Introduction to Random Signals and Applied Kalman Filtering with Matlab Exercises and Solutions, 3rd Edition
Average customer rating: 4 out of 5 stars
  • Lacking explanations as a textbook
  • what you need to get started
  • what you need to get started
  • Best Kalman filter book
  • Kalman filters, Brown & Hwang vs. Gelb
Introduction to Random Signals and Applied Kalman Filtering with Matlab Exercises and Solutions, 3rd Edition
Robert Grover Brown , and Patrick Y. C. Hwang
Manufacturer: Wiley
ProductGroup: Book
Binding: Paperback

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  1. Applied Optimal Estimation Applied Optimal Estimation
  2. Kalman Filtering : Theory and Practice Using MATLAB Kalman Filtering : Theory and Practice Using MATLAB
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ASIN: 0471128392

Book Description

In this updated edition the main thrust is on applied Kalman filtering. Chapters 1-3 provide a minimal background in random process theory and the response of linear systems to random inputs. The following chapter is devoted to Wiener filtering and the remainder of the text deals with various facets of Kalman filtering with emphasis on applications. Starred problems at the end of each chapter are computer exercises. The authors believe that programming the equations and analyzing the results of specific examples is the best way to obtain the insight that is essential in engineering work.

Customer Reviews:

2 out of 5 stars Lacking explanations as a textbook.......2004-02-11

I am trying to learn the subject by reading this and Gelb. Even though this book covers a lot of introductory concepts, it is lacking proper derivation of equations that I usually see in most math and physics textbooks. I find this book very disappointing for its price.

5 out of 5 stars what you need to get started.......2003-07-05

I have read over simplified and over complicated descriptions
of the Kalman filter for years. The theoretical discussion is
well matched to the examples. THe authors have obviously had
extensive experiance TEACHING to a wide range of students and
the book benefits from their experiance.

I was able to program filters for three of the examples that
most closely match my own applications and exploit what I
learned in a matter of hours. The MATLAB code was useful, but
not critical.

5 out of 5 stars what you need to get started.......2003-07-05

I have read over simplified and over complicated descriptions
of the Kalman filter for years. The theoretical discussion is
well matched to the examples. THe authors have obviously had
extensive experiance TEACHING to a wide range of students and
the book benefits from their experiance.

I was able to program filters for three of the examples that
most closely match my own applications and exploit what I
learned in a matter of hours. The MATLAB code was useful, but
not critical.

5 out of 5 stars Best Kalman filter book.......2003-03-12

I use this book on a daily basis. It is worth its weight in gold.

2 out of 5 stars Kalman filters, Brown & Hwang vs. Gelb.......2003-02-07

This is not my favorite text on Kalman filters. I find there is too much emphasis on elementary, preliminary material, and not enough on application.

I teach the subject out of my own notes (draft book) where the development follows that of Gelb, Applied Optimal Estimation, and all of the computations are done in Matlab. I first read Kalman's original papers in great detail, and rederived his work before the Gelb book (MIT Press, 1974) was published. Since the advdent of Matlab (1984) I have continued to used Gelb's derivations, and augmented that work with extensive Matlab examples.

I still find Gelb more usable as a text than other, newer books, and will continue to use it along with my Matlab supplements.
Introduction to Wavelets and Wavelets Transforms
Average customer rating: 4.5 out of 5 stars
  • Nice approach (for physicists)
  • Good Book
  • If you don't know anything about Wavelet Analysis Start Here
  • introduction to Wavelets and Wavelets transforms
  • theoretically sound, non-trivial tutorial
Introduction to Wavelets and Wavelets Transforms
C. Sidney Burrus , and Ramesh A. Gopinath
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

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ASIN: 0134896009

Book Description

This book is the only source available that presents a unified view of the theory and applications of discrete and continuous- time signals. This is the only book to present the mathematical point of view, as well as the discrete-time signal processing perspective. It brings together information previously available only in research papers, in engineering and applied mathematics. Appropriate for researchers and practitioners in signal processing and applied mathematics.

Customer Reviews:

4 out of 5 stars Nice approach (for physicists).......2006-05-16

If you studied Mathematical Physics or if you like the mathematical approach that physicists used to write their papers and lectures, it 's a pleasant book to understand wavelets.

