A first course in calculus

Author(s)

Bibliographic Information

A first course in calculus

Serge Lang

(Undergraduate texts in mathematics)

Springer, c1986

5th ed

  • : [pbk.]

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Note

"Softcover reprint of the hardcover 5th edition 1986"--t.p. verso

"Previous editions of this book were published in 1978, 1973, 1968, 1964 by Addison-Wesley Pub."--t.p. verso

Includes index

Description and Table of Contents

Description

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.

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Details

  • NCID
    BC15520669
  • ISBN
    • 9781461264286
  • LCCN
    85017181
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xv, 624, 100, 3 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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