Green's Functions and Boundary Value Problems, 2nd Edition [Hardcover]

Ivar Stakgold (Author)

Book Description

Publication Date: December 24, 1997 | ISBN-10: 0471610224 | ISBN-13: 978-0471610229 | Edition: 2

This revised and updated Second Edition of Green's Functions and Boundary Value Problems maintains a careful balance between sound mathematics and meaningful applications. Central to the text is a down-to-earth approach that shows the reader how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics.

Ivar Stakgold incorporates developments that have altered the field of applied mathematics in recent decades--particularly in areas of modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods. This modernized text, however, retains the many features that made its predecessor one of the most successful graduate-level texts of its kind, including:
* A unique blend of topics
* A balanced discussion of theory and applications
* 44 illustrations and numerous practical examples that supplement the text
* Chapter introductions and clear explanations of basic concepts
* Plentiful exercises, many of which are new to this edition


Green's Functions and Boundary Value Problems is an ideal text for a modern course in applied mathematics designed for students in the physical sciences, engineering, and mathematics. It is also an excellent reference for practicing professionals in these areas.

Editorial Reviews

Review

 

--This text refers to an alternate Hardcover edition.

From the Publisher

A Systematic analysis of boundary value problems and the principal methods used for their solution, including those based on Green's functions and eigenfunction expansions. Provides necessary background in functional analysis through the study of distributions, Hilbert spaces, integral equations, and spectral theory. Reviews of metric spaces and contraction mappings, spectral theory, transforms, and partial differential equations progress to a treatment of nonlinear problems, including bifurcation and monotone methods. Special sections provide careful derivations of equations in chemical reaction engineering; emphasis on dependence on the data overview of Green's function; a unified treatment of delta sequences; Riesz Schauder theory; and continuous spectrum. Also discusses modeling and approximation techniques such as perturbation theory and variational methods. Examples are chosen from a wide range of applications in engineering and physical sciences. --This text refers to an out of print or unavailable edition of this title.

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Product Details

• Hardcover: 720 pages
• Publisher: Wiley-Interscience; 2 edition (December 24, 1997)
• Language: English
• ISBN-10: 0471610224
• ISBN-13: 978-0471610229
• Product Dimensions: 9.4 x 6.4 x 1.8 inches
• Shipping Weight: 2.4 pounds (View shipping rates and policies)
• Average Customer Review: 3.3 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #1,756,690 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

17 of 20 people found the following review helpful:

4.0 out of 5 stars Systematic, not a 'cookbook', May 10, 2002

By 

Professor Joseph L. McCauley "Joseph L. McCauley" (Austria+Texas) - See all my reviews

This review is from: Green's Functions and Boundary Value Problems, 2nd Edition (Hardcover)

Actually, I preferred the first (2 volume) edition of this work and used the first volume along with Whittaker and Watson to teach first semester math methods to physics and engineering students. This book provides the most readable, systematic approach to boundary-value problems, based on Weyl's lemma. Not to be compared with the usual cookbooks on math methods because it shows you how to construct nonstandard orthogonal expansions, not merely the usual Fourier, Bessel and Legendre variety. Also very good on Dirac's delta funaction. For second semester, for years I also used Bender and Orszag.

G is called 'the Green function' and not 'the Green's function' (one does not say 'the Bessel's function').

10 of 12 people found the following review helpful:

5.0 out of 5 stars This is one of the best books on applicable PDE's, February 25, 1997

By A Customer

This review is from: Green's Functions and Boundary Value Problems (Pure and Applied Mathematics) (Hardcover)

This is a classic text. The authors not only knows much more than is in the book but also has a clear idea about the applied side of math.
A close competitor is Sobolev's book on PDE's.

1 of 6 people found the following review helpful:

1.0 out of 5 stars Worst Textbook EVER, November 10, 2009

By 

PhD Student (USA) - See all my reviews

This review is from: Green's Functions and Boundary Value Problems, 2nd Edition (Hardcover)

This is by far the worst textbook I've ever been forced to use for a class. The author provides virtually no example problems with clearly demonstrated solutions, repeatedly skips large portions of derivations and proofs, and introduces new concepts in the problem sets for each chapter with little or no explanation. He makes sure to include comments like "clearly, ..." after jumping 14 steps in a derivation or proof just so you know he's so much smarter than you. I'm going to burn it at the end of the semester.