5 out of 5 stars Good Book.......2005-06-11

Before reading this book, read the wavelet chapter from

Digital Image Processing (2nd Edition)
by Rafael C. Gonzalez, Richard E. Woods

5 out of 5 stars If you don't know anything about Wavelet Analysis Start Here.......2001-04-15

I have examined most of the popluar books printed on the subject of Wavelet Analysis and this is the best book for those who want to understand what a wavelet is, where is comes from, and how is it is useful for performing Time Scale signal analysis. I strongly suggest starting with this book.

5 out of 5 stars introduction to Wavelets and Wavelets transforms.......2001-02-03

The introduction to Wavelets and Wavelets transform aplications.

4 out of 5 stars theoretically sound, non-trivial tutorial.......1998-07-22

This book is a crafted piece as opposed to one of those collections of journal articles that usually leave you wondering. It appears to have a sound theoretical foundation with some clearly presented definitions and theorems. I wouldn't hesitate to spend time with this one.
The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots
Average customer rating: 4.5 out of 5 stars
  • Good Introduction to Knots
  • Written for a non-mathematician but certainly enjoyable by mathematicians!
  • Pretty good introduction
  • Great introduction to knot theory
  • Excellent motivation for knot theory
The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots
Colin C. Adams
Manufacturer: W. H. Freeman
ProductGroup: Book
Binding: Paperback

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ASIN: 0716742195

Amazon.com

In February 2001, scientists at the Department of Energy's Los Alamos National Laboratory announced that they had recorded a simple knot untying itself. Crafted from a chain of nickel-plated steel balls connected by thin metal rods, the three-crossing knot stretched, wiggled, and bent its way out of its predicament--a neat trick worthy of an inorganic Houdini, but more than that, a critical discovery in how granular and filamentary materials such as strands of DNA and polymers entangle and enfold themselves.

A knot seems a simple, everyday thing, at least to anyone who wears laced shoes or uses a corded telephone. In the mathematical discipline known as topology, however, knots are anything but simple: at 16 crossings of a "closed curve in space that does not intersect itself anywhere," a knot can take one of 1,388,705 permutations, and more are possible. All this thrills mathematics professor Colin Adams, whose primer offers an engaging if challenging introduction to the mysterious, often unproven, but, he suggests, ultimately knowable nature of knots of all kinds--whether nontrivial, satellite, torus, cable, or hyperbolic. As perhaps befits its subject, Adams's prose is sometimes, well, tangled ("a knot is amphicheiral if it can be deformed through space to the knot obtained by changing every crossing in the projection of the knot to the opposite crossing"), but his book is great fun for puzzle and magic buffs, and a useful reference for students of knot theory and other aspects of higher mathematics. --Gregory McNamee

Book Description

Over a century old, knot theory is today one of the most active areas of modern mathematics. The study of knots has led to important applications in DNA research and the synthesis of new molecules, and has had a significant impact on statistical mechanics and quantum field theory.

Colin Adams’s The Knot Book is the first book to make cutting-edge research in knot theory accessible to a non-specialist audience. Starting with the simplest knots, Adams guides readers through increasingly more intricate twists and turns of knot theory, exploring problems and theorems mathematicians can now solve, as well as those that remain open. He also explores how knot theory is providing important insights in biology, chemistry, physics, and other fields. The new paperback edition has been updated to include the latest research results, and includes hundreds of illustrations of knots, as well as worked examples, exercises and problems.

With a simple piece of string, an elementary mathematical background, and The Knot Book, anyone can start learning about some of the most advanced ideas in contemporary mathematics.

Customer Reviews:

3 out of 5 stars Good Introduction to Knots.......2007-07-03

In terms of content, I would rate this book 4-5 stars. However, I rated it three stars because it had a flaw in terms of readibility. If you are willing to devote a lot of time to the subject, and are willing to take the time to work through all of the exercises, then this is the book for you. However, if you are just looking for some light reading on an unusual subject, there is a problem with the book. In many cases, if you don't complete the exercises, your ability to understand what follows in the chapter will be impaired. I bought the book to read on the train, and did not really have the facilities to work through all of the exercises. For me, the book would be greatly improved if solutions to some of the exercises (at least in sketch form) were included as an appendix.
In addition to being a good introduction to knots, the book also covers many othet topics in topology as well. At the end of the book, the author tries to show that there are practical applications to knot theory, but for the most part he appeared to be stretching. It seems that knot theory is pretty close to being "pure" mathematics. One thing that he did miss, however, was the application of knot theory to tying neckties. That would have been really practical!

