**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 triumph when 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.

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.

**CONTENTS:**

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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