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Numerical analysis is a subject of extreme interest to mathematicians and computer scientists, who will welcome this first inexpensive paperback edition of a groundbreaking classic text on the subject. In an introductory chapter on numerical methods and their relevance to computing, well-known mathematician Richard Hamming ("the Hamming code," "the Hamming distance," and "Hamming window," etc.), suggests that the purpose of computing is insight, not merely numbers. In that connection he outlines five main ideas that aim at producing meaningful numbers that will be read and used, but will also lead to greater understanding of how the choice of a particular formula or algorithm influences not only the computing but our understanding of the results obtained. The five main ideas involve (1) insuring that in computing there is an intimate connection between the source of the problem and the usability of the answers (2) avoiding isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem (3) avoidance of roundoff (4) overcoming the problem of truncation error (5) insuring the stability of a feedback system. In this second edition, Professor Hamming (Naval Postgraduate School, Monterey, California) extensively rearranged, rewrote and enlarged the material. Moreover, this book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: I. Fundamentals and Algorithms II. Polynomial Approximation- Classical Theory Ill. Fourier Approximation- Modern Theory IV. Exponential Approximation ... and more Highly regarded by experts in the field, this is a book with unlimited applications for undergraduate and graduate students of mathematics, science and engineering. Professionals and researchers will find it a valuable reference they will turn to again and again. Review: One of the best - Numerical methods for scientists and engineers is a fantastic textbook. I've always been interested in numerical analysis. Numerical analysis to me is the perfect combination: it has both mathematics and programming. A good example of this idea is Numerical Recipes in C, where you have both algorithms and their implementation. That being said, this book delivers where Numerical Recipes misses. It provides insight and understanding and explains the algorithms, not in a cookbook fashion, rather in a linear progressive method. There's not a single piece of code yet the algorithms are clearly expressed. It provides a clear understanding of methods I've used but didn't truly understand. It adds by discussing topics that aren't usually discussed in regular Numerical analysis textbooks, such as universal matrices, Stirling numbers, and Bernoulli numbers, generating functions, Riemann zeta function, Hermite interpolation, Chebyshev approximation, Adams-Bashforth and Milne methods and much, much more. The book can be read by anyone with graduate level math background: calculus, linear algebra and ordinary differential equations. Previous knowledge of numerical analysis is not required, the first chapters cover the basics extremely well. Review: Great Book!!!! - Its easy to understand most of the methods included, the math theory or explanation is quite easy to understand in most cases as oppossed to "Numerical Analysis" by L. Burden which is extremely convoluted. However this last book I mentioned is also more complete which brings me to the only downside I noticed on this book, while some numerical methods are described with such elegance and simplicity, other methods are just mentiond and the author didnt provide examples to such methods, other methods are missing, some methods are not described in depth. There are no solutions to any of the excercises at the end of each method/chapter. That being said, overall I think this is the best numerical methods book Ive found so far. If you want a very complete book which include less common topics get Numerical Analysis by L. Burden, otherwise this book by R.W. Hamming is Just great!!!!!
| Best Sellers Rank | #1,046,815 in Books ( See Top 100 in Books ) #262 in Mathematical Analysis (Books) #1,616 in Mechanical Engineering (Books) #2,758 in Mathematics (Books) |
| Customer Reviews | 4.4 out of 5 stars 149 Reviews |
P**L
One of the best
Numerical methods for scientists and engineers is a fantastic textbook. I've always been interested in numerical analysis. Numerical analysis to me is the perfect combination: it has both mathematics and programming. A good example of this idea is Numerical Recipes in C, where you have both algorithms and their implementation. That being said, this book delivers where Numerical Recipes misses. It provides insight and understanding and explains the algorithms, not in a cookbook fashion, rather in a linear progressive method. There's not a single piece of code yet the algorithms are clearly expressed. It provides a clear understanding of methods I've used but didn't truly understand. It adds by discussing topics that aren't usually discussed in regular Numerical analysis textbooks, such as universal matrices, Stirling numbers, and Bernoulli numbers, generating functions, Riemann zeta function, Hermite interpolation, Chebyshev approximation, Adams-Bashforth and Milne methods and much, much more. The book can be read by anyone with graduate level math background: calculus, linear algebra and ordinary differential equations. Previous knowledge of numerical analysis is not required, the first chapters cover the basics extremely well.
M**H
Great Book!!!!
Its easy to understand most of the methods included, the math theory or explanation is quite easy to understand in most cases as oppossed to "Numerical Analysis" by L. Burden which is extremely convoluted. However this last book I mentioned is also more complete which brings me to the only downside I noticed on this book, while some numerical methods are described with such elegance and simplicity, other methods are just mentiond and the author didnt provide examples to such methods, other methods are missing, some methods are not described in depth. There are no solutions to any of the excercises at the end of each method/chapter. That being said, overall I think this is the best numerical methods book Ive found so far. If you want a very complete book which include less common topics get Numerical Analysis by L. Burden, otherwise this book by R.W. Hamming is Just great!!!!!