5 out of 5 stars Written for a non-mathematician but certainly enjoyable by mathematicians!.......2006-11-16

This book is aimed at making knot theory accessible to people with little mathematical background, and it does so beautifully. However, the material is not watered down--and there is quite a lot of material in this book, as well as a number of open questions (which are quite difficult). The book starts with basics and seems easy, but it gets into challenging concepts rather quickly. Knot theory is one area of abstract mathematics that is particularly accessible to people with little background and this book works off this assumption quite well. Most importantly, this book is fun--it brings out the fun in the subject, and in mathematics in general!

This book would make excellent reading for anyone who likes puzzles, abstract thought, or novel forms of mathematics. It also would be interesting for mathematicians who want an introduction to knot theory. Someone who wants a more mathematical (but still accessible) treatment might want to check out "Knots and Surfaces" by N. D. Gilbert. In some respects it is a natural follow-up to this book. It is slightly more concise and has more rigorous mathematics in it.

5 out of 5 stars Pretty good introduction.......2005-03-31

One can make nothing wrong buying this book. It gives an easy introduction, and most parts are well explained. Don't expect to become an expert in knot theory after reading it but at least you are then familiar with the basics.

5 out of 5 stars Great introduction to knot theory.......2003-03-09

Having first been exposed to interesting knots while in undergraduate courses in biology and chemistry and occasionally encountering knots in my mathematical life, I have long maintained a passing interest in the field. However, until now, no single event evoked a reaction strong enough to pique a desire to explore. All it took to change that was the reading of this book by Adams.
Surprisingly complete for an introductory text, it is also amazingly understandable. Requiring only knowledge of polynomials and a mind capable of understanding twists, I found it addictive. This is one area where it pays not to think straight. After reading it twice, I still pick it up and scan it in odd moments. Problems are scattered throughout the book, and many can be solved using only a piece of string. Those that are still unsolved are clearly marked, with is good, since the statements are often very simple.
There are many applications and the number is growing all the time. One of the most profound images and statements of discovery was the pictures of the knotting of the rings of Saturn and commentator Carl Sagan saying, "We don't understand that at all. We will have to invent a whole new branch of physics to understand it." The most esoteric recent explanation of the structure of the universe is the theory of superstrings, where all objects are multi-dimensional knots. A fascinating problem in molecular biology of the gene is the process whereby DNA coils when quiescent and uncoils to be copied. One chapter is devoted to applications, although more would have been helpful.
A non-convoluted introduction to the theory of convolutions, this book belongs in every mathematical library.

Published in Journal of Recreational Mathematics, reprinted with permission.

5 out of 5 stars Excellent motivation for knot theory.......2002-06-27

Knot theory has been a branch of mathematics that has been around for over a century, and now is finding applications in mnay areas, some of these being electrical circuit analysis, genetics, dynamical systems, and cryptography. This book, written for the layman or the beginning student of mathematics, is an excellent overview of what is known (and not known) in knot theory. Because of the pictorial nature of the subject, knot theory is an excellent way to get people interested in mathematics. Knot theory now is an established branch of mathematics, and it involves the use of tools from topology, analysis, and algebra. The problem of distinguishing one knot from another is one of the major questions in knot theory, and its partial resolution has been assisted by concepts from physics, namely statistical mechanics and quantum field theory. The author discusses the knot recognition problem, and other unsolved problems in the book, and he points out that in knot theory the unsolved problems can be approached by someone with very little background in advanced mathematical techniques. The author does an excellent job of introducing these problems and letting the reader experience, in his words, the joy of doing mathematics.

Chapter 1 is an introduction to the basic terminology of knot theory, and the author gives examples of the most popular elementary knots. He points out the historical origins of the theory, one of these being the attempt by Lord Kelvin to explain the origins of the elements, interestingly. The basic operations on knots are defined, such as composition and factoring, and the famous Reidemeister moves. The proof that planar isotopies and Reidemeister moves suffices to map one projection of a knot to another is omitted. After defining links and linking numbers, the author then discusses tricolorability, and uses this to prove that there are nontrivial knots.

