Calculus with analytic geometry
著者
書誌事項
Calculus with analytic geometry
Prentice Hall, c1998
5th ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Appropriate for standard undergraduate Calculus courses. The mainstream calculus text with the most flexible approach to new ideas and calculator/computer technology. *NEW - There are more than 1250 new problems among the books total of approximately 6700. Almost all of these are in the intermediate range of difficulty, neither highly theoretical nor computationally routine. Some reflect an emphasis on new technology by encouraging the use of technology ranging from a graphing calculator to a computer algebra system. *NEW - Web site available to users with student help center staffed by graduate students available on Sunday evenings. Site includes animations of most text examples with 'what-if' scenarios, challenging applications that require the user to have some type of number crunching software, self-paced quizzes, and internet links of additional calculus material. *NEW - More than 20% of the 700 in-text examples are new as are about twenty of the 50 optional technology projects. *NEW - Includes new matrix terminology and notation in the multivariable portion of the text.
*NEW - Reorganization by combining vectors in 2-space and 3-space, yielding one less chapter than previous edition. *NEW - All of the technology projects are on the web site with a menu of Maple, Mathematica, Derive, MATLAB, and EXCEL that appropriately (with a click or two) ties into the user's machine. Suntax is provided for use of the projects with a TI graphing calculator as well. *All the technology projects are on the web site with a menu of Maple, Mathematica, Derive, MATLAB and EXCEL that appropriately (with a click or two) ties into the user's machine. Suntax is provided for use of the projects with a TI graphing calculator as well. *Provides a solid combination of standard calculus and a fresh conceptual emphasis that is open to the possibilities offered by new technologies. *The most extensively visual text in the market, highlighted by hundreds of Mathematica and MATLAB generated figures throughout the book.
目次
1. Functions and Graphs.
2. Prelude to Calculus.
3. The Derivative.
4. Additional Applications of the Derivative.
5. The Integral.
6. Applications of the Integral.
7. Exponential and Logarithmic Functions.
8. Further Calculus of Transcendental Functions.
9. Techniques of Integration.
10. Polar Coordinates and Plane Curves.
11. Infinite Series.
12. Vectors, Curves, and Surfaces in Space.
13. Partial Differentiation.
14. Multiple Integrals.
15. Vector Calculus.
Appendices.
Answers to Odd-Numbered Problems.
References for Further Study.
Teaching Outlines.
Index.
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