Book Description
This significantly revised and expanded second edition of
Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.
New to the second edition:
* Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples
* Many new or expanded examples, problems, and solutions
* Additional references and reader suggestions have been incorporated
Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, for professional teacher development seminars and workshops, for self-study, or as a resource for training for mathematical competitions.
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From a review of the first edition:
"This [book] is…much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into mastery…. The book is aimed at motivated high school and beginning college students and instructors. It can be used as a text for advanced problem-solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions, and for teacher professional development, seminars, and workshops.
I strongly recommend this book for anyone interested in creative problem-solving in mathematics…. It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure."
—The Mathematical Gazette
Customer Reviews:
This book is amazing!.......2003-02-19
I remember the first time I touched this book, i fell so in love with it that it was very hard for me to remember how many other things I had to do during my day. It really illustrated how every problem you solve (or at least try really hard) can be an entire lesson you can use later on.
It is very well organized, even the problems in each section are set in a way that each one helps with the previous one in case a more creative solution doesn't show up...
I love this book, and I really recommend it for any student studying for any math contest around the world. It really helped me, and I'm sure it will do the exact same thing to anyone with the desire to spend countless hours solving beautiful math problems. Good luck, God bless you all :)
Pura vida.
Fantastic Book!.......2001-08-06
This is a marvelous book for lovers of mathematical problems. Scattered about are wonderful problems in Geometry, Trig, Algebra and Analysis, Invariants, and Number Theory. A truly delightful read that will have you working on some problems for hours. Each section introduces the reader to the concept or technique needed to solve the problems in each section. The problem sets start off with a few "warm-up" problems that quickly build up to some that require keen (some brilliant!) insight. A true gem among most problem books since this book is not merely a book of problems, but also contains clear presentations and introductions to various concepts in mathematics. The solutions are a true delight, the ingenuity and beauty of mathematical problem solving is captured exquisitely in this fabulous book. Highly Recommended. A++
Review for Mathematical Olympiad Challenges........2001-04-05
The book, Mathematical Olympiad Challenges", is a delightful book on problem solving written by two of the leaders of the craft. Mathematical problem solving is a skill that can be honed like any other and this book is an ideal tool for the job. Problem solving usually involves elementary mathematics; this does not mean "easy mathematics". An elementary mathematical problem is one that is easily stated and can be understood by anyone who has had basic training in the subject (up to calculus). The solution, though, may be quite hard and may require a great deal of ingenuity and thought.
It should be noted that being an exceptional problem solver does not necessarily make one a good mathematician, but it helps. This is certainly true of the second author who is also a renowned mathematician in the field of knot theory and three dimensional topology.
As mentioned the two authors have a sterling record in the arena of problem solving and in coaching would be problem solvers. I am more familiar with Razvan Gelca who led the University of Michigan team to a top five finish in the highly competitive and extremely challenging Putnam exam. This exam is administered yearly and is open to all college students in North America; usually around 430 universities and colleges send teams to compete in the Putnam. The exam has been offered since the thirties and finishing at the top carries a great deal of prestige. Razvan's superior abilities led to the spectacular success of the Michigan team which was no mean feat.
My own experience with the book has been one of revelation with each passing page. I used the book to teach the problem solving course at the University of Michigan, Ann Arbor, and it helped me immensely. The book possesses a variety of topics in elementary mathematics, ranging from algebra to geometry to trigonometry to number theory. Each chapter is divided into sections and each section has a theme. In keeping with the theme, the authors mention some useful formulae and/or facts that may be used in that section. This is followed by a demonstration of some dazzling problem solving techniques applied to a couple of problems. This is then followed by a list of challenging problems of varying levels of difficulty, all related to the theme of the section. There are roughly 18 such sections and many, many problems to think about. The rest of the book, which is the bulk of it, is dedicated to providing elegant solutions to every problem posed in the first part. Occasionally a problem merits more than one solution and sometimes the way is pointed to some interesting mathematics. The authors also acknowledge the source of many of the problems in the book which is a good indicator of the pedigree of the problem. Almost every solution is a gem and each problem demands its own style of solution. As noted earlier, problem solving is a skill and the authors try and succeed in conveying that idea in the problems and solutions they present.
