Calculus Single and Multivariable, 6th Edition

ISBN: 9780470888612

Calculus Single and Multivariable, 6th Edition has been designed to provide you with a comprehensive understanding of mathematics. The textbook presents concepts from a verbal, algebraic, visual and numerical point of view, recognising that students learn in different ways. Quick Check Exercises allow you to quickly test your understanding of completed sections, and Applied Problems demonstrate the connection between calculus and other fields.


This text comes with WileyPLUS, where you can access an online version of the textbook and a comprehensive collection of self-study tools that will help you ace your exams. Go Tutorial questions allow you to work through complex questions step-by-step, providing assistance if you become stuck. These tutorials also allow you to see exactly which area of the question you are getting stuck on. By offering varied questions and instantaneous feedback to your answers, WileyPLUS makes every study session successful.


  • Innovative and engaging problems: Under the approach called the “Rule of Four,” ideas are presented graphically, numerically, symbolically, and verbally. This means the book caters to a wide range of learning styles.
  • New Strengthen Your Understanding problems at the end of every section ask you to reflect on what you have learned.
  • Drill Exercises help build your skill and confidence with calculus.
  • Updated data and models underscore the importance of mathematics in understanding the world’s economic and social problems, such as the current debate on Peak Oil Production.
Deborah Hughes-Hallett is Adjunct Professor of Public Policy and Professor of Mathematics at the University of Arizona. She has served on committees for the National Academy of Sciences and organised three international conferences on the teaching of mathematics. Her work has been recognised by prizes from Harvard, Arizona, the Association for Women in Mathematics, and the Mathematical Association of America.

William G. McCallum
University of Arizona

Andrew M. Gleason
Harvard University

Eric Connally
Harvard University Extension

Daniel E. Flath
Macalester College

Selin Kalaycıog ̆lu
New York University

Brigitte Lahme
Sonoma State University

Patti Frazer Lock
St. Lawrence University

David O. Lomen
University of Arizona

Otto K. Bretscher
Colby College

David Lovelock
University of Arizona

Guadalupe I. Lozano
University of Arizona

Jerry Morris
Sonoma State University

David Mumford
Brown University

Brad G. Osgood
Stanford University

Cody L. Patterson
University of Arizona

Douglas Quinney
University of Keele

Karen Rhea
University of Michigan

Adam H. Spiegler
Loyola University Chicago

Jeff Tecosky-Feldman
Haverford College

Thomas W. Tucker
Colgate University

David E. Sloane, MD
Harvard Medical School

with the assistance of Adrian Iovita
University of Washington

1. A Library of Functions
2. Key Concept: The Derivative
3. Short-cuts to Differentiation
4. Using the Derivative
5. Key Concept: The Definite Integral
6. Constructing Antiderivatives
7. Integration
8. Using the Definite Integral
9. Sequences and Series
10. Approximating Functions using Series
11. Differential Equations
12. Functiona of Several Variables
13. A Fundamental Tool: Vectors
14. Differentiating Functions of Several Variables
15. Optimization: Local and Global Extrema
16. Integrating Functions of Several Variables
17. Parameterization and Vector Fields
18. Line Integrals
19. Flux Integrals and Divergence
20. The Curl and Stokes’ Theorem
21. Parameters, Coordinates and Integrals
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E-Text: 9781118547854
E-Text + WileyPLUS: 9781119386445
Binder Version: 9781118231142
Binder Version + WileyPLUS: 9781118566565
Textbook: 9780470888612
Textbook + WileyPLUS: 9781118562406