A First Course in Calculus / Edition 5

by Serge Lang

Overview

This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples — one of the main improvements over previous editions.

Product Details

ISBN-13:	9781461264286
Publisher:	Springer New York
Publication date:	09/13/2012
Series:	Undergraduate Texts in Mathematics
Edition description:	5th ed. 1986. Softcover reprint of the original 5th ed. 1986
Pages:	731
Sales rank:	463,846
Product dimensions:	6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

I: Review of Basic Material. * Numbers and Functions. * Graphs and Curves. II: Differention and Elementary Functions. * The Derivative. * Sine and Cosine. * The Mean Value Theorem. * Sketching Curves. * Inverse Functions * Exponents and Logarithms. III: Integration. * Integration. * Properties of the Integral. * Techniques of Integration. * Applications of Integration. IV: Taylor's Formula and Series. * Taylor's Formula. * Series. Appendix. V: Functions of Several Variables. * Vectors. * Differention of Vectors. * Functions of Several Variables. * The Chain Rule and the Gradient.