Here is a sample problem from the book; if you can't do it and want to know how, check out the book:
"Show that any cube can be divided into 'n' cubes for any integer 'n' bigger than 54."
In summary if you are interested in figuring out puzzles, if you are a problem solver of elementary mathematical problems, or if you are just plain curious how a large fraction of mathematicians got hooked on mathematics, I would highly recommend you give this book a try. You may learn something and may even enjoy yourself in the process.
Pure delight!.......2001-02-10
I have spent many entertaining hours going through the book only to realize how rusty I became in these last 25 years that passed since I was faighting a hopeless battle in the Romanian solvers' contest against the first author.
The book is centered around a number of tools, tricks, techniques, as you want to name them, which are then used to solve a number of problems depending on them.
The problems are carefully arranged in increasing order of difficulty (maybe that's the reason I was able to solve some of the first entries!), so that the reader is not immediately discouraged by problems too hard to solve.
The actual selection of the problems clearly reflects the taste of the authors. Not a bad taste, I would say, if one notices that Titu Andreescu was the man behind the brilliant success of the USA olimpic team in 1994 (all whose members got then the maximum possible number of points).
I was one of the coaches of an olimpic team myself and I know how fast one goes through a list, I would say through *any* list of problems with these gifted guys. From this point of view, the book is an essential instrument for all who contemplate being involved in problem solving training.
But the book is a good teaching tool for high school teachers who wish to challenge their best students with more interesting problems. As another potential pool of customers, I would say that those old sea wolfs as myself, who get bored from time to time of the technicalities of professional maths will find this book a nice companion.
Yes, I like this book and I warmly recommend it to all lovers of problem solving.
Can I write in Portuguese ?.......2000-05-30
Este é o melhor livro que já vi sobre olimpíadas de matématica, comparando-se com o Winning Solutions e Problems Solving Strategies que também são vendidos pela Amazon.com, que é sem dúvida a maior e melhor livraria do mundo. Este livro cita vários problemas conhecidos de importantes olimpíadas como IMO e ASIAN PACIFIC além de outras, além de abordar interessantes técnicas de como resolver problemas como substituição de variáveis trigonométricas. Pode ser considerado realmente um incomparável e imperdível livro que todos os alunos e professores de olimpíada de matemática deveriam ter... É realmente um tesouro matemático !
Book Description
This book contains 500 problems that range over a wide spectrum of mathematics and of levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained by the book. For many problems, more than one solution is supplied so that students can compare the elegance and efficiency of different mathematical approaches. A special mathematical toolchest summarizes the results and techniques needed by competition-level students. Teachers will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. The problems were first published as a series of problem booklets almost twenty years ago. They have stood the test of time and the demand for them has been steady. Their publication in book form is long overdue.
Customer Reviews:
Maths Challenges from MAA.......2000-08-30
As are all maths challenges from MAA, the problems in this book take a long time to solve for the average reader. It can be used for polishing up your skills or as extra projects.
Average customer rating:
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Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges (Contemporary Mathematics)
Manufacturer: American Mathematical Society
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ASIN: 0821837753
Release Date: 2006-11-01 |
Product Description
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, held in Snowbird, Utah, July 17-21, 2005. The goal of the conference was to bring together leading and upcoming researchers to discuss the latest advances and challenges associated with the modeling of the dynamics of emerging and re-emerging diseases, and to explore various control strategies. The articles included in this book are devoted to some of the significant recent advances, trends, and challenges associated with the mathematical modeling and analysis of the dynamics and control of some diseases of public health importance. In addition to illustrating many of the diverse prevailing epidemiological challenges, together with the diversity of mathematical approaches needed to address them, this book provides insights on a number of topical modeling issues such as the modeling and control of mosquito-borne diseases, respiratory diseases, animal diseases (such as foot-and-mouth disease), cancer and tumor growth modeling, influenza, HIV, HPV, rotavirus, etc. This book also touches upon other important topics such as the use of modeling in homeland security and some review and new results on various modeling paradigms including network, stochastic and deterministic formulations together with the use of optimal control and related methods for evaluating control strategies.
