H. Hochstadt - Integral Equations

标签: 科学工程

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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.

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"This is a text for a year course in integral equations. It attempts a compromise between the classical and the abstract approaches and, in the reviewer’s opinion, accomplishes this quite well. Hilbert space techniques are used whenever possible, and the required background is developed as the material unfolds. There is enough of the function analytic treatment to make it useful for the student, but not so much as to overwhelm one whose background is limited to finite-dimensional vector spaces... "

Michael Yanowitch, Adelphi University

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The actual edition posted is from 1973...

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