Advanced Mathematical Methods For Scientists And Engineers Bender Pdf

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Top reviews from Canada

Reviewed in Canada on February 20, 2020

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An excellent book. I particularly liked the derivation of the Sterling series. Many books on the subject just show you how to get the first term (there are several ways) and leave the rest to you to figure out. The authors instead thoroughly expand on how to find each term. Much appreciated.

Reviewed in Canada on February 22, 2018

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Excellent complement to Carl Bender's Lectures on Mathematical Physics. Cheap binding by Springer.

Reviewed in Canada on August 25, 2000

I learned more mathematics from Bender & Orszag than from any other math book I own. I'm an applied physicist, and as any physicist knows, a sleazy approximation that provides good physical insight into what's going on in some system is far more useful than an unintelligible exact result.
This book covers approximate methods for solving differential and difference equations, asymptotic methods for integrals, and asymptotic and extrapolation methods for sums. There are a great many beautiful plots, and lots of discussion of the actual lore of doing--alternative ways of attacking the same problem, things to watch out for, what sorts of problems a given method is best at.
I think the most valuable parts of this book are the examples and problems, both of which are the best anywhere.
It's really great to see this old friend (first published in 1978) back in print. If you have ugly differential equations or integrals to solve, buy it!

Reviewed in Canada on May 10, 2002

Very useful, in contrast with the cookbooks on 'mathematical physics' otherwise available. Systematic, with good examples and workable but challenging homework problems (I used this book for years while teaching advanced 'math methods in physics')Where else do you learn about Fuch's theorem? Good, systematic approach to asmptotic expansions, especially evaluation of integrals. Provided examples of deterministic chaotic systems before that subject was in vogue. Best description (as motion in phase space) of torque-free rigid body in free fall. Also good on boundary layer theory. Excellent text!

Reviewed in Canada on September 27, 2001

I have the fortune of having Professor Bender teach the content of this book to me. His dynamic lecturing style, sense of humor, and astounding cleverness are all visible through the text of this book.
If you can't get to Washington University to take a class with him, at least buy the book. His writing style and frequent examples make the most elusive and suble concepts quite clear. I can't wait for his and Orzag's second book to be released!

Top reviews from other countries

5.0 out of 5 stars This is the best book I have ever received on the subject of ...

Reviewed in the United Kingdom on November 19, 2016

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This is the best book I have ever received on the subject of asymptotic analysis and perturbation theory. It explains key concepts of the theory concisely and there are numerous examples in every chapter of the book to facilitate your in depth understanding. I would highly recommend this book.

5.0 out of 5 stars Five Stars

Reviewed in the United Kingdom on March 27, 2017

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Very pleased. Many thanks for the excellent service.

5.0 out of 5 stars For those who want to know more

Reviewed in the United Kingdom on December 25, 2012

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A fantastic text that uncovers many hidden aspects of the equations of mathematical physics. Non-standard (but very powerful) techniques are addressed. After studying this text, the reader's vision/interpretation of ordinary differential equations will never be same again.

5.0 out of 5 stars Matematica fisica affascinante! Non lo sapevo.

Reviewed in Italy on October 27, 2019

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Evito il mio bla bla. Ho deciso di prendere il libro dopo aver visto alcune delle 15 lezioni del Prof. Carl Bender. Vedi su YouTube: Mathematical Physics 01 - Carl Bender .. Mathematical Physics 15 - Carl Bender.

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3.0 out of 5 stars Advanced Mathematical Methods for Scientists and Engineers

Reviewed in France on September 17, 2013

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Un très bon livre pour commencer à apprendre les méthodes d'asymptotique, il vieillit très bien! Je l'utilise en thèse de Mathématiques appliquées pour compléter quelques notions peu vues en France.