Methods of mathematical physics [Vol.1]
By: Courant, Richard.
Contributor(s): Hilbert, David.
Material type:
BookPublisher: New Delhi Wiley 2004Description: xv, 560p.ISBN: 9788126515776.Subject(s): Mathematical physicsDDC 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
| Item type | Current location | Collection | Call number | Vol info | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|---|
Books
|
PK Kelkar Library, IIT Kanpur | General Stacks | 517 C83mE v.1 (Browse shelf) | v.1 | Available | GB2731 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
| 517 C83mE METHODS OF MATHEMATICAL PHYSICS | 517 C83mE METHODS OF MATHEMATICAL PHYSICS | 517 C83mE METHODS OF MATHEMATICAL PHYSICS | 517 C83mE v.1 Methods of mathematical physics [Vol.1] | 517 C83mE v.2 Methods of mathematical physics [Vol.2] | 517 C85e ENGINEERING ANALYSIS | 517 D791m MATHEMATICAL ANALYSIS |
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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