Calculus: Early Transcendental Functions (AP® Edition)

  • AUTHORS: Ron Larson; Bruce H. Edwards
  • ISBN-13: 9781285775890 
  • Grade(s): 9 | 10 | 11 | 12
  • 1360 Pages  Hardcover 
  • 6th Edition
  • ©2015     Published
  • Prices are valid only in the respective region


About The Product

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, Sixth Edition, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the sixth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


  • Applications--Carefully chosen applied exercises and examples are included throughout to address the question, "When will I use this?" These applications are pulled from diverse sources, such as current events, world data, industry trends, and more, and relate to a wide range of interests.
  • Writing About Concepts--Writing exercises at the end of each section are designed to test students' understanding of basic concepts in each section, encouraging them to verbalize and write answers and promote technical skills that will be invaluable in their future careers.
  • Theorems--Theorems provide the conceptual framework for calculus. Theorems are clearly stated and separated from the rest of the text by boxes for quick visual reference. Key proofs often follow the theorem and can be found on
  • Definitions--As with theorems, definitions are clearly stated using precise, formal wording and are separated from the text by boxes for quick visual reference.
  • Explorations--Explorations provide unique challenges to study concepts that have not yet been formally covered in the text. They allow students to learn by discovery and introduce topics related to ones presently being studied. Exploring topics in this way encourages students to think outside the box.
  • Historical Notes and Biographies--Historical notes provide students with background information on the foundations of calculus. The Biographies introduce students to the people who created and contributed to calculus.
  • Technology--Throughout the book, technology boxes show students how to use technology to solve problems and explore concepts of calculus. These tips also point out some of the pitfalls of using technology.
  • Section Projects--Projects appear in selected sections and encourage students to explore applications related to the topics they are studying. They provide an interesting and engaging way for students to work and investigate ideas collaboratively.
  • Putnam Exam Challenges--Putnam Exam Questions appear in selected sections. These actual Putnam Exam Questions will challenge students and push them to the limits of their understanding of calculus.

About the Contributor

  • Ron Larson

    Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

  • Bruce H. Edwards

    Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogotá, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991–1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.

Table of Contents

1. Preparation for Calculus
2. Limits and Their Properties
3. Differentiation
4. Applications of Differentiation
5. Integration
6. Differential Equations
7. Applications of Integration
8. Integration Techniques, L’Hôpital’s Rule, and Improper Integrals
9. Infinite Series
10. Conics, Parametric Equations, and Polar Coordinates
11. Vectors and the Geometry of Space
12. Vector-Valued Functions
13. Functions of Several Variables
14. Multiple Integration
15. Vector Analysis

New to this Edition

  • robust companion website offers multiple tools and resources. Access to these features is free. Students can watch videos explaining concepts or proofs from the book, explore examples, view three-dimensional graphs, download articles from math journals, and much more!
  • Interactive Examples--Examples throughout the book are accompanied by interactive examples at These interactive examples use Wolfram's free CDF Player and allow students to explore calculus by manipulating functions or graphs, and observing the results.
  • Proof Videos--Students can watch videos of co-author Bruce Edwards as he explains the proofs of the theorems in CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, Sixth Edition, at
  • How Do You See It?--The "How Do You See It?" feature in each section presents a real-life problem that students solve by visual inspection using the concepts learned in the lesson. This exercise is excellent for classroom discussion or test preparation.
  • Remark--These hints and tips reinforce or expand on concepts, help students learn how to study mathematics, caution students about common errors, address special cases, or show alternative or additional steps to a solution of an example.
  • Exercise Sets--The exercise sets have been carefully and extensively examined to ensure they are rigorous and relevant and include all topics our users have suggested. The exercises have been reorganized and titled so students can better see the connections between examples and exercises. Multi-step, real-life exercises reinforce problem-solving skills and mastery of concepts by giving students the opportunity to apply the concepts in real-life situations.
  • Appendix A (Proofs of Selected Theorems) now appears in video format on The proofs also appear in text form at