Calculus Early Transcendentals – Soo T. Tan – 1st Edition


Taking a fresh approach while retaining classic presentation, the Tan series utilizes a clear, concise 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 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 , 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.

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 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

A.1 Proofs of Selected Theorems
A.2 Real Numbers and the Real Number Line
A.3 Answers to Odd-Numbered Exercises
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