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Numerical Methods for Physics (2nd Edition), by Alejandro Garcia
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This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics —including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations—e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background.
- Sales Rank: #1074358 in Books
- Brand: Garcia, Alejandro L.
- Published on: 1999-07-29
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x 1.00" w x 6.80" l, 1.61 pounds
- Binding: Hardcover
- 423 pages
From the Publisher
This text covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics -- including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Based on MATLAB, Fortran references included.
From the Back Cover
Garcia, Alejandro, Numerical Methods for Physics, Second Edition This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics —including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations—e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background.
About the Author
Garcia is a professor of history at the University of Havana.
Most helpful customer reviews
6 of 6 people found the following review helpful.
Good for novices
By Bruce Nourish
This book is an outstanding introduction to practical numerical methods for (budding) physicists who have no experience with these vital tools. The author states the book is aimed at undergraduate seniors or first-year graduates. This seems pessimistic to me: I think any competent undergraduate who has taken a course in ordinary differential equations could hack it.
The book ignores the usual approach taken by numerical analysis texts, which is to build up from the fundamental ideas (e.g., finite precision arithmetic, error propagation, fixed point iteration, finite difference approximation to the derivative), instead jumping almost immediately into a projectile motion ODE problem. This allows the author to move on quickly to adaptive Runge-Kutta in Chapter 3, Fast Fourier Transforms in Chapter 5, PDEs in Chapter 6 and finish with a discussion of Monte Carlo methods; whereas more traditional books will only begin to cover PDEs near the end and usually do not discuss FFTs or Monte Carlo.
Of course, this comes at a price. I took a senior level course taught in the traditional manner described above, and happened to pick up a copy of this book in the middle of the semester. This book has far more physical insight than my assigned text, and leaves the student able to appoach a far greater set of practical problems, but I think those who are serious about computational work should cover the basics more thoroughly. One outstanding feature of the book is the end of chapter projects that unify and apply what has been learned, and offer a chance for better students to stretch their muscles.
On the other side, what the author says in the preface bears repeating here: the methods in described in this book are (almost all) foundational, and nowhere near the state of the art. This is particularly true of the relaxational methods for PDEs described in Chapter 8. Nor do I think this would make a very useful reference book: anyone experienced enough to be able to read and understand (say) Numerical Recipes will not learn much from this book. Also, for a modestly-sized paperback with only black-and-white printing, it is amazingly expensive.
5 of 6 people found the following review helpful.
A very useful book with alot of useful code
By Graham M. Flower
I have attended Professor Garcia's first year grad class in computational physics and it was very good. Professor Garcia is a very clear lecturer and I think this comes through in his book. The book breaks down the problem of numerical methods to very simple bite size chunks and provides a very interesting way to learn numerical methods by immediately applying it to interesting real world problems. this book allows you to feel like you are learning and applying numerical methods almost
immediately. There are entire programs listed in the book and in an accompanying disk which can be used in the solution of the problems. One simply edits and adds to these programs to solve most of the problems. Afterwards you have a good collection of generic code which can be put together to solve other problems. The book includes the code in C++ and Matlab. (older edition had fortran and matlab) Professor Garcia is a person who works in the area of computational fluid dynamics and statistical mechanics, both very computational areas, hence he is well qualified to write this text. There are a good number of problems and answers to a number of these, so the book is also useful for self study. Try it you'll like it.
0 of 0 people found the following review helpful.
An excellent introductory text
By C. C. Chapman
I cannot recommend this book highly enough for physics or engineering students undertaking a first course in numerical methods. The presentation is clear, comprehensive and illustrated with copious examples. The material covered includes most of that a theoretical/computational physicist should be familiar with. The mathematics required is not particularly taxing. If you've got a good understanding of ODEs and a basic understanding of PDEs, then this book should be accessible.
However, it should be noted who this book is NOT for. This book is not for those seeking a deeper understanding of numerical methods. For that, you're much better off reaching for a mathematics text (such as Shampine/Gordon). This book is also not for practicing scientists or engineers who require more advanced or computationally efficient methods. This book is meant as an introduction, and the author sticks to that rigorously. That said, after mastering the material in this book, there should be nothing preventing you from moving on to more advanced methods and difficult problems.
If you are looking for an introductory text though, you'd be hard pressed to top this one.
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