Fourier transforms. (English) Zbl 0038.26801

Sneddon, Ian N.

New York: McGraw-Hill Book Company, Inc. (1950).

This book deals with the application of Fourier, Mellin, Laplace and Hankel transforms to the solution of problems in physics and engineering. Chapter headings are: (I) Fourier transforms. (II) Hankel transforms. (III) Finite transforms. (IV) Theory of vibrations. (V) The conduction of heat in solids. (VI) The slowing down of neutrons in matter. (VII) Hydrodynamic problems. (VIII) Applications to atomic and nuclear physics. (IX) Two-dimensional stress systems. (X) Axially symmetric stress distributions. Appendix A: Some properties of Bessel functions. Appendix B: Approximate methods of calculating integral transforms. Appendix C: Tables of integral transforms.

MSC:

42-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces
42A38	Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
44-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral transforms
44A05	General integral transforms
44A10	Laplace transform
65A05	Tables in numerical analysis
65R10	Numerical methods for integral transforms

Keywords:

Fourier transforms; integral transforms; Mellin transform; Laplace transform; Hankel transform; vibrations; conduction of heat in solids; slowing down of neutrons in matter; hydrodynamic problems; applications to atomic and nuclear physics; two-dimensional stress systems; axially symmetric stress distributions; Bessel functions