Book Description
Give your brain a workout on the type of brainteasers that challenge the best solvers at the World Puzzle Championships. They're tough, but fun, and the feeling of satisfaction you get when you succeed is simply unbeatable. Some of the puzzles are oldies but goodies, like battleships--and its many variants--where you search for a fleet hidden within a grid. In "Eminent Domain," try to determine which blanks cells are owned by the numbered ones. For "Hex Loops," locate a path that travels through adjacent hexagons: the trick is, it has to end where it started, and the lines can't touch or cross. From Snaky Tiles to Spiral Galaxies, these Mensa-level conundrums will get your mind in shape.
Customer Reviews:
A great workout!.......2007-08-14
A great book for those of you who are preparing for a puzzle competition and are looking for an exercise book (as I was when I bought this one). Despite it is only 96 pages, it has a great variety of puzzles, mostly contest types.
There are around 10 to 20 puzzles of each type, and these are:
- Alternate corners
- Battleships (classic, crowded, hexagonal, minesweeper, numerical, ocean view, semicircular)
- Corral
- Deja Vu
- Dominoes (domino hunt)
- Eminent domain
- End View (like ABCD)
- Fences (including big field fences and pentomino fences)
- Hex Loops
- Lighthouses
- Minesweeper
- Number place
- Nurikabe
- Oxtails
- Clouds
- Skyscrapers (only the 'number of buildings' type)
- Snaky tiles
- Spiral galaxies
- Spokes
- Square Roots
- Tents
The level of difficulty is pretty good, at least for the puzzles I tried.
The only drawback is that most of the puzzles are too small, especially the Fences. I've seen books where the puzzles on the answer pages are bigger than these ones. It's not like they are so small that makes it impossible to work them out, but still pretty small. What I'm doing on other books and will on that one too is to scan the puzzles, cut the white spaces and print them back again on larger sheets. This way you are not ruining your book when drawing and erasing and you can print (and solve) certain pages as many times as you like.
Highly recommended.
Best Puzzle Book I've Ever Worked!.......2007-02-10
If you love puzzles, this book is a **must have**! This is hands down the best puzzle book I have ever worked. There is a wide variety of puzzles and they are all unique, not your standard logic problems. Prepare to be challenged, these puzzles are definitely for the puzzle solver at heart! What a great mental workout!
Book Description
Research in statistics education is an emerging field, with much of the work being published in diverse journals across many disciplines. Locating and synthesizing this research is often a challenging task, as is connecting the research literature to practical issues of teaching and assessing students. This book is unique in that it collects, presents, and synthesizes cutting edge research on different aspects of statistical reasoning and applies this research to the teaching of statistics to students at all educational levels. Unlike other books on how to teach statistics, or educational materials to help students learn statistics, this book presents the research foundation on which teaching should be based. The chapters in this volume are written by the today's leading researchers in statistics education.
This volume will prove of great value to mathematics and statistics education researchers, statistics educators, statisticians, cognitive psychologists, mathematics teachers, mathematics and statistics curriculum developers, and quantitative literacy experts in education and government.
Book Description
The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. More than eighty countries are involved. Containing numerous exercises, illustrations, hints and solutions, presented in a lucid and thought-provoking style, this text provides a wide range of skills required in competitions such as the Mathematical Olympiad. More than fifty problems in Euclidean geometry involving integers and rational numbers are presented. Early chapters cover elementary problems while later sections break new ground in certain areas and are a greater challenge for the more adventurous reader. The text is ideal for Mathematical Olympiad training and also serves as a supplementary text for students in pure mathematics, particularly number theory and geometry. Dr Christopher Bradley was formerly a Fellow and Tutor in Mathematics at Jesus College, Oxford, Deputy Leader of the British Mathematical Olympiad Team and for several years Secretary of the British Mathematical Olympiad Committee.