Chapter 2 then overviews the strategies used in the tabulation of knots.The Dowker notation, used to describe a projection of a knot, is discussed as a tool for listing knots with 13 or less crossings. The author also discusses the Conway notation, and how it is used to study tangles and mutants. Graph theory is also introduced as a technique to study knot projections. The author discusses the unsolved problem of finding an elementary integer function that gives the prime knots with given crossing number, a problem that has important ramifications for cryptography (but the author does not discuss this application).

Since knots are complicated objects, then like many other areas in topology, the strategy is to assign a quantity to a knot that will distinguish it from all other knots. Such a quantity is called an invariant, and as one might guess, no one has yet found an invariant to distinguish all nontrivial knots from each other. In the last two decades though, new powerful knot invariants have been discovered, many of these being based on concepts from theoretical physics. In chapter 3, the author discusses the unknotting number, the bridge number, and the crossing number as elementary examples of knot invariants.

Chapter 4 is more complicated, in that the author shows how to use surfaces to assist in the understanding of knots. After discussing how to triangulate an surface and the concept of a homoeomorphism between surfaces, he introduces the Euler characteristic as an invariant of surfaces. Surfaces appear in knot theory as the space in the knot's complement, and the author introduces the concept of the compressibility of a surface, also very important in three-dimensional topology. Particular attention is paid to Seifert surfaces, which, given a particular knot, are orientable surfaces with one boundary component such that the boundary component is the knot in question.

Several different types of knots are considered in chapter 5, such as torus, satellite and hyperbolic knots. The latter are particularly interesting, since their study is part of the field of hyperbolic geometry, a subject that is now undergoing intense study. The author also introduces the theory of braids and the braid group. Not only are braids very important in the study of knots, but they have taken on major importance in cryptography and dynamical systems.

Chapter 6 is very interesting, and introduces some of the more contemporary topics in knot theory. The assignment of polynomials to knots goes back to the early 20th century, but it took the work of Vaughan Jones and his use of ideas from operator theory and statistical mechanics to provide polynomial invariants of knots that were much finer than the Alexander polynomial of the 1930s. The Jones polynomial however is not introduced the way Jones did, but instead via the Kaufmann bracket polynomial. The HOMFLY polynomial is introduced as a polynomial that generalizes the Jones and Alexander polynomials.

A few applications of knot theory are discussed in Chapter 7, such as the DNA molecule and topological stereoisomers. The author also discusses the applications of knot theory to the theory of exactly solvable models in statistical mechanics, a topic that has mushroomed in the past decade. This is followed by a brief overview of applications of knot theory to graph theory in chapter 8.

Chapters 9 and 10 are an introduction to knot theory as it relates to research in the topology of 3-dimensional manifolds and the existence of knots in dimensions higher than 3. The concepts introduced, particulary the idea of a Heegaard diagram, are used extensively in the study of 3-manifolds. In addition, the author mentions the famous Poincare conjecture, albeit in non-rigorous terms. The Kirby calculus, which is a kind of generalization of the Reidemeister moves, but instead models the sequence of operations that allow one to change from one Dehn surgery description of a 3-manifold to another is briefly discussed. The author also gives a few elementary, intuitive hints about how to visualize knotted objects in high dimensions.
An Introduction to the Mechanics of Fluids (Modeling and Simulation in Science, Engineering and Technology)
Average customer rating: 4 out of 5 stars
  • Excellent
  • remarkable book
  • Disappointing
An Introduction to the Mechanics of Fluids (Modeling and Simulation in Science, Engineering and Technology)
C. Truesdell , and K.R. Rajagopal
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817640142

Customer Reviews:

5 out of 5 stars Excellent.......2002-09-06

This book is unique. It is the most comprehensive treatment of the basic theory of Newtonian and non-Newtonian fluids that I know of.
It contains a lot of interesting material that is not treated in elementary texts and is dispersed in the research literature, and the authors present it in a rigorous but engaging manner. What I value most of the book are the insightful comments and discussions throughout; it gives one a proper perspective and a deepened understanding of the subject. The book is not suitable for a first course in fluid mechanics, but it should be an excellent text for beginning graduate students -- both engineering students who want to learn the mathematics and mathematics students who want to understand the physics.

