Calculus: A Complete Course, 10th edition

Published by Pearson Canada (January 26, 2021) © 2022
  • Robert A. Adams
  • Christopher Essex

Title overview

Support your students learning with the ultimate Calculus guide that will allow them to practice their reasoning and practical skills.

Calculus: A Complete Course, 10th Edition is a high-end guide in the field with a well-earned reputation for its accuracy and mathematical rigour.

The textbook provides a reader-friendly language and high-end study material, suitable to deliver a standard semester course, as well as support your teaching of some of the unique topics and approaches in the landscape.

Offering a wide range of instructor's resources, this edition is the ideal teaching aid to support your students' learning and development of essential skills for their success in the course.

Hallmark features of this title

A wide range of exercises and examples varying in difficulty and nature.

  • The plethora of exercises and problems will support your students' development and help them build a comfortable level to practice as their skills and knowledge grow.
  • Highlighted definitions, theorems, and examples throughout the text help your students consolidate their knowledge.

Reader-friendly content and structure supports your students' understanding.

  • With its reader-friendly language, the textbook holds a reputation for outstanding accuracy and mathematical rigour.
  • The Book structure is set to build up knowledge from one idea to the next as the chapters progress.
  • Chapter review at the end of the chapters presents key ideas and exercises to further support student learning.

New to this Edition

Improvements and changes to the existing material throughout the book

  • Chapter 11 introduces a new concept of a metric space and its application to spherical trigonometry, including the concept of navigation on the surface of our spherical planet.
  • Chapter 11 also presents Einstein's theory of special relativity, the conclusions of which follow from the selection of a particular metric for measuring distance in four-dimensional space-time.
  • A new section on the introduction to the methods of the Calculus of Variations is included in Section 20.4.
  • A new introduction to the open-source programming language Python, in Appendix VI, which can replace Maple or Mathematica as a free computer algebra system.

Key features

Features of MyLab® Math for the 10th Edition

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An online homework and tutorial environment for your students as part of their learning experience.
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A series of exercises and assessments give your students the opportunity to self-test and consolidate their knowledge.
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Discover more about MyLab® Math.

Table of contents

Chapter P Preliminaries
  1. Limits and Continuity
  2. Differentiation
  3. Transcendental Functions
  4. More Applications of Differentiation
  5. Integration
  6. Techniques of Integration
  7. Applications of Integration
  8. Conics, Parametric Curves, and Polar Curves
  9. Sequence, Series, and Power Series
  10. Vectors and Coordinate Geometry in 3-Space
  11. Arc length, Metric Spaces, and Applications
  12. Vector Functions and Curves
  13. Partial Differentiation
  14. Applications of Partial Derivatives
  15. Multiple Integration
  16. Vector Fields
  17. Vector Calculus
  18. Differential Forms and Exterior Calculus
  19. Ordinary Differential Equations
  20. More Topics in Differential Equations

    21. Appendix 1 Complex Numbers

    Appendix 2 Complex Functions

    Appendix 3 Continuous Functions

    Appendix 4 The Riemann Integral

    Appendix 5 Doing Calculus with Maple

    Appendix 6 Doing Calculus with Python

Author bios

Robert Adams is an Emeritus Professor in the Mathematics Department at the University of British Columbia. He first joined UBC in 1966 after completing a Ph.D. in Mathematics at the University of Toronto. With a keen interest in computers, mathematical typesetting, and illustration, Professor Adams became the first Canadian author in 1984 to typeset his own textbooks using TeX on a personal computer.

Christopher Essex is a Professor in the Department of Applied Mathematics at the University of Western Ontario, an award-winning teacher and author. Dr. Essex did pioneering work on the thermodynamics of photon and neutrino radiation.

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