Book Description
Take a deep breath and prepare to be challenged. This brainteasing book is designed for you to assess your programming savvy through short, fun, and puzzling SAS programming problems. No hardware required! Test your knowledge of arrays; DATA step flow; DO loops; FREQ, MEANS, and SUMMARY procedures; MERGE, OUTPUT, RETAIN, SET, SUM, and WHERE statements; merging data sets; and reading raw data. The pace is yours; every few pages introduce a new problem and solution. To add excitement to the more advanced problems, the author has included the suggested time to beat. Good luck and have fun!
Customer Reviews:
Enjoyable for what it is, a little dated.......2007-04-26
For intermediate to advanced SAS programmers, this is a fun book to push your boundaries a little and try and figure out exactly what SAS is doing. This is definitely far above and beyond the "Little SAS Book" understanding of things, because the problems have a lot more to do with the "how" than the "what".
As the other review indicates, you have to enjoy solving brain-teasers for this to be remotely interesting. Aside from that, the only real problem I had with the text was the somewhat dated coverage in the material. Options and changes that were made in either version 8 or 9 are not here, making some problems a lot easier than the solution implies. I remember one problem using the COMPRESS function now has a single statement solution (instead of what the author provides) because of more recent changes to the COMPRESS function. A few answers are just wrong (using variables lengths, e.g.) in more recent versions of SAS.
Overall, I had a lot of fun with this book and picked up a number of useful programming techniques along the way.
3 1/2 Only If You Like Brain Teasers.......2005-03-31
If you enjoy solving "brain teasers," or bragging that you solved them, then this is the book for you. Robert Virgile compiled 20 intermediate SAS programming problems and 50 advanced ones that are short and deceptively simple. However, they are really geared towards those with advanced knowledge and experience, intermediate level users will get only a few right, and beginners shouldn't even tackle this. (An advanced user will have a thorough command of the intricacies of SAS Language.)
Here's problem number 2, "First Obs Impressions" (Virgile relieves some of the pain through his generally clever problem titles):
"If [data set] OLD contains 100 observations, which of these gets printed?
OPTIONS FIRSTOBS=5 OBS=20;
PROC SORT DATA=OLD OUT=NEW;
BY ID;
PROC PRINT DATA=NEW;
As with most of the examples, the problem is on one page, and the next page repeats the problem and the solution. A problem that Virgile has is that he assumes too much knowledge on the part of the reader, and his solutions are often too concise and not written clearly.
The answer, in case you're interested, is 12 observations. Hint: "out of observations 5 through 20 from OLD, those with the 12 highest values for ID." But, will you be interested? There are easier ways to limit observations, but Virgile focuses on the tricky, not the practical. Additionally, while one does learn about the FIRSTOBS= and OBS= options here, the problem and the concepts are poorly indexed in the book.
Here's one more problem, from "Part 2, 50 Tougher Problems."
Virgile write four programs with two lines, and asks you to replace each two-line program with a single line. This is one of the four examples:
IF AGE > 21 THEN DRINKER =1;
ELSE DRINKER = 2;
There are many solution possible for this example, this is one of them: "(AGE >21) =2 * (AGE
<=21);." Hint from book: "Take advantage of the fact that the SAS System replaces true comparisons with 1 and false comparisons with 0."
Solving the problem may indirectly improve your understanding of SAS logic and language. It may, at some time, even come in handy. Notice again, however, that the main point of this puzzle is to solve it, not to reduce CPU time, keystrokes, or to generally make you a better programmer. The book has challenging problems, some of which can be instructive, but it is poorly organized and not intended to efficiently or systematically improve your SAS programming. Recommended only for advanced SAS users who enjoy "brain teaser" problems within a SAS context.
Average customer rating:
- Absolutely horrible book; look elsewhere for Hilbert
- all you want to know about hilbert and his problems
- An excellent history of Hilbert and his problems
|
The Hilbert Challenge
Jeremy J. Gray
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover
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ASIN: 0198506511 |
Book Description
David Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he brought to the setting of his famous 23 Problems. Few problems in mathematics have the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving individual ones such as Fermat's last theorem, and several remain unsolved including the Riemann hypotheses, which has eluded all the great minds of this century. A hundred years on, it is timely to take a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating new book, Jeremy Gray and David Rowe consider what has made this the pre-eminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics. The book is written in a clear and lively manner and will appeal both to the general reader with an interest in mathematics and to mathematicians themselves.
