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

By: Keener, James PMaterial type: TextTextSeries: Advanced book programPublication details: Cambridge, Mass. : Perseus Books, c2000Edition: Updated and rev. edDescription: 603 p. : ill. ; 25 cmISBN: 0738201294 (hbk)Subject(s): Transformations (Mathematics) | Asymptotic expansionsDDC classification: 511.3
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 the 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.
List(s) this item appears in: Books Donated By Prof Ashfaq Bukhari(2021)
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Book (Reserve for faculty only) Namal Library
Mathematics 		511.3 KEE-P 2000 11995 (Browse shelf (Opens below)) Available 0011995
Total holds: 0

Includes bibliographical references (p. 559-566) 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 the 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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