• List Price: $99.00
  • Save: $54.30 (55%)
Rented from RentU
To Rent, select Shipping State from options above
Due Date: Dec 20, 2014
FREE return shipping at the end of the semester. Access codes and supplements are not guaranteed with rentals.
Used: Good | Details
Sold by apex_media
Condition: Used: Good
Comment: Ships direct from Amazon! Qualifies for Prime Shipping and FREE standard shipping for orders over $25. Overnight and 2 day shipping available!
Access codes and supplements are not guaranteed with used items.
Add to Cart
Qty:1
  • List Price: $99.00
  • Save: $34.50 (35%)
Only 14 left in stock (more on the way).
Ships from and sold by Amazon.com.
Gift-wrap available.
Add to Cart
Trade in your item
Get a $24.98
Gift Card.
Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See all 2 images

Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1) Hardcover – December 1, 1999

ISBN-13: 978-0387989310 ISBN-10: 0387989315 Edition: 1999th

Buy New
Price: $64.50
Rent
Price: $44.70
32 New from $63.00 26 Used from $47.77
Rent from Amazon Price New from Used from
Hardcover
"Please retry"
$44.70
$64.50
$63.00 $47.77
Paperback
"Please retry"
$208.87

Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student



Frequently Bought Together

Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1) + Mathematical Methods for Physics and Engineering: A Comprehensive Guide
Price for both: $152.45

Buy the selected items together

NO_CONTENT_IN_FEATURE

China
Engineering & Transportation Books
Discover books for all types of engineers, auto enthusiasts, and much more. Learn more

Product Details

  • Hardcover: 593 pages
  • Publisher: Springer; 1999 edition (December 1, 1999)
  • Language: English
  • ISBN-10: 0387989315
  • ISBN-13: 978-0387989310
  • Product Dimensions: 1.3 x 6.3 x 9.4 inches
  • Shipping Weight: 2.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (22 customer reviews)
  • Amazon Best Sellers Rank: #393,814 in Books (See Top 100 in Books)

Editorial Reviews

Review

"This book is a reprint of the original published by McGraw-Hill \ref [MR0538168 (80d:00030)]. The only changes are the addition of the Roman numeral I to the title and the provision of a subtitle, "Asymptotic methods and perturbation theory". This latter improvement is much needed, as the original title suggested that this was a teaching book for undergraduate scientists and engineers. It is not, but is an excellent introduction to asymptotic and perturbation methods for master's degree students or beginning research students. Certain parts of it could be used for a course in asymptotics for final year undergraduates in applied mathematics or mathematical physics.

This is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approximate methods, were in advance of its time. I have owned a copy of the original for over twenty years, using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic."  (A.D. Wood, Mathematical Reviews) 


More About the Authors

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

4.7 out of 5 stars
5 star
18
4 star
3
3 star
0
2 star
0
1 star
1
See all 22 customer reviews
I used this book for a Graduate level course.
Manu
The book is very well written; its only weakness is that its graphics reflect the technology of the 1970s.
Glenn Ledder
This is one of those books that you can read for fun.
Praveen Narayanan

Most Helpful Customer Reviews

31 of 32 people found the following review helpful By Glenn Ledder on December 8, 2005
Format: Hardcover
I am a mathematics professor, and asymptotic methods is my area of expertise. Bender and Orszag was the standard text on this topic in the early 1980s, and it remains by far the most thorough book on the subject. I had two courses from it in graduate school and have taught from it 3 times now. I have never found a mistake. The book is very well written; its only weakness is that its graphics reflect the technology of the 1970s. Nevertheless, I am teaching from it again next year, because it is in a class by itself.

There is one thing that individual readers and faculty users should be aware of. Some of the exercises, including a few marked as "intermediate," are incredibly difficult. My instructor made the mistake of assigning exercises without working them first. I am careful not to assign any exercises until after I have worked them.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
32 of 37 people found the following review helpful By Philip Hobbs on August 25, 2000
Format: Hardcover
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!
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
10 of 10 people found the following review helpful By A Customer on November 30, 1996
Format: Hardcover
This is the best applied mathematics book I have ever read, bar none. It is primarily a text on asymptotic methods for integrals, sums, differential equations, and difference equations (recurrence relations). Major topics are Laplace's method, steepest descents, stationary phase, WKB theory, boundary layer theory, and regular and singular perturbation theory. The exposition shows an understanding of the needs and tastes of physicists and engineers far beyond the usual dry theorems. It is full of lore and insight, plus the best analytic and numerical examples extant. There are hundreds of good problems as well. If you need to use asymptotic methods in your work, or just want a good read in applied math, this is your book
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
5 of 5 people found the following review helpful By Praveen Narayanan on April 19, 2011
Format: Hardcover Verified Purchase
This is one of those books that you can read for fun. I'd rate it as my best book along with Carrier's ODE book. It says it's meant for advanced undergrads and grad students. Be that as it may, I could have read it in high school (mind you, its not trivial, but the material is so accessible to anyone with a basic knowledge of calculus that you can read it in high school). Also, the usefulness of it cannot be overstated. I owe my PhD to this book. Not having taken a formal asymptotics course, I had to read up perturbation theory to set up large activation asymptotics problems in combustion. The perturbation analysis was used in making sense of (sigh) hero simulations, and the degree of accuracy of these models was just remarkable.

Apart from the general high level of quality of examples and problems, the book almost literally talks to you. Beautiful phrases, such as 'executing several sleazy manoeuvres' and Holmes references are among those things that are perpetually endearing. Although I don't do any math anymore I still read this book a lot - on the BART train, or on a lazy Sunday afternoon. Very fun problems too. But best of all is that this book is genuinely useful to an idiot engineer. It exposes the power and beauty of perturbation theory in a way that you can look at a real problem and say 'Ah, it is simple'. I've spent many hours dreaming about things such as the interface between light and shadows, boundary layers (yes! the 'abrupt' transition from U_infty to 0 at the wall), why we need implicit formulations near the wall, and general considerations about stiff equations. This book is basically the vehicle that transports you there, and with minimum fuss.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
12 of 16 people found the following review helpful By Professor Joseph L. McCauley on May 10, 2002
Format: Hardcover
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!
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
4 of 5 people found the following review helpful By T.I. on May 15, 2008
Format: Hardcover
I used this book in grad school about 15 years ago and got it out again yesterday to learn more about sophisticated path deformations in the complex plane. This style of going through interesting examples, pointing out possible trouble and explaining the main ideas is perfect for physicists who need advanced math tools but hate typical math papers of the proof-lemma-proof-type.
It's not outdated, symbolic math software can do a lot, but often can't handle the full problem and you have to simplify by hand before starting the computer.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Customer Images

Most Recent Customer Reviews

Search