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A first course in calculus

Author: Serge Lang
Publisher: New York : Springer-Verlag, ©1986.
Series: Undergraduate texts in mathematics.
Edition/Format:   Book : English : 5th edView all editions and formats
Database:WorldCat
Summary:

Covers various topics taught in the first-year calculus sequence. This title is divided into five parts that contains examples and applications relating to the topic covered. It also contains  Read more...

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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Serge Lang
ISBN: 0387962018 9780387962016 3540962018 9783540962014
OCLC Number: 12345199
Notes: Includes index.
Description: xv, 624, 100, 3 pages : illustrations ; 25 cm.
Contents: Part I. Review of basic material --
1. Numbers and functions --
2. Graphs and curves --
Part II. Differentiation and elementary functions --
3. The derivative --
4. Sine and Cosine --
5. The mean valule theorem --
6. Sketching curves --
7. Inverse functions --
8. Exponents and logarithms --
Part III. Integration --
9. Integration --
10. Properties of the integral --
11. Techniques of integration --
12. Applications of integration --
Part IV. Taylor's formula and series --
13. Taylor's formula --
14. Series --
Part V. Functions of several variables --
15. Vectors --
16. Differentiation of vectors --
17. Functions of several variables --
18. The chain rule and the gradient.
Series Title: Undergraduate texts in mathematics.
Responsibility: Serge Lang.
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