Advanced Mathematical Methods for Scientists and Engineers

4 avg rating
( 9 ratings by GoodReads )
 
9780070661738: Advanced Mathematical Methods for Scientists and Engineers

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

"synopsis" may belong to another edition of this title.

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) 

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Carl M. Bender
Published by McGraw-Hill, London (1981)
ISBN 10: 0070661731 ISBN 13: 9780070661738
Used Hardcover Quantity Available: 1
Seller
PsychoBabel & Skoob Books
(Didcot, OXON, United Kingdom)
Rating
[?]

Book Description McGraw-Hill, London, 1981. Hardcover. Book Condition: Good. Dust Jacket Condition: No Dust Jacket. Hardcover. No jacket. Stickers on rear board. Spine ends and leading corners are lightly bumped. Previous owner's name penned on FEP. Binding is intact, contents are clean and clear. AM. Used. Bookseller Inventory # 432617

More Information About This Seller | Ask Bookseller a Question

Buy Used
US$ 57.52
Convert Currency

Add to Basket

Shipping: US$ 6.27
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

Carl M. Bender
Published by McGraw-Hill Inc.,US (1981)
ISBN 10: 0070661731 ISBN 13: 9780070661738
Used Paperback Quantity Available: 1
Seller
Brit Books
(Milton Keynes, United Kingdom)
Rating
[?]

Book Description McGraw-Hill Inc.,US, 1981. Paperback. Book Condition: Used; Good. Bookseller Inventory # 1842663

More Information About This Seller | Ask Bookseller a Question

Buy Used
US$ 128.43
Convert Currency

Add to Basket

Shipping: US$ 3.71
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Carl M. Bender
Published by McGraw-Hill Inc.,US (1981)
ISBN 10: 0070661731 ISBN 13: 9780070661738
Used Paperback Quantity Available: 1
Seller
Books Express
(Portsmouth, NH, U.S.A.)
Rating
[?]

Book Description McGraw-Hill Inc.,US, 1981. Paperback. Book Condition: Used: Good. We ship International with Tracking Number! May not contain Access Codes or Supplements. Buy with confidence, excellent customer service! L. Bookseller Inventory # 0070661731D

More Information About This Seller | Ask Bookseller a Question

Buy Used
US$ 473.59
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds