Selecta II - Expository Writings

ISBN-13: 9781493910946 / Angielski / Miękka / 2014 / 304 str.

P. R. Halmos; D. E. Sarason; L. Gillman

Opis

A selection of the mathematical writings of Paul R. Halmos (1916 - 2006) is presented in two Volumes. Volume I consists of research publications plus two papers of a more expository nature on Hilbert Space. The remaining expository articles and all the popular writings appear in this second volume. It comprises 27 articles, written between 1949 and 1981, and also a transcript of an interview.

Spis treści

[1949 d] Measurable transformations.- [1959 d] Entropy in ergodic theory.- [1961 a] Recent progress in ergodic theory.- [1963 a] What does the spectral theorem say?.- [1963 b] A glimpse into Hilbert space.- [1970 b] Finite-dimensional Hilbert spaces.- [1944 c] The foundations of probability.- [1976 b] American mathematics from 1940 to the day before yesterday.- [1977 b] Bernoulli shifts.- [1978 a] Fourier series.- [1978 b] Arithmetic progressions.- [1978 c] Invariant subspaces.- [1978 d] Schauder bases.- [1978 e] The Serre conjecture.- [1983] The work of F. Riesz.- [1970 a] How to write mathematics.- [1974 b] How to talk mathematics.- [1975 a] What to publish.- [1975 b] The teaching of problem solving.- [1977 a] Logic from A to G.- [1980 c] The heart of mathematics.- [1981c] Does mathematics have elements?.- [1982 e] The thrills of abstraction.- [1957 b] Nicolas Bourbaki.- [1968 d] Mathematics as a creative art.- [1973 a] The legend of John von Neumann.- [1981 b] Applied mathematics is bad mathematics.- Paul Halmos: A maverick mathologist.