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A First Course in Calculus

Undergraduate Texts in Mathematics

By Serge Lang

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Format: Paperback, 731 pages, 5th 1986. Softcover Edition
Published In: United States, 01 September 2012
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.

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.

Promotional Information

Springer Book Archives

EAN: 9781461264286
ISBN: 1461264286
Publisher: Springer
Dimensions: 23.39 x 15.6 x 3.81 centimetres (1.09 kg)
Age Range: 15+ years
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