A First Course in Calculus

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:	9780387962016
Publisher:	Springer New York
Publication date:	01/15/1986
Series:	Undergraduate Texts in Mathematics
Edition description:	Fifth Edition 1986
Pages:	731
Product dimensions:	6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

One Review of Basic Material.- I Numbers and Functions.- II Graphs and Curves.- Two Differentiation and Elementary Functions.- III The Derivative.- IV Sine and Cosine.- V The Mean Value Theorem.- VI Sketching Curves.- VII Inverse Functions.- VIII Exponents and Logarithms.- Three Integration.- IX Integration.- X Properties of the Integral.- XI Techniques of Integration.- XII Applications of Integration.- Four Taylor’s Formula and Series.- XIII Taylor's Formula.- XIV Series.- Five Functions of Several Variables.- XV Vectors.- XVI Differentiation of Vectors.- XVII Functions of Several Variables.- XVIII The Chain Rule and the Gradient.- Answer.