D**N
Economical Reference on Numerical Methods
The book is fairly pedestrian--there is nothing inside the book you won't find covered in other numerical analysis textbooks. Furthermore, the book is dated (1962) and the techniques are all 'classical'. The bulk of the text is devoted to polynomial approximation and Fourier approximation with a solid introduction to general numerical methods, algorithms, error analysis, etc. There are two distinguishing features for the book: 1. The paperback edition is quite economical. 2. The author is R.W. Hamming--inventor of the Hamming code, the Hamming window, etc.
A**R
Insight
Hamming writes "The purpose of computation is insight, not numbers". Laudable sentiments, but does the book succeed? I can tell you it does, from my personal experience. I had read it decades ago as a student, and over the years forgotten the book. A few years ago I gave a course on computation, where I tried hard not to use the usual books except as references for more details when needed. I thought I was developing a course structure which was somewhat away from the beaten track which runs next to the information highway, perhaps a little more useful for students who had a knack for numerical hacking. Then, just recently, while browsing on Amazon, I came across this book again and decided to read it, since I had forgotten what it contained. It stunned me: the course I thought I had developed was just this approach, filtered through my own interests. That is how good this book is. Read and understand this book, and it will shape your point of view for ever.
M**B
Insight into Numerical Analysis
I have been teaching numerical analysis for a long time now. I bought this book based on the author's name. I was not surprised to find out that my decision was totally correct. The book provides a clear and deep perception of basic concepts and techniques of numerical analysis that I hardly can find in texts on this subject matter.
L**H
An excellent reference for numerical analysis
A classic for numerical analysis. Covers both 'why' and 'how'. Would like to recommend this book to anyone interested in numerical analysis. Caution for absolute beginners: No computer code included. You will have to get familiar with certain language or mathematical software of your convenience (like FORTRAN, PASCAL, C, MATLAB, Mathematica, MathCAD,...) to implement the concepts described in this book.
I**S
A classic book.
It only covers some parts of modern numerical methods used in engineering and scientific areas. I personally think It is an out-of-date book. But it is still a good and classic book.
L**I
A very detailed explanation for numerical analysis. Context of ...
A very detailed explanation for numerical analysis. Context of this book is a bit old back to the 60s, nevertheless numerical theories are universally practical even in past, present and future. Lengthy fundamental explanation makes it a very resourceful reference.
P**M
MOST VALUABLE BOOK IN NM ..
Content, theory , examples and all best. FIVE SECTIONS OF THIS BOOK S1 FUNDAMENTALS AND ALGGRITHS. S2 PYNOMAIL APPROXIMATION. CLASSICAL S3 FOURIER APPROXIMATION MODERN S4 EXPONENTAIL APPROXIMATION S5 MISCELLANEOUS. BUY THIS BOOK . I RECEIVED VERY NEW LATEST PRINT ORIGINAL BOOK EXCELLENT SERVICE FROM SELLER UREAD STORE AND AMAZON THANKS...
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王道
いわゆる“ハミング窓”等で知られるハミングさんがこの本の著者です。 数値計算法の定番教科書と言えるでしょう。PDE等になるとこの本には出ていませんが、基本からやるならこの本です。大事なことがカバーされています。しかも驚きの低価格! 説明も分かりやすく、例えばRunge-Kutta法などは数式だけで見ると一瞬「ん?」と思ったりしますがこの本の記述を見るとイメージがサクッと湧いて意味が理解できたりします。おすすめです。
A**E
Ein Klassiker.
Gefallen hat mir alles, missfallen hat mir nuescht. Ich hatte das Buch einst in einer Bibliothek entdeckt und gelesen. Nun habe ich es in meiner Bibliothek und ein weiteres Mal gelesen. Ich habe *nichts* auszusetzen.
I**S
Almost second next to none
In case a thorough and clear cut explanation and understanding of the numerical methods needed to all of us, Physicist and Engineers, in order to easily transfer solutions of real life problems using ASM, C, C++ onto silicon, then this book is a must. Without hidding details and without filling pages with usually cryptic or rarelly used methods, this book is exactly what a software/firmware or other engineer or programmer would need in order to fearlessly start coding solutions. John Piliounis, Physicist, Athens, Greece
S**K
Sobre o livro "Numerical Methods for Scientists and Engineers"
O livro é muito bom em geral. A sua linguagem é excelente e a sequência da apresentação também é ótima. Não mantém o foco na resolução de problemas e tampouco na proposta dos problemas. Apenas há alguns exercícios para verificação ao final de cada tópico. O livro deve ser utilizado em conjunto com outro livro para uma disciplina de Cálculo Numérico e, para estudos iniciantes - essencialmente ao público brasileiro -, é fundamental ter um conhecimento prévio dos processos numéricos para estudá-lo.
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