Synopses & Reviews
This exploration of the mathematical methods of physics takes a careful look at mathematical entities and explains their elementary properties. Its examples, drawn from the physical sciences, illustrate the application of concepts. The theory of distributions is introduced early and employed throughout the text.
Concise rather than comprehensive, this text states only essential results in its proofs. Topics include preliminary results in the integral calculus, elementary theory of distributions, convolution, Fourier series and the Fourier transform, the Laplace transform, wave and heat conduction equations, the gamma function, and Bessel functions. Prerequisites include a familiarity with linear algebra and functions of a complex variable.
Synopsis
Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
Synopsis
Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
Table of Contents
PrefaceI. Preliminary results in the integral calculus: series and integralsII. Elementary theory of distributionsIII. ConvolutionIV. Fourier seriesV. The Fourier transformVI. The LaPlace transformVII. The wave and heat conduction equationsVIII. The Gamma functionIX. Bessel functions