Bibliographic Information

Integral equations

Harry Hochstadt

(Pure and applied mathematics)

Wiley, c1973

  • : hbk
  • : pbk.

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Note

"A Wiley-Interscience publication."

Bibliography: p. 279-280

Description and Table of Contents

Volume

: hbk ISBN 9780471401650

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.
Volume

: pbk. ISBN 9780471504047

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.

Table of Contents

Partial table of contents: BASIC EXISTENCE THEOREMS. Fixed Point Theorems. Volterra Equations. Kernels with Weak Singularities. INTEGRAL EQUATIONS WITH L2 KERNELS. Compact Operators. Positive Operators. Approximation of Eigenvalues. Fredholm Equations with Self-Adjoint Compact Operators. APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS. FOURIER TRANSFORMS. Laplace Transforms. Hankel Transforms. Mellin Transforms. The Weiner-Hopf Technique I. The Weiner-Hopf Technique II. THE FREDHOLM THEORY. NONLINEAR INTEGRAL EQUATIONS. The Schauder Fixed Point Theorem. Index.

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Details

  • NCID
    BA03790038
  • ISBN
    • 047140165X
    • 0471504041
  • LCCN
    73004230
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    viii, 282 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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