Anton's Calculus, Early Transcendentals strives to increase student comprehension and conceptual understanding through a balance between rigor and clarity of explanations, sound mathematics, and excellent exercises, applications, and examples. Anton pedagogically approaches Calculus through the Rule of Four, presenting concepts from the verbal, algebraic, visual, and numerical points of view.

NEW TO EDITION
Most of the pre-calculus material in the previous edition Chapter 0 has been moved to Appendices, and the remaining Chapter 0 material is merged into Chapter 1.
Some prose in other areas of the text has been tightened to enhance clarity and student understanding.
New applied exercises have been added to the book and some existing applied exercises have been updated.

1. LIMITS AND CONTINUITY

2. THE DERIVATIVE

3. TOPICS IN DIFFERENTIATION

4. THE DERIVATIVE IN GRAPHING AND APPLICATIONS

5. INTEGRATION

6. APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY SCIENCE, AND ENGINEERING

7. PRINCIPLES OF INTEGRAL EVALUATION

8. MATHEMATICAL MODELING WITH DIFFERENTIAL EQUATIONS

9. INFINITE SERIES

10. PARAMETRIC AND POLAR CURVES; CONIC SECTIONS

11. THREE-DIMENSIONAL SPACE; VECTORS

12. VECTOR-VALUED FUNCTIONS

13. PARTIAL DERIVATIVES

14. MULTIPLE INTEGRALS

15. TOPICS IN VECTOR CALCULUS

APPENDICES

A. TRIGONOMETRY REVIEW (SUMMARY)

B. FUNCTIONS (SUMMARY)

C. NEW FUNCTIONS FROM OLD (SUMMARY)

D. FAMILIES OF FUNCTIONS (SUMMARY)

E. INVERSE FUNCTIONS (SUMMARY)

ANSWERS TO ODD-NUMBERED EXERCISES

INDEX I-1

지은이: Howard Anton, Irl C. Bivens, Stephen Davis

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