moving vehicle via video feedback. The appendices have some very good information on linear algebra as it relates to computer vision as well as details on the Kalman filter, which is also of great interest to those of us who are interested in computational robotics. Algorithms are blocked out and explained in logical steps throughout the book, and it also has very good exercises at the end of each chapter as well as short examples throughout each chapter, although the notation can sometimes be a little confusing. I would therefore recommend this book especially to those readers who are interested in merging their knowledge of robotics with their knowledge of basic computer vision into creating sophisticated applications. However, this book is by no means an introduction to computer vision. The table of contents is as follows:
Ch 1 - Introduction
Ch 2 - Representation of a 3D Moving Scene
Ch 3 - Image Formation
Ch 4 - Image Primitives and Correspondence
Ch 5 - Reconstruction from Two Calibrated Views
Ch 6 - Reconstruction from Two Uncalibrated Views
Ch 7 - Segmentation of Multiple Moving Objects from Two Views
Ch 8 - Multiple View Geometry of Points and Lines
Ch 9 - Extension to General Incidence Relations
Ch 10- Geometry and Reconstruction From Symmetry
Ch 11- Step by Step Building of a 3D Model from Images
Ch 12- Visual Feedback

A Poor Rewrite of the book: Multiple View Geometry, by Hartley & Zisserman.......2005-09-28

This is a poor rewrite of a much better book, Multiple View Geometry in Computer Vision, by Hartley & Zisserman. It fails to clarify any of the more difficult concepts presented by Hartley & Zisserman and is far less complete in the treatment of the subject matter. I can not recommend this book when a better written, more thorough treatment is already available from Hartley & Zisserman.

a must-have book for computer vision students & researchers.......2004-03-30

The authors do an outstanding job of balancing theory and practice in this book. In particular, Ch. 11 (Step-by-Step Building of a 3-D Model from Images) is a gem. The new student of computer vision that finds Structure from Motion (SFM) daunting should read this chapter first to build motivation by means of seeing concrete examples.
What's most notable about this book is its thoroughness. The authors humbly get their hands dirty with crucial low-level matters like interest point detection and feature tracking. In Ch. 5 and 6 (calibrated and uncalibrated reconstruction) you'll get an excellent treatment of the necessary background in these areas, along with numerous new insights and `nuggets.' This is particularly true in their treatment of homographies. Ch. 2 has all the material on rigid body motion and the exponential map that students used to need to get from Murray, Li and Sastry, once again with substantial added value.
The exercises in all the chapters are very well thought out, and they -- together with the clearly written Algorithm Boxes -- greatly simplify the job of the instructor. (I am currently using this as the text for my graduate level class this quarter.) The appendices (especially the one on Linear Algebra) also help to make this a self-contained resource for SFM.
I haven't gotten into the material on multi-body motion and n>2 views, so I can't comment on those parts(...)In summary, this is a great book, well worth the money.

Regression and ANOVA : An Integrated Approach Using SAS Software

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Regression and ANOVA : An Integrated Approach Using SAS Software
Keith E. Muller , and Bethel A. Fetterman
Manufacturer: WA (Wiley-SAS)
ProductGroup: Book
Binding: Paperback

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ASIN: 0471469432

Book Description

The information contained in this book has served as the basis for a graduate-level biostatistics class at the University of North Carolina at Chapel Hill. The book focuses in the General Linear Model (GLM) theory, stated in matrix terms, which provides a more compact, clear, and unified presentation of regression of ANOVA than do traditional sums of squares and scalar equations.

The book contains a balanced treatment of regression and ANOVA yet is very compact. Reflecting current computational practice, most sums of squares formulas and associated theory, especially in ANOVA, are not included. The text contains almost no proofs, despite the presence of a large number of basic theoretical results. Many numerical examples are provided, and include both the SAS code and equivalent mathematical representation needed to produce the outputs that are presented.

