Handbook of Integral Equations: Second Edition (Handbooks of Mathematical Equations) [Hardcover]

Andrei D. Polyanin (Author), Alexander V. Manzhirov (Author)

Book Description

Publication Date: February 12, 2008 | ISBN-10: 1584885076 | ISBN-13: 978-1584885078 | Edition: 2

Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor.

New to the Second Edition

•          New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions

•          More than 400 new equations with exact solutions

•          New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs

•          Additional examples for illustrative purposes

To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

Product Details

• Hardcover: 1144 pages
• Publisher: Chapman and Hall/CRC; 2 edition (February 12, 2008)
• Language: English
• ISBN-10: 1584885076
• ISBN-13: 978-1584885078
• Product Dimensions: 10 x 7.3 x 2.5 inches
• Shipping Weight: 4.6 pounds (View shipping rates and policies)
• Average Customer Review: 4.8 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #1,246,998 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

1 of 1 people found the following review helpful:

5.0 out of 5 stars It is a unique book!, May 15, 2010

By 

Inna Shingareva (Sonora, Mexico) - See all my reviews

This review is from: Handbook of Integral Equations: Second Edition (Handbooks of Mathematical Equations) (Hardcover)

This is an outstanding work, devoted to integral equations (linear and nonlinear), can be considered as a unique book: it contains a vast number of integral equations (>2500!!!) with corresponding analytical solutions (including new author's results) and a large collection of solving methods (analytical and numerical) appropriate for a given class of integral equations with illustrative examples.

1 of 1 people found the following review helpful:

5.0 out of 5 stars Book recommended for modelling research, April 27, 2010

By 

Themis Carageorgos - See all my reviews
(REAL NAME)   

This review is from: Handbook of Integral Equations: Second Edition (Handbooks of Mathematical Equations) (Hardcover)

I am a chemical and petroleum engineer modelling flow in porous media. This book was extremelly useful for me to formulate flow problems allowing for analytical solutions.
Sicerely
Dr Carageorgos

1 of 1 people found the following review helpful:

4.0 out of 5 stars Saved me a lot of time, March 29, 2008

By 

K. Khavari - See all my reviews
(REAL NAME)   

This review is from: Handbook of Integral Equations (Hardcover)

I'm not a mathematician nor do I have many mathematician friends, but working on queueing theory during my master degree I started dealing with a bunch of integral equations. This book saved me weeks of looking around and reading to find the solution to Integral Equations that may or may not have a closed form solution.