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A First Course in Calculus : Undergraduate Texts in Mathematics - Serge Lang

A First Course in Calculus

Undergraduate Texts in Mathematics

Hardcover

Published: 1st March 1998
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This is the fifth edition of Lang's caclulus book. It covers all of the topics traditionally taught in the first-year calculus sequence. The book consists of five parts: Review of Basic Material, Differention and Elementary Functions, Integration, Taylor's Formula and Series and Functions of Several Variables. Each section of A FIRST COURSE IN CALCULUS contains examples and applications of the topic covered. In addition, the back of the book contains detailed solutions to a large number of the exercises. These can be used as worked-out examples, and constitute one of the main changes from previous editions.

Review of Basic Material
Numbers and Functions
Graphs and Curves
Differention and Elementary Functions
The Derivative
Sine and Cosine
The Mean Value Theorem
Sketching Curves
Inverse Functions
Exponents and Logarithms
Integration
Integration
Properties of the Integral
Techniques of Integration
Applications of Integration
Taylor's Formula and Series
Taylor's Formula
Series. Appendix
Functions of Several Variables
Vectors
Differention of Vectors
Functions of Several Variables
The Chain Rule and the Gradient
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387962016
ISBN-10: 0387962018
Series: Undergraduate Texts in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 731
Published: 1st March 1998
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.81
Weight (kg): 1.18
Edition Number: 5
Edition Type: Revised