All exercises involve only "real" data, collected in the course of scientific research. The book is divided into sections covering the following topics:
* Basic Theory
* Multiple Regression
* Model Building and Evaluation
* ANOVA
* ANCOVA

TI-83 Plus Graphing Calculator for Dummies

Average customer rating:

Very informative; Great resource
This will help with College Algebra
Beats the Heck out of "Manual" Labor!
acccurate
Superior guide to the TI-83 Plus

TI-83 Plus Graphing Calculator for Dummies
C.C. Edwards
Manufacturer: John Wiley & Sons
ProductGroup: Book
Binding: Paperback

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ASIN: 0764549707

Book Description

Would you order a multi-course gourmet buffet and just eat salad? If you have a TI-83 Plus graphing calculator, you have a veritable feast of features and functions at your fingertips, but chances are you don’t take full advantage of them. This friendly guide will help you explore your TI-83 Plus Graphing Calculator and use it for all it’s worth, and that’s a lot. With easy-to-follow, step-by-step instructions plus screen shots, TI-83 Plus Graphing Calculator For Dummies shows you how to:

Perform basic arithmetic operations
Use Zoom and panning to get the best screen display
Use all the functions in the Math menu, including the four submenus: MATH, NUM, CPS, and PRB
Use the fantastic Finance application to decide whether to lease or get a loan and buy, calculate the best interest, and more
Graph and analyze functions by tracing the graph or by creating a table of functional values, including graphing piecewise-defined and trigonometric functions
Explore and evaluate functions, including how to find the value, the zeros, the point of intersection of two functions, and more
Draw on a graph, including line segments, circles, and functions, write text on a graph, and do freehand drawing
Work with sequences, parametric equations, and polar equations
Use the Math Probability menu to evaluate permutations and combinations
Enter statistical data and graph it as a scatter plot, histogram, or box plot, calculate the median and quartiles, and more
Deal with matrices, including finding the inverse, transpose, and determinant and using matrices to solve a system of linear equations

Once you discover all you can do with your TI-83 Plus Graphing Calculator, you’ll find out how to make it do more! This guide shows you how to download and install the free TI Connect software to connect your calculator to your computer, and how to link it to other calculators and transfer files. It shows you how to help yourself to more than 40 applications you can download from the TI Web site, and most of them are free. You can choose from Advanced Finance, CellSheet, that turns your calculator into a spread sheet, NoteFolio that turns it into a word processor, Organizer that lets you schedule events, create to-do lists, save phone numbers and e-mail addresses, and more.

Get this book and discover how your TI-83 Plus Graphing Calculator can solve all kinds of problems for you.

Download Description

Finally, a For Dummies guide to a hugely popular calculator

Widely used by high school and college students in a wide range of math courses, the Texas Instruments TI83+ graphing calculator sold 2.5 million units in just the last year. Now, at last, there's For Dummies help for these students, as well as their parents and teachers, as they try to figure out basic TI83+ functions, make the most of the ten preloaded software applications, and start crunching numbers!

C. C. Edwards, PhD (Myrtle Beach, SC), teaches at Coastal Carolina University. She has written for Texas Instruments' calculator newsletter and contributed calculator projects

to the company's Web site.

Customer Reviews:

Very informative; Great resource.......2007-05-22

I found this book to be absolutely necessary when using the TI-83 Plus Graphing Calculator. There are areas of this book that are very technical, but as I got further along in College Algebra, I was able to figure most of it out. I mainly used the book as a resource to look up how to do things or answer questions. The error section provided by the author was a tremendous help when troubleshooting syntax errors and configuring the window setup.

This will help with College Algebra.......2007-03-20

I bought this book for my husband who is going for his Bachelors degree and found out that our other college course didn't transfer. This has helped him so much and he is holding a 93% in the class. Will everyone get this good a grade? Maybe not but it helped my husband. Easy explanations and instructions to follow. Would definitely recommend.

Beats the Heck out of "Manual" Labor!.......2006-11-19

All too often students and professionals get tekkie-toys that they just don't have time to learn throughly. This book manages to do just that for the TI-83+; quickly, without expending midnight oil or pulling out any hair.

"For Dummies" is a misleading title for this series. Call it "For Smart People who Value their Time and expect results".

acccurate.......2006-11-06

got what i ordered in a timely manner very satisfied, wiil use site again

Superior guide to the TI-83 Plus.......2006-02-25

I will shelve the instruction manual that came with the calculator. This is the manual to use. Easy to understand.

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