A First Course in Calculus / Edition 5

A First Course in Calculus / Edition 5

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by Serge Lang
     
 

ISBN-10: 0387962018

ISBN-13: 9780387962016

Pub. Date: 01/15/1986

Publisher: Springer New York

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…  See more details below

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 Series
Edition description:
5th ed. 1986. 5th corr. printing 1998
Pages:
731
Product dimensions:
9.21(w) x 6.14(h) x 1.56(d)

Related Subjects

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.

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