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Methods of mathematical physics [Vol.1]

By: Contributor(s): Material type: TextTextLanguage: English Publication details: New Delhi Wiley 2004Description: xv, 560pISBN:
  • 9788126515776
Subject(s): DDC classification:
  • 517 C83mE
Summary: Table of Contents: Part I: The Algebra of Linear Transformations and Quadratic Forms Transformation to Principal Axes of Quadratic and Hermitian Forms Minimum-Maximum Property of Eigenvalues Part II: Series Expansion of Arbitrary Functions Orthogonal Systems of Functions Measure of Independence and Dimension Number Fourier Series Legendre Polynomials Part III: Linear Integral Equations The Expansion Theorem and Its Applications Neumann Series and the Reciprocal Kernel The Fredholm Formulas Part IV: The Calculus of Variations Direct Solutions The Euler Equations Part V: Vibration and Eigenvalue Problems Systems of a Finite Number of Degrees of Freedom The Vibrating String The Vibrating Membrane Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations Part VI: Application of The Calculus of Variations To Eigenvalue Problems Completeness and Expansion Theorems Nodes of Eigen functions Part VII: Special Functions Defined By Eigenvalue Problems Bessel Functions Asymptotic Expansions Additional Bibliography Index
List(s) this item appears in: New arrival July 24 to 30, 2023
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Holdings
Item type Current library Collection Call number Vol info Status Date due Barcode Item holds
Books Books PK Kelkar Library, IIT Kanpur General Stacks 517 C83mE v.1 (Browse shelf(Opens below)) v.1 Available GB2731
Total holds: 0

First English edition translated and revised from the German original.

Table of Contents:

Part I: The Algebra of Linear Transformations and Quadratic Forms

Transformation to Principal Axes of Quadratic and Hermitian Forms
Minimum-Maximum Property of Eigenvalues
Part II: Series Expansion of Arbitrary Functions
Orthogonal Systems of Functions
Measure of Independence and Dimension Number
Fourier Series
Legendre Polynomials
Part III: Linear Integral Equations
The Expansion Theorem and Its Applications
Neumann Series and the Reciprocal Kernel
The Fredholm Formulas
Part IV: The Calculus of Variations
Direct Solutions
The Euler Equations
Part V: Vibration and Eigenvalue Problems
Systems of a Finite Number of Degrees of Freedom
The Vibrating String
The Vibrating Membrane
Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations
Part VI: Application of The Calculus of Variations To Eigenvalue Problems
Completeness and Expansion Theorems
Nodes of Eigen functions
Part VII: Special Functions Defined By Eigenvalue Problems
Bessel Functions
Asymptotic Expansions
Additional Bibliography
Index

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