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Cover: Rogawski's Calculus Early Transcendentals for AP®, 2nd Edition by Jon Rogawski; Ray Cannon
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Rogawski's Calculus Early Transcendentals for AP®

Second  Edition|©2012  Jon Rogawski; Ray Cannon

  • About
  • Contents
  • Authors

About

Contents

Table of Contents

1. Precalculus Review
2. Limits
3. Differentiation
4. Applications of the Derivative
5. The Integral
6. Applications of the Integral
7. Techniques of Integration
8. Further Applications of the Integral and Taylor Polynomials
9. Introduction to Differential Equations
10. Infinite Series
11. Parametric Equations, Polar Coordinates, and Vector Functions
12. Differentiation in Several Variables
 
Appendices
A. The Language of Mathematics
B. Properties of Real Numbers
C. Induction and the Binomial Theorem
D. Additional Proofs
 
Answers to Odd-Numbered Exercises
Answers to the Odd-Numbered Preparing for the AP Exam Questions
References
Photo Credits
Index

Authors

Jon Rogawski

Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.


Ray Cannon


Table of Contents

1. Precalculus Review
2. Limits
3. Differentiation
4. Applications of the Derivative
5. The Integral
6. Applications of the Integral
7. Techniques of Integration
8. Further Applications of the Integral and Taylor Polynomials
9. Introduction to Differential Equations
10. Infinite Series
11. Parametric Equations, Polar Coordinates, and Vector Functions
12. Differentiation in Several Variables
 
Appendices
A. The Language of Mathematics
B. Properties of Real Numbers
C. Induction and the Binomial Theorem
D. Additional Proofs
 
Answers to Odd-Numbered Exercises
Answers to the Odd-Numbered Preparing for the AP Exam Questions
References
Photo Credits
Index
Headshot of Jon Rogawski

Jon Rogawski

Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.


Headshot of Ray Cannon

Ray Cannon


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