Author: James Stewart
ISBN-10: 049501169X
ISBN-13: 978-0495011699
Format: E-Book PDF Format
Publisher: Thomson Learning
Pub. Date: 2007
Pages: 763
Discription:
The art of teaching, Mark Van Doren said, is the art of assisting discovery. I have tried to write a book that assists students in discovering calculus—both for its practical power and its surprising beauty. In this edition, as in the first five editions, I aim to convey to the student a sense of the utility of calculus and develop technical competence, but I also strive to give some appreciation for the intrinsic beauty of the subject. Newton undoubtedly experienced a sense of triumphwhen he made his great discoveries. I want students to share some of that excitement.
The emphasis is on understanding concepts. I think that nearly everybody agrees that this should be the primary goal of calculus instruction. In fact, the impetus for the current calculus reform movement came from the Tulane Conference in 1986, which formulated as their first recommendation:
Focus on conceptual understanding.
The emphasis is on understanding concepts. I think that nearly everybody agrees that this should be the primary goal of calculus instruction. In fact, the impetus for the current calculus reform movement came from the Tulane Conference in 1986, which formulated as their first recommendation:
Focus on conceptual understanding.
I have tried to implement this goal through the Rule of Three: “Topics should be presented geometrically, numerically, and algebraically.” Visualization, numerical and graphical experimentation, and other approaches have changed how we teach conceptual reasoning in fundamental ways. More recently, the Rule of Three has been expanded to become the Rule of Four by emphasizing the verbal, or descriptive, point of view as well. In writing the sixth edition my premise has been that it is possible to achieve conceptual understanding and still retain the best traditions of traditional calculus. The book contains elements of reform, but within the context of a traditional curriculum.
Chapter 1: FUNCTIONS AND MODELS
Chapter 2: LIMITS AND DERIVATIVES
Chapter 3: DIFFERENTIATION RULES
Chapter 4: APPLICATIONS OF DIFFERENTIATION
Chapter 5: INTEGRALS
Chapter 6: INTEGRALS
Chapter 7: TECHNIQUES OF INTEGRATION
Chapter 8: FURTHER APPLICATIONS OF INTEGRATION
Chapter 9: DIFFERENTIAL EQUATIONS
Chapter 10: PARAMETRIC EQUATIONS AND POLAR COORDINATES
Chapter 11: INFINITE SEQUENCES AND SERIES
Chapter 12: VECTORS AND THE GEOMETRY OF SPACE
Chapter 13: VECTOR FUNCTIONS
Chapter 14: PARTIAL DERIVATIVES
Chapter 15: MULTIPLE INTEGRALS
Chapter 16: VECTOR CALCULUS
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