Calculus: Early Transcendentals available in Hardcover
Taking a fresh approach while retaining classic presentation, the Tan Calculus series utilizes a clear, concise writing style, and uses relevant, real world examples to introduce abstract mathematical concepts with an intuitive approach. In keeping with this emphasis on conceptual understanding, each exercise set in the three semester Calculus text begins with concept questions and each end-of-chapter review section includes fill-in-the-blank questions which are useful for mastering the definitions and theorems in each chapter. Additionally, many questions asking for the interpretation of graphical, numerical, and algebraic results are included among both the examples and the exercise sets. The Tan Calculus three semester text encourages a real world, application based, intuitive understanding of Calculus without comprising the mathematical rigor that is necessary in a Calculus text.
About the Author
Soo T. Tan, Professor of Mathematics at Stonehill College, has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension.
Table of Contents
0. Preliminaries. 1. Limits. 2. The Derivative. 3. Applications of the Derivative. 4. Integration. 5. Applications of the Definite Integral. 6. Techniques of Integration. 7. Differential Equations. 8. Infinite Sequences and Series. 9. Conic Sections, Parametric Equations, and Polar Coordinates. 10. Vectors and the Geometry of Space. 11. Vector-Valued Functions. 12. Functions of Several Variables. 13. Multiple Integrals. 14. Vector Analysis.