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Calculus
by Howard A. Anton , Stephen Davis
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15
* Introduction: Calculus: A new Horizon from Ancient roots
* Functions
* Limits and Continuity
* The Derivative
* The Derivative in Graphing and Applications
* Integration
* Applications of the Definite Integral in Geometry, Science and Engineering
* Exponential, Logarithmic and Inverse Trigonometric Functions
* Principles of Integral Evaluation
* Mathematical Modeling with Differential Equations
* Infinite Series
* Analytic Geometry in Calculus
* Three-Dimensional Space; Vectors
* Vector-Valued Functions
* Partial Derivatives
* Multiple Integrals
* Topics in Vector Calculus
* Appendix A: Real numbers, Intervals and Inequalities
* Appendix B: Absolute Value
* Appendix C: Coordinate Planes and Lines
* Appendix D: Distance, Circles and Quadratic Equations
* Appendix E: Trigonometry Review
* Appendix F: Solving Polynomial Equations
* Appendix G: Selected Proofs
* Answers
* Photo Credits
* Index
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