Calculus: Concepts and Connections (Paperback)
Smith, Minton
- 出版商: McGraw-Hill Education
- 出版日期: 2005-12-31
- 定價: $1,000
- 售價: 9.5 折 $950
- 語言: 英文
- ISBN: 0071112006
- ISBN-13: 9780071112000
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相關分類:
微積分 Calculus
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商品描述
Description
This modern calculus textbook places a strong emphasis on developing students' conceptual understanding and on building connections between key calculus topics and their relevance for the real world. It is written for the average student -- one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, examples and exercises throughout. The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the "Rule of Four") to give students a complete understanding of calculus.
Table of Contents
0 Preliminaries
1 Limits and Continuity
2 Differentiation
3 Applications of Differentiation
4 Integration
5 Applications of the Definite Integral
6 Differential Equations
7 Infinite Series
8 Vectors and the Geometry of Space
9 Vector-Valued Functions
10 Functions of Several Variables and Differentiation
11 Multiple Integrals
12 Vector Calculus
Appendix A Additional Polar Graphs
Appendix B Formal Definition of the Limit
Appendix C Derivation of Sine Function
Appendix D The Natural Logarithm as an Integral
Appendix E Conic Sections in Polar Coordinates
Appendix F Proofs of Selected Theorems
Appendix G Answers to Odd-Numbered Exercises