Calculus for the Ambitious

by T.W. Körner

From the author of The Pleasures of Counting and Na�ve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor K�rner uses approximation and estimates in a way that will easily merge into the standard development of analysis. By using Taylor's theorem with error bounds he is able to discuss topics that are rarely covered at this introductory level. This book describes important and interesting ideas in a way that will enthuse a new generation of mathematicians.

Genres: Mathematics, Calculus, Nonfiction

178 pages, Hardcover

First published May 19, 2014

About the author

Thomas William Körner (born 17 February 1946) is a British pure mathematician and the author of school books. He is titular Professor of Fourier Analysis in the University of Cambridge and a Fellow of Trinity Hall. He is the son of the philosopher Stephan Körner and of Edith Körner.

He studied at Trinity Hall, Cambridge, and wrote his PhD thesis Some Results on Kronecker, Dirichlet and Helson Sets there in 1971, studying under Nicholas Varopoulos. In 1972 he won the Salem Prize.

He has written three academic mathematics books aimed at undergraduates, and two books aimed at secondary school students, the popular 1996 title The Pleasures of Counting and Naive Decision Making (published 2008) on probability, statistics and game theory.

Reviews

[Nattapon Chotsisuparat · Rating 5 out of 5]

This is a compact book. It is 160 pages or such. This book appears to be an introduction to calculus, yet the material seems strange when compared to textbooks for basic calculus (Stewart or Anton). There are calculus and analysis in this textbook. I believe that if you are a ambitious student, you can finish this book in two weeks. The materials are simple to understand, but the problems can be challenging.