No abstract

specialised reading (there are plenty of references to a useful biblio graphy). Several nice things are not readily available in any other book; the reviewer noticed particularly the heat-theoretical proof of the central limit theorem, Wielandt's treatment of stochastic matrices, Macmillan's theorem in information theory, and an account of " mixing " conditions. D. G. K e n d a l l Churchill College, Cambridge. A Survey of Numerical Analysis. Edited by J o h n T o d d. Pp. xvi, 589. 97s. 1962. (McGraw-Hill) The book is the work of fourteen specialist authors who took part in a Training Programme in Numerical Analysis for Senior University Staff. It is divided into seventeen sections ranging from Classical Numerical Analysis to Number Theory and Linear estimation. The names of the authors are sufficient guarantee of the high quality of the work and it is only surprising that a high degree of coordination has been maintained throughout the book. It would be pretentious for one reviewer to comment in detail on the diverse topics covered but the general impression is one of clarity combined with enthusiasm. This book is not for the immature under graduate but should be stimulating to all those more experienced mathematicians who wish to learn something of modern numerical analysis. Each chapter is concluded by a long list of references which make a useful guide to further reading. The references in general refer to works published not later than 1961.

No abstract

No abstract

specialised reading (there are plenty of references to a useful biblio graphy). Several nice things are not readily available in any other book; the reviewer noticed particularly the heat-theoretical proof of the central limit theorem, Wielandt's treatment of stochastic matrices, Macmillan's theorem in information theory, and an account of " mixing " conditions. D. G. K e n d a l l Churchill College, Cambridge. A Survey of Numerical Analysis. Edited by J o h n T o d d. Pp. xvi, 589. 97s. 1962. (McGraw-Hill) The book is the work of fourteen specialist authors who took part in a Training Programme in Numerical Analysis for Senior University Staff. It is divided into seventeen sections ranging from Classical Numerical Analysis to Number Theory and Linear estimation. The names of the authors are sufficient guarantee of the high quality of the work and it is only surprising that a high degree of coordination has been maintained throughout the book. It would be pretentious for one reviewer to comment in detail on the diverse topics covered but the general impression is one of clarity combined with enthusiasm. This book is not for the immature under graduate but should be stimulating to all those more experienced mathematicians who wish to learn something of modern numerical analysis. Each chapter is concluded by a long list of references which make a useful guide to further reading. The references in general refer to works published not later than 1961.