The Foundations of Analysis: A Straightforward Introduction: Book 1 Logic, Sets and Numbers

by Ken Binmore

In elementary introductions to mathematical analysis, the treatment of the logical and algebraic foundations of the subject is necessarily rather skeletal. This book attempts to flesh out the bones of such treatment by providing an informal but systematic account of the foundations of mathematical analysis written at an elementary level. This book is entirely self-contained but, as indicated above, it will be of most use to university or college students who are taking, or who have taken, an introductory course in analysis. Such a course will not automatically cover all the material dealt with in this book and so particular care has been taken to present the material in a manner which makes it suitable for self-study. In a particular, there are a large number of examples and exercises and, where necessary, hints to the solutions are provided. This style of presentation, of course, will also make the book useful for those studying the subject independently of taught course.

Genres: Mathematics

144 pages, Paperback

First published March 26, 1981

About the author

Professor of Economics at UCL, after holding corresponding positions at LSE and the University of Pennsylvania and Michigan. Onetime Professor of Mathematics at LSE.

Author of 77 published papers and 11 books. Research in evolutionary game theory, bargaining theory, experimental economics, political philosophy, mathematics and statistics.

Grants from National Science Foundation (3), ESRC (1), STICERD (2) and others. Chairman of LSE Economics Theory Workshop (10 years), Director of Michigan Economic Laboratory (5 years). Fellow of the Econometric Society and British Academy. Extensive collaboration with 25 co-authors.

Awarded the CBE in the New Years Honours List 2001 largely for his role in designing the UK 3G Spectrum Auction.

Reviews

[Lucille Nguyen · Rating 5 out of 5]

Readable, accessible, and incredibly lucid introduction to fundamental concepts in mathematics and analysis. Perhaps one of the best math books I've ever read.