Calculus: Concepts and Methods

by Ken Binmore, Joan Davies

The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.

Genres: Mathematics, Calculus, Economics

567 pages, Kindle Edition

First published January 1, 2001

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

[Praveen Kishore · Rating 4 out of 5]

A gem of a book. Must for those who are taking up economics.