(1) The Theory of Functions of a Real Variable and the Theory of Fourier's Series (2) Introduction to the Theory of Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat (3) A Treatise on the Integral Calculus, with Applications, Examples, and Problems

Abstract

THE first edition of Prof. Hobson's treatise JL fell naturally into two parts. The first five chapters were occupied with the theory of aggregates, the general theory of functions, and the theory of integration, while the last two dealt with the theory of series, and in particular with Fourier's series. It is the first five chapters which have developed into the present volume. It was inevitable that a great deal of the book would have to be rewritten, for the theory has developed very rapidly; there was a mass of recent research to be incorporated, and much of the older work has been definitely superseded. The preparation of a new edition must have been a very long and heavy piece of work, and Prof. Hobson is to be congratulated on the progress he has made with so formidable a task. (1) The Theory of Functions of a Real Variable and the Theory of Fourier's Series. By Prof. E. W. Hobson. Second edition, revised throughout and enlarged. Vol. 1. Pp. xvi + 671. (Cambridge: At the University Press, 1921.) 45s. net. (2) Introduction to the Theory of Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat. By Prof. H. S. Carslaw. Second edition, completely revised. Vol. 1, Fourier's Series and Integrals. Pp. xi + 323. (London: Macmillan and Co., Ltd., 1921.) 30s. net. (3) A Treatise on the Integral Calculus, with Applications, Examples, and Problems. By J. Edwards. Vol. 1. Pp. xxi + 907. (London: Macmillan and Co., Ltd., 1921.) 50s. net.