A first course in calculus
著者
書誌事項
A first course in calculus
（Undergraduate texts in mathematics）
Springer, c1986
5th ed
- : us
- : gw
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注記
Previous editions of this book were published in 1978, 1973, 1968, 1964 by Addison-Wesley Pub.
Includes index
内容説明・目次
- 巻冊次
-
: us ISBN 9780387962016
内容説明
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.
目次
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.
- 巻冊次
-
: gw ISBN 9783540962014
内容説明
This fifth edition covers all the topics traditionally taught in the first-year calculus sequence. It consists of five parts: a review of basic material; differentiation and elementary functions; integration; Taylor's formula and series; and functions of several variables.
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