5 out of 5 stars remarkable book.......2001-05-23

There is no other introduction to fluid mechanics that even comes close to this book. I hope it becomes the standard introduction to the subject. It is unique, clear, and perceptive. The best think I can say for it is this: A student could spend decades trying reach the level of understanding they would get from reading this elegant book.

2 out of 5 stars Disappointing.......2001-02-22

Because I am a big fan of previous works from one of the authors, it came as surprise to me how disappointing this new book is. The book contains a lot of material and discussions that are irrelevant to the science of Fluid Mechanics. In many occasions, the clarity of the theoretical expositions is overshadow by lateral discussions that cannot be justified on a book of such basic level. The reader is left wondering if there was agreement and understanding among the authors on the content selected for the book. I read the book and got the feeling that the book contains parts that are original and interesting. The problem is that they never coincide: when they are interesting they are not original - when they are original they are not interesting. As a whole the book did not add to my collection.
Introduction To Probability And Statistics: Principles And Applications for Engineering and The Computing Sciences
Average customer rating: 3 out of 5 stars
  • a standard statistics book for engineers
  • Pretty Solid
  • Very Good as Textbook
  • not entry level
  • More garbage by professional academics
Introduction To Probability And Statistics: Principles And Applications for Engineering and The Computing Sciences
J. Susan Milton , and Jesse C. Arnold
Manufacturer: McGraw-Hill Companies
ProductGroup: Book
Binding: Hardcover

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ASIN: 0070426236

Book Description

This well-respected text is designed for the first course in probability and statistics taken by students majoring in Engineering and the Computing Sciences. The prerequisite is one year of calculus. The text offers a balanced presentation of applications and theory. The authors take care to develop the theoretical foundations for the statistical methods presented at a level that is accessible to students with only a calculus background. They explore the practical implications of the formal results to problem-solving so students gain an understanding of the logic behind the techniques as well as practice in using them. The examples, exercises, and applications were chosen specifically for students in engineering and computer science and include opportunities for real data analysis.

Customer Reviews:

2 out of 5 stars a standard statistics book for engineers.......2007-05-19

I taught a class at upper undergraduate level (mostly junior students) for a non-majors (mostly engineering students, some economics and political science) at a research university using this book.

It was written in the mid 1980s, and has not seen major updates even though it now comes in 4th edition. One of the assignments I gave was to comment whether you recognize the brand names of the mainframe computers mentioned in the problem. Newer stuff like say the bootstrap or machine learning or anything like that is not mentioned anywhere nearly. True, it has all the major results and techniques, but it was written by statisticians as the first course in statistics for to-be-statisticians, rather than the-only-course-in-statistics-you'll-ever-see for engineers. Thus a lot of things could have been presented in a different way with a different depth of exposure. Say the reliability, arguably a more important topic for engineers than moment generating function techniques, deserves a whole separate chapter, rather than being stuck in a middle of the chapter on continuous distributions. Simulations could have been highlighted throughout the book -- a good fraction of my students would probably be geekier than me with computers. I would unite all the confidence intervals under the umbrella of a single chapter, rather than presenting the CI for mean in one chapter and CI for variance in the next one. And so on. There even were errors in the answers in the end of the book, although you would probably expect the fourth edition not to have any.

Students complained a lot about the book in my class, too. Some said it did not help much, although there were others who did not come much to class (admittedly, I am a pretty boring lecturer) and got B's and A's, so apparently it was of some use to them. The price is of course also an issue: I personally won't pay $120 for book of this quality to sit in my professional library, and it sucks that I have my students buy it.

All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics) is a much more modern book, although in all likelihood it would be difficult for my clientelle. My other favorite is Seeing Through Statistics (with CD-ROM and InfoTrac ), but this one is on the other side of technicality, being too easy.

4 out of 5 stars Pretty Solid.......2006-01-14

For what it is, it's pretty good. Very well organized, and easy to read (a little dry, but this isn't exactly a recreational novel). Four stars only because it wouldn't hurt to help us use some modern tools (calculators, computer software, etc), instead of the tables in the back. Maybe that's changed since my 3rd edition.

