Description
A First Course in Calculus (5th Ed., 5th ed. 1986. 5th corr. printing 1998)
Undergraduate Texts in Mathematics Series
Author: Lang Serge
Language: EnglishKeywords
calculus; derivative; differential equation; logarithm; mean value theorem
Publication date: 09-2012
731 p. · 15.5x23.5 cm · Paperback
731 p. · 15.5x23.5 cm · Paperback
Description
/li>Contents
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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.
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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