Customer Reviews:
Absolutely horrible book; look elsewhere for Hilbert.......2005-05-12
In brief, I do not recommend this book to anyone.
The book has three main problems that make it unenjoyable and quite tedious to get through.
The first problem is that the mathematical problems are not sufficiently well explained. In some cases, the problem and it's math are not explained in sufficient depth. In other cases, the problem is not clearly explained and comprehensible. In yet other cases, the problem's application or usefulness is not explained well. Finally, some math is explained so cursorily that it might as well not even have been discussed.
The second problem is that the layout of the book made very little logical sense. First, the author split the problems into various groups. Then, the author split the timeline into various sections: Pre-1900, 1900-1918, 1918-1945 and 1945-1999. He then proceeded to discuss some of the problems in each of the timelines. At each step, you've lost the entire train of thought from the previous section, and it becomes hard to understand what, if any, logical flow or consistency there was in the development of the work on Hilbert's problems or anything that lead from it.
The third and most serious issue against the book is that the author briefly introduces the "23" Hilbert problems and then subsequently expects the reader to understand what "Problem 10" is every time he refers to it, and exactly how it relates to all the other problems. There are quite a few sentences which refer to several problems by number and unless the reader is constantly referring back to the brief summary of all the problems, the sentence might as well have been in martian. After a few dozen pages of playing this "refer to the problem list" game, I became so frustrated that I just gave up and read the book.
Some minor problems include the fact that only 223 pages of the book are by the author; the rest is a translation of Hilbert's 1900 talk. (That is, less than 75% of the book is what the book is supposed to be about.) Another problem for me is that the paper is high gloss. It looks very nice at a glance, but when you try to read it, you are often faced with glare unless you orient the book perfectly with respect to the light source(s) - a problem I ordinarily face only with magazines.
Another minor problem, which may be interpreted as a positive thing by many (and I welcome that interpretation), is that the author spends a fair bit of time discussing social, governmental political and educational political aspects of countries, universities, and mathematicians. Except in a few minor cases, these things seem highly tangential to the work at hand, and although somewhat entertaining, distract from the intent of the book.
All in all, I found myself about half way through finishing it just so I could put it down and start another book, and preferably one completely unrelated to the topic. The author made such a hash of the subject that, despite finding several other interesting books on Hilbert and his problems here on Amazon, I have no interest whatsoever in reading them and actually finding out about things.
all you want to know about hilbert and his problems.......2001-09-22
When I first heard of the hilbert problems, and how important they seemd to be for all of maths that evolved after that, since 1900 until present, I wanted to know more. This book is a very pleasant read for several reasons:
It is easy to read and well explained, even if you don't grasp the full maths, still there is a story around every of the 23 problems that lets you understand the implication, and the full drama of its solution.
It is a nice biography of Hilbert 'the man', intertwined with the 23 problems, so it does not get boring like some biographies do with endless lists of calendar-facts.
There is even a full translation of the original speech he gave in Paris in 1900, which otherwise would be impossible to find.
The problems itself are well explained, as well in the timeframe of 1900, when first posed, as later in our time when maths was ready to solve them. The author did a good job also telling which of the problems really were important, really gave mahts further problems to think about, and which problems didnt give rise to new mathematical areas, and therefore became more or less curiosities after solution.
Reading this book gave me a feeling of how beautiful maths can be, how unexpectedly some problems can and cannot be solved, and evokes some of the drama of the worlds biggest minds at work.
If you are interested in maths and/oir in science and great minds: this is an excellent read!