4 out of 5 stars Very Good as Textbook.......2005-07-15

This book was recently used as a textbook for an engineering statistics class. Many of the students liked the book and found it easy to read. The level of mathematics in the book is excellent for a college level statistics textbook. I would have given it a five star rating if propogation of error and nonlinear regression analysis were covered in the textbook.

5 out of 5 stars not entry level.......2005-04-29

This isn't entry level book. For entry level, read ISBN 0073660078 first. Then read Milton's book.

1 out of 5 stars More garbage by professional academics.......2004-10-14

This book is used in introductory probability and statistics courses, yet it reads like the authors' awkwardly written cliff notes.

The authors insist on using multiple levels of mathematical indirection to introduce even the most basic of theorems. Examples in the reading consist mostly of long drawn out, and totally unreferenceable word problems. There are no diagrams to help visualize concepts until chapter four. Summaries are wordy. Summaries of similar topics are inconsistently worded leading to a lack of parallelism, and gratuitously increasing the difficulty of comparing them.

Overall, this is a useless book to learn or study from.
Chaotic Vibrations: An Introduction for Applied Scientists and Engineers
Average customer rating: Not rated
    Chaotic Vibrations: An Introduction for Applied Scientists and Engineers
    Francis C. Moon
    Manufacturer: Wiley-Interscience
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0471856851

    Book Description

    Translates new mathematical ideas in nonlinear dynamics and chaos into a language that engineers and scientists can understand, and gives specific examples and applications of chaotic dynamics in the physical world. Also describes how to perform both computer and physical experiments in chaotic dynamics. Topics cover Poincare maps, fractal dimensions and Lyapunov exponents, illustrating their use in specific physical examples. Includes an extensive guide to the literature, especially that relating to more mathematically oriented works; a glossary of chaotic dynamics terms; a list of computer experiments; and details for a demonstration experiment on chaotic vibrations.
    Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers
    Average customer rating: 4 out of 5 stars
    • Fractal, Chaos, IFS
    Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers
    Francis C. Moon
    Manufacturer: Wiley-Interscience
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0471545716

    Book Description

    A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.

    Customer Reviews:

    4 out of 5 stars Fractal, Chaos, IFS.......2000-05-10

    I want some more information about the book
    Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
    Average customer rating: 5 out of 5 stars
    • A good book for introduction
    • An excellent introduction
    • A excellent introduction to chaos
    • fundamental, systematic
    • Good book!
    Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
    Robert C. Hilborn
    Manufacturer: Oxford University Press, USA
    ProductGroup: Book
    Binding: Hardcover

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    Similar Items:
    1. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
    2. Chaos and Time-Series Analysis Chaos and Time-Series Analysis
    3. Nonlinear Time Series Analysis Nonlinear Time Series Analysis
    4. Dynamical Systems with Applications using MATLAB Dynamical Systems with Applications using MATLAB
    5. Chaos in Dynamical Systems Chaos in Dynamical Systems

    ASIN: 0195057600

    Book Description

    This is the only book that introduces the full range of activity in the rapidly growing field of nonlinear dynamics to an audience of students, scientists, and engineers with no in-depth experience in the area. The text uses a step-by-step explanation of dynamics and geometry in state space as a foundation for understanding nonlinear dynamics. It goes on to provide a thorough treatment of such key topics as differential equation models and iterated map models (including a derivation of the famous Feigenbaum numbers), the surprising role of number theory in dynamics, and an introduction to Hamiltonian dynamics. This is the only book written at this introductory level to include the increasingly important field of pattern formation, along with a survey of the controversial questions of quantum chaos. Important analytical tools, such as Lyapunov exponents, Kolmogorov entropies, and fractal dimensions, are treated in detail. With over 200 figures and diagrams, and both analytic and computer exercises following every chapter, the book is ideally suited for use as a text or for self-instruction. An extensive collection of annotated references brings the reader into contact with the literature in nonlinear dynamics, which the reader will be prepared to tackle after completing the book.

