Calculus
著者
書誌事項
Calculus
Prentice Hall, c2000
8th ed
- : pbk., international ed.
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注記
Includes index
内容説明・目次
内容説明
For freshman/sophomore-level courses treating calculus of both one and several variables.
While it covers all the material needed by students in engineering, science, and mathematics, this calculus text remains the shortest mainstream calculus book available-ideal for instructors who want a no-nonsense, concisely written text. The authors make effective use of computing technology, graphics, and applications. At least two technology projects are presented in each chapter. This popular book is accurate without being excessively rigorous and up-to-date without being faddish.
目次
1. Preliminaries.
2. Functions and Limits.
3. The Derivative.
4. Applications of the Derivative.
5. The Integral.
6. Applications of the Integral.
7. Transcendental Functions.
8. Techniques of Integration.
9. Indeterminate Forms and Improper Integrals.
10. Infinite Series.
11. Numerical Methods, Approximations.
12. Conics and Polar Coordinates.
13. Geometry in the Plane, Vectors.
14. Geometry in Space, Vectors.
15. The Derivative in n-Space.
16. The Integral in n-Space.
17. Vector Calculus.
18. Differential Equations.
Appendix: Mathematical Induction.
Appendix: Proofs of Several Theorems.
A Backward Look.
Answers to Odd-Numbered Problems.
Index.
Photo Credits.
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