Abstract
WHILE special stress is laid, in the book under notice, on the practical application of mathematics to physics and engineering, yet the book compares favourably with a work on abstract rigorous analysis, although, as would be expected, the rigour is not carried so far as in a purely academic treatise. Of the nine chapters, the first four are concerned with the calculus of a real variable. These include the theorems of Rolle, Taylor, Green and Stokes; the Riemann theory of integration; ordinary and linear simultaneous differential equations with applications to electrical networks; numerical integration; brief discussions of Legendre and Bessel functions and series including the theorems of Fejer and Fourier. Chapter ? is devoted to complex variables and elliptic functions, with applications to the pendulum and the rectification of an elliptic arc. Then follows in Chapter vi a consideration of determinants and matrices together with the elements of vector analysis, differential geometry and tensor analysis. Partial differential equations are dealt with in Chapter vii, whilst the last two chapters are devoted to the calculus of variations, analytical dynamics and an introduction to the theory of the real variable. The book concludes with a useful bibliography and a full index.
Higher Mathematics
With Applications to Science and Engineering. By Prof. Richard Stevens Burington and Charles Chapman Torrance. Pp. xiii + 844. (New York and London: McGraw-Hill Book Co., Inc., 1939.) 30s.
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[Short Reviews]. Nature 145, 659 (1940). https://doi.org/10.1038/145659b0
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DOI: https://doi.org/10.1038/145659b0