    Customer Reviews:

    4 out of 5 stars A good book for introduction.......2007-05-22

    I have recently bought this book. I have been studying on evolution of the test particles in a particular planewave spacetimes, and I have realized that the system admits a non-integrable structure. I should investigate whether the particle motion emerges chaos or not. But, my knowledge on chaos was almost zero, before buying this book. Now, I am going to complete the full analysis of the book, and I am much more familiar to the concept of chaos. However, this book can be used for just begining. To proceed to the advanced problems you should look for other materials, especially to the articles about chaos. I advise this book as a first book to start chaos.
    Dr. Izzet Sakalli

    5 out of 5 stars An excellent introduction.......2007-03-09

    Covers the basics in an in-depth manner, and exposes the reader to a wide range of exciting problems in dynamical systems theory. THE book to start with if one is interested in chaos.

    5 out of 5 stars A excellent introduction to chaos.......2003-11-25

    This is an accessible and readable introductory textbook on chaos and nonlinear dynamics. It focuses on the ideas behind the theory of chaos, rather than on the details of the mathematics which can sometimes hinder rather than help the reader gain real insight into the mechanisms of nonlinear systems.

    By this I do not mean that the author skips over the required mathematics. The text is intended for people with a solid background in differential equations, and some familiarity with classical dynamical systems is also helpful if not completely necessary. I would say it is targeted for advanced undergraduate or beginning graduate students in the mathematical sciences, as well as scientists/engineers with no background in chaos theory. However he does not get bogged down in mathematics at the expense of physical insight. I have been studying the book on my own and have run into few problems in understanding the explanations.

    The first chapter goes over 3 chaotic systems as a practical way of introducing the reader to various features of such systems. This provides a basis of practical experience to draw upon for the rest of the book, where the principles of chaos are examined in greater detail. The extensive references given in the book are a valuable addition that can be used to further explore the scientific literature. The references include journal papers as well as books, articles, and software for dynamical systems.

    If you have the requisite mathematical background and want to learn the basics of chaos and nonlinear dynamics, I highly recommend this book.

    5 out of 5 stars fundamental, systematic.......2001-11-07

    If you are looking for a textbook or reference on chaos theory, I recommend you to buy this book.

    If you read other books, you will eventually comment,'chaos is something related to mathematics, very abstract, has nothing to do with my messy bedroom...'

    But if you read this book, you will scream,'Great! I have figured out the richness of the nonlinear world. I understand the different dynamical routes to chaos. I know different quantifying methods with their pros and cons. Most fascinating is that chaos is related to pattern formation and self organization, which I consider them as another field of knowledge before. Also chaos may provide a new approach to quantum mechanics, a good news for those including me who do not believe in the parallel universe interpretation. By the way, I learnt a lot from this book!'

    5 out of 5 stars Good book!.......2000-08-05

    If you want to get on into chaos, just read this book. I especially like the very wide scope of the subjects considered and the insight provided by the author in pattern formation or quantum chaos.
    C for Engineers and Scientists: An Introduction to Programming With ANSI C
    Average customer rating: 4 out of 5 stars
    • A Decent Student Text
    C for Engineers and Scientists: An Introduction to Programming With ANSI C
    Gary J. Bronson , and Howard Silver
    Manufacturer: West Publishing Company
    ProductGroup: Book
    Binding: Paperback

    GeneralGeneral | Introductory & Beginning | Programming | Computers & Internet | Subjects | Books
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    ASIN: 0314008160

    Book Description

    This text introduces the C programming language using a range of engineering and science applications in the examples and exercises. The book assumes no programming experience and is suitable for an introduction to programming course (using C instead of Fortran or Pascal). Structured programming principles are introduced early and used throughout. Clear explanations and many example programs (using ANSI C) show C as a powerful tool in engineering and science applications. Includes exercises after each section, common programming error sections, and chapter summaries.

    Customer Reviews:

    4 out of 5 stars A Decent Student Text.......2007-09-14

    This is the book I used for my "C for Scientists and Engineers" class that I had many moons ago. I like it. The material is general enough that the fact that it's fairly old doesn't hinder the learning experience (especially for a beginner), and is still applicable. There is the occasional typo (one of which causes an unintentional infinite loop in one of the examples), but not enough to shadow the good material.
    Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers
    Average customer rating: Not rated
      Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers
      Robert C. Hilborn
      Manufacturer: Oxford University Press, Incorporated
      ProductGroup: Book
      Binding: Hardcover
      ASIN: B000OLU1DG

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