Short calculus

The original edition of a first course in calculus

Serge Lang

260 pages, parution le 17/12/2001

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Résumé

This is a reprint of "A First Course in Calculus," which has gone through five editions since the early sixties. It covers all the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. As sociological and educational conditions have evolved in various ways over the past four decades, it has been found worthwhile to make the original edition available again. The audience consists of those taking the first calculus course, in high school or college. The approach is the one which was successful decades ago, involving clarity, and adjusted to a time when the students' background was not as substantial as it might be. We are now back to those times, so it's time to start over again. There are no epsilon-deltas, but this does not imply that the book is not rigorous. Lang learned this attitude from Emil Artin, around 1950.

Table of Contents

Numbers and Functions
Graphs and Curves
The Derivative
Sine and Cosine
The Mean Value Theorem
Sketching Curves
Inverse Functions
Exponents and Logarithms
Integration
Properties of the Integral
Techniques of Integration
Some Substantial Exercises
Applications of Integration
Taylor's Formula
Series
Appendix 1. Epsilon and Delta
Appendix 2. Physics and Mathematics
Answers
Index

L'auteur - Serge Lang

Professeur à Yale University

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Serge Lang
Parution	17/12/2001
Nb. de pages	260
Format	15,5 x 23,4
Couverture	Broché
Poids	400g
Intérieur	Noir et Blanc
EAN13	9780387953274
ISBN13	978-0-387-95327-4