Methods of mathematical physics . volume II , partial differential equations / by R. Courant.
By: Courant, Richard
.
Contributor(s): Hilbert, David.
Material type: 
BookSeries: Wiley classics library: Publisher: [Weinheim] : Wiley-VCH, [2004], c1953Edition: 1st English ed.Description: 2 v. : ill. ; 23 cm.ISBN: 0471504394; 9780471504399.Uniform titles: Methoden der mathematischen physik. English Subject(s): Mathematical physics | Mathematics | PhysicsDDC classification: 530.15 COU | Item type | Current library | Call number | Copy number | Status | Barcode | |
|---|---|---|---|---|---|---|
| General lending | MTU Kerry North Campus Library First Floor Main | 530.15 COU (Browse shelf(Opens below)) | 1 | Available | 38888000503411 |
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Enhanced descriptions from Syndetics:
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.
"Wiley classics library."
"Translated and revised from the German original."
Includes index.
Includes bibliographical references.
General Theory of Partial Differential Equations of First Order -- Differential Equations of Higher Order -- Potential Theory and Elliptic Differential Equations -- Hyperbolic Differential Equations in Two Independent Variables -- Hyperbolic Differential Equations in More than Two Independent Variables -- Bibliography -- Index.
Table of contents provided by Syndetics
- Partial table of contents
- The Algebra Of Linear Transformations And Quadratic Forms
- Transformation to Principal Axes of Quadratic and Hermitian Forms
- Minimum-Maximum Property of Eigenvalues
- Series Expansion Of Arbitrary Functions
- Orthogonal Systems of Functions
- Measure of Independence and Dimension Number
- Fourier Series
- Legendre Polynomials
- Linear Integral Equations
- The Expansion Theorem and Its Applications
- Neumann Series and the Reciprocal Kernel
- The Fredholm Formulas
- The Calculus Of Variations
- Direct Solutions
- The Euler Equations
- 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
- Application Of The Calculus Of Variations To Eigenvalue Problems
- Completeness and Expansion Theorems
- Nodes of Eigenfunctions
- Special Functions Defined By Eigenvalue Problems
- Bessel Functions
- Asymptotic Expansions
- Additional Bibliography
- Index
Author notes provided by Syndetics
Richard Courant was born in Lublintz, Germany, on January 8, 1888, later becoming an American citizen. He was a mathematician, researcher and teacher, specializing in variational calculus and its applications to physics, computer science, and related fields. He received his Ph.D. from the University of Gottingen, Germany, lectured at Cambridge University and headed the mathematics department at New York University.Courant's writings include Introduction to Calculus and Analysis (1965), written with John Fritz, Differential and Integral Calculus (1965), Methods of Mathematical Physics: Dirichlet's Principle, Conformal Mapping and Minimal Surfaces (1950), and Supersonic Flow and Shock Waves (1948). He edited a mathematics series and contributed to journals and periodicals.
Courant received the Distinguished Service Award from the Mathematical Association of America in 1965. He earned the Navy Distinguished Public Service Award, the Knight-Commander's cross, and Germany's Star of the Order of Merit in 1958.
Courant died on January 27, 1972.
(Bowker Author Biography)