Integral Equations (Pure & Applied Mathematics Monograph)

Integral Equations (Pure & Applied Mathematics Monograph)
By: Harry Hochstadt
ISBN: 047140165X
Publisher: John Wiley & Sons Inc - 1973-04
Hardcover | 292 Pages | List Price: $52.95 (USD) | Sales Rank: 2380371

Book Description
This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.

Amazon Review
The theory of Integral Equations (IE) is exposed in the framework of Hilbert spaces. The book is mainly oriented towards the theory of compact integral operators, partial differential operators and boundary value problems. It provides a complete treatment of numerous transform techniques (Fourier, Laplace, Mellin, Hankel, Hilbert). The classical Fredholm theory makes the object of a full chapter. The last chapter deals with the nonlinear IE. The book is written is a very nice way, very simple. Numerous examples and exercises are provided. Each chapter begins with an overview of the goals and of the results, which is really nice!
This book is intended to be simple, dedicated to students. It provides a good introduction to the world of IE (see also Jerry, Introduction to IE with applications). Applications of the IE are to be found in other, more specialized books.

Amazon Categories
Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
Subjects > Science > Mathematics > Mathematical Analysis
Subjects > Science > Mathematics > Pure Mathematics > Calculus
Calculus
Integral equations
Mathematics
Calculus & mathematical analysis



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