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Principles of applied mathematics : transformation and approximation / James P. Keener.

By: Material type: TextTextSeries: Advanced book programPublication details: Cambridge : Perseus Books, ©2000.Edition: rev. edDescription: xix, 603 p. : ill. ; 25 cmISBN:
  • 9780738201290
Subject(s): DDC classification:
  • 515.723 23 K26
Contents:
1. Finite dimensional vector spaces -- 2. Function spaces -- 3. Integral equations -- 4. Differential operators -- 5. Calculus of variations -- 6. Complex variable theory -- 7. Transform and spectral theory -- 8. Partial differential equations -- 9. Inverse scattering transform -- 10. Asymptotic expansions -- 11. Regular perturbation theory -- 12. Singular perturbation theory.
Summary: Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics--spectral theory of operators and asymptotic analysis--are useful for solving a wide range of applied science problems. Topics such as asymptotic expansions, inverse scattering theory, and perturbation methods are combined in a unified way with classical theory of linear operators. Several new topics, including wavelength analysis, multigrid methods, and homogenization theory, are blended into this mix to amplify this theme.This book is ideal as a survey course for graduate students in applied mathematics and theoretically oriented engineering and science students.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.723 K26 (Browse shelf(Opens below)) Available 136946
Total holds: 0

Includes bibliographical references and index.

1. Finite dimensional vector spaces --
2. Function spaces --
3. Integral equations --
4. Differential operators --
5. Calculus of variations --
6. Complex variable theory --
7. Transform and spectral theory --
8. Partial differential equations --
9. Inverse scattering transform --
10. Asymptotic expansions --
11. Regular perturbation theory --
12. Singular perturbation theory.

Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics--spectral theory of operators and asymptotic analysis--are useful for solving a wide range of applied science problems. Topics such as asymptotic expansions, inverse scattering theory, and perturbation methods are combined in a unified way with classical theory of linear operators. Several new topics, including wavelength analysis, multigrid methods, and homogenization theory, are blended into this mix to amplify this theme.This book is ideal as a survey course for graduate students in applied mathematics and theoretically oriented engineering and science students.

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