Calculus for the Ambitious

by T. W. Körner

Overview

From the author of The Pleasures of Counting and Naïve 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 Körner 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.

Product Details

ISBN-13:	9781139986359
Publisher:	Cambridge University Press
Publication date:	05/29/2014
Sold by:	Barnes & Noble
Format:	eBook
File size:	25 MB
Note:	This product may take a few minutes to download.

About the Author

T. W. Körner is Professor of Fourier Analysis in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. His previous books include The Pleasures of Counting and Fourier Analysis.

Table of Contents

Introduction; 1. Preliminary ideas; 2. The integral; 3. Functions, old and new; 4. Falling bodies; 5. Compound interest and horse kicks; 6. Taylor's theorem; 7. Approximations, good and bad; 8. Hills and dales; 9. Differential equations via computers; 10. Paradise lost; 11. Paradise regained; Bibliography; Index.