A first course in calculus
Author(s)
Bibliographic Information
A first course in calculus
(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.
by "Nielsen BookData"