A First Course in Calculus (Undergraduate Texts in Mathematics 5th ed. 1986. 5th corr. printing 1998)

A First Course in Calculus (Undergraduate Texts in Mathematics 5th ed. 1986. 5th corr. printing 1998)

By: Serge Lang (author)Hardback

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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.

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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.

Product Details

  • publication date: 01/03/1998
  • ISBN13: 9780387962016
  • Format: Hardback, Paperback
  • Number Of Pages: 746
  • ID: 9780387962016
  • weight: 2690
  • ISBN10: 0387962018
  • edition: 5th ed. 1986. 5th corr. printing 1998

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