An excellent history of Hilbert and his problems.......2001-04-10
At the turn of the last century, David Hilbert posed 23 problems that he considered to be the most critical ones to be solved in the 20th century. Certainly the best mathematician of his time, the challenge that he put forward has served as a benchmark for progress in mathematics over the last 100 years. This book is a retrospective of what has been done on those problems, a biography of Hilbert and a history of his times. In choosing the problems, he selected only those that he felt would lead to significant mathematics. For example, the recently resolved Fermat's Last Theorem was not on the list.
While many of the problems have been solved, it is a tribute to Hilbert that some are still unsolved and there appears to be no hope that they will be resolved soon. A few of the problems were solved relatively quickly, but most succumbed only after decades of intensive work. All of the problems that he put forward are explained in great detail, and if they were solved, the manner of solution demonstrated. Since these problems are hard, it is not possible to thoroughly describe them without resorting to some advanced mathematics. However, that is kept to a minimum, so it is possible for someone without detailed knowledge to understand most of the explanations.
The German universities were very powerful centers of mathematical progress during Hilbert's lifetime and the story about the interaction of the personalities and the split between pure and applied mathematics makes very interesting reading. Mathematics is in many ways just another human endeavor, subject to petty spats, nationalistic rivalries and personal biases. The saddest part of the book is the description of what happened to the once proud university system when the Nazi party rose to power. An incredible amount of talent was hounded away, which was fortunate for them as most of those who remained and had an incorrect heritage were killed. Hilbert was a firm believer in the value of applied mathematics, so he no doubt would have been frustrated over the split between the pure and applied camps that occurred after the end of the second world war. Given that he was so much of both, I wonder what tone his voice would have had.
Hilbert was an intellectual giant who is known most for his set of famous problems rather than his impressive work on resolving problems. While the emphasis is on the famous 23 problems, enough effort is expended on what else he did to make the book as much a biography of Hilbert as it is on the problems he posed. That alone would make it well worth reading.
Published in Journal of Recreational Mathematics, reprinted with permission.
Average customer rating:
|
The Assessment Challenge in Statistics Education,
Manufacturer: IOS Press
ProductGroup: Book
Binding: Hardcover
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ASIN: 9051993331 |
Book Description
This prospective book discusses conceptual and pragmatic issues in the assessment of statistical knowledge and reasoning skills among students at the college and precollege levels, and the use of assessments to improve instruction. It is designed primarily for academic audiences involved in teaching statistics and mathematics, and in teacher education and training. The book is divided in four sections: (I) Assessment goals and frameworks, (2) Assessing conceptual understanding of statistical ideas, (3) Innovative models for classroom assessments, and (4) Assessing understanding of probability. Both editors are involved in assessment issues in statistics. The book is written by leading researchers, statistics math educators and curriculum developers.
Book Description
The authors, members of teams that solved all 10 problems, show in detail multiple approaches for solving each problem, ranging from elementary to sophisticated, from brute-force to schemes that can be scaled to provide thousands of digits of accuracy and that can solve even larger related problems. The authors touch on virtually every major technique of modern numerical analysis: matrix computation, iterative linear methods, limit extrapolation and convergence acceleration, numerical quadrature, contour integration, discretization of PDEs, global optimization, Monte Carlo and evolutionary algorithms, error control, interval and high-precision arithmetic, and many more. The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing gives concrete examples of how to justify the validity of every single digit of a numerical answer. Methods range from carefully designed computer experiments to a posteriori error estimates and computer-assisted proofs based on interval arithmetic.
Customer Reviews:
Clever techniques in a concrete context.......2004-08-29
The book is ogranized by problem, not technique, and so the motivation is apparent before the theory is introduced. Some of the solutions are so clever they seem almost magical.
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- Multivariate Data Analysis (6th Edition)
- Network Analysis, Architecture and Design, Second Edition (The Morgan Kaufmann Series in Networking)
- Never Eat Alone: And Other Secrets to Success, One Relationship at a Time
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The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics
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The IMO Compendium: A Collection of Problems Suggested for the International Mathematical ... (Problem Books in Mathematics)
Geometer's Sketchpad - Student Ed.: Dynamic Geometry Software of Exploring Mathematics
Trigonometry
