Page Tools:
  • print-friendly version

Calculus: The Language of Change

Author(s): David W. Cohen, PhD, Smith College, Massachusetts
James M. Henle, PhD, Smith College, Massachusetts
Details:
  • ISBN-13: 9780763729479
  • ISBN-10:0763729477
  • Hardcover    988 pages      © 2005
Price: International Sales $239.95 US List
Add to Cart Request a Review Copy

Overview

Calculus: The Language of Change is an innovative introductory textbook that blends reform and traditional approaches with a focus on understanding calculus as a language. With accessible writing and presentation, the book allows students to learn the language gradually -- by first introducing vocabulary, and then moving quickly to present calculus conceptually, computationally, and theoretically. Within this framework, derivatives and integrals are developed side-by-side, coverage of theory is offered at various knowledge levels, and computing devices are incorporated generically. The text features seamless integration between chapters and numerous cross-disciplinary examples and applications, which gives instructors flexibility for shaping their course. A full range of student and instructor resources make Calculus: The Language of Change an outstanding course package.

Click to view/download: Errata.pdf 

ShowKey Features

The meaning of calculus comes first:  Since a language is best learned when it can be used to make meaningful statements, the first chapter teaches students how to use the words and symbols for the derivative and the integral.

Derivatives and integrals are developed side-by-side throughout the text:  Derivatives and integrals are part of a whole and easier to understand when studied together, and students benefit greatly from working with them side-by-side from the start.

Theory is offered at several levels:  Derivatives and integrals are developed in Chapters 1 through 4 informally. In Chapter 5 they’re given a formal but friendly treatment, and then complete theory coverage is given in Chapter 12.

Computing devices are incorporated generically:  The text considers the insights offered by graphing calculators and computer programs, but can be adapted to a wide variety of devices and programs. Technical tools are also available at the authors’ website: http://math.jbpub.com/calculus/.

Examples from many disciplines offer a choice of course emphasis:  There are projects involving applications of calculus throughout the book, such as pharmacokinetics and cosmology, and the text moves broadly across disciplines with entire sections devoted to topics in archaeology, computer science, international relations, public policy, linguistics, and ecology.

Calculus is both integrated and diverse:  Each chapter of the book connects in multiple ways to previous chapters.

Back to top

ShowTable of Contents

Chapter 1. Introducing the Words
Chapter 2. Introducing the Pictures
Chapter 3. Approximating Derivatives and Integrals
Chapter 4. Algebraic Methods
Chapter 5. The Basic Theory
Chapter 6. Modeling Tools
Chapter 7. Aspects of Integration
Chapter 8. Polynomial Approximations
Chapter 9. Infinite Series
Chapter 10. Surfaces
Chapter 11. Complex Calculus
Chapter 12. The Deeper Theory
Appendix A: A Review of Algebra and Geometry
Appendix B: A Review of Trigonometry
Appendix C: A Table of Integrals
Appendix D: Answers, Notes, and Hints


Back to top

ShowAbout the Author(s)

David W. Cohen, PhD-Smith College, Massachusetts

Professor Cohen is a Professor of Mathematics at Smith College. He received his PhD in Mathematics from the University of New Hampshire, and has held posts at Uppsala University, Sweden; Berne University, Switzerland; IHES, Paris; and University of Lyon, France. His research fields include quantum logic, the philosophy of physics, and mathematics education. He is the author or co-author of three books and numerous articles in his fields of research, and he holds the Sherrerd Prize for distinguished teaching at Smith College.  He's a licensed pilot, an amateur film maker, and enjoys fine food. He's married and has two daughters.

James M. Henle, PhD-Smith College, Massachusetts

Professor Henle is a Professor of Mathematics at Smith College. He received his PhD in Mathematics from M.I.T. in 1976. He is the author or co-author of three books and over forty research papers. His work is principally in combinatorial set theory, but touches on geometry, number theory, economics, philosophy of mathematics, and mathematics education. He is a member of the Northampton Woodwind Quintet. Additional interests include politics and fine food. He is married, has a son, and two grandchildren, and lives in Northampton, MA.


 

Back to top

ShowSamples & Additional Resources

ShowResources

    • show overviewPlease contact your sales rep to order

      Calculus eLearning Web site

      ISBN-13:

      Calculus eLearning Web site: http://math.jbpub.com/calculus/ – Designed specifically to accompany the text, this Web site provides additional resources for students to practice what they’ve learned, such as Practice Quizzes, Real World Applications and Essays, and Links to software and graphing utilities.

    • show overview$39.95 Add to Cart

      Calculus: Labs for MATLAB

      ISBN-13: 9780763734268 ISBN-10: 0763734268

      Correlating directly to Cohen and Henle’s text Calculus: The Language of Change, this outstanding lab manual provides numerous labs, projects, and exercises and teaches students how to effectively understand and use MATLAB. Written in a friendly and accessible style, it is the ideal resource for students to practice what they’ve learned in the text. Written by Kevin M. O'Connor, MS, University of Wisconsin.

       

    • show overview$39.95 Add to Cart

      Calculus: Labs for Mathematica

      ISBN-13: 9780763734251 ISBN-10: 076373425X

      Correlating directly to Cohen and Henle’s text Calculus: The Language of Change, this outstanding lab manual provides numerous labs, projects, and exercises and teaches students how to effectively understand and use  the Mathematica Computerized Algebra System (CAS). Written in a friendly and accessible style, it is the ideal resource for students to practice what they’ve learned in the text. Written by Kevin M. O'Connor, MS, University of Wisconsin.

Back to top