Learn everything you need to know about Calculus and practice your reasoning and practical skills with a high-end textbook suitable for a wide range of course levels.

Calculus: A Complete Course, 10th Edition by Robert Adams and Christopher Essex is the ultimate guide written by two leading authors in the field that continues to build its solid core following the successful pattern of its previous editions.

With its reader-friendly language, the textbook holds a reputation for excellent accuracy and mathematical rigour, offering you study material suitable to cover a standard semester course, as well as high-end content that will help you further explore some of the unique topics and approaches in the landscape of Mathematics.

Adding important, but overlooked topics while clarifying old ones, this edition will help you develop and practice your reasoning skills and apply techniques you have learned to concrete situations. Some of the topics this edition explores include:

  • Sufficient conditions for maxima and minima in higher dimensions: this is the only mainstream textbook that covers the topic sufficiently.
  • The fuzzy topic of metrics: the text explores and addresses any issues and questions, leading to new gateway topics, including spherical geometry (as in navigation) and special relativity, which emerge rather effortlessly once the metric concept is in place properly.
  • Computers and mathematics through Maple and now Python: there is no other Calculus book that deals better with the topic while treating unique but important applications from information theory to Lévy distributions.

With a wide variety of exercises and useful features to support your learning, this unique edition continues to aspire to the definition of its subtitle of “A Complete Course.”

Also available with MyLab® Math

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If you would like to purchase both the physical text and MyLab® Math, search for:

9780135732595 Calculus: A Complete Course, 10th Edition plus MyLab Math with Pearson eText -- Access Card Package

Package consists of:

  • 9780135732588 Calculus: A Complete Course, 10th Edition
  • 9780135732526 Calculus: A Complete Course, 10th Edition MyLab® Math -- Standalone Access Card

MyLab® Math is not included. Students, if MyLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

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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
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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.

 

 

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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.
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Produktdetaljer

ISBN
9780135732588
Publisert
2021-05-01
Utgave
10. utgave
Utgiver
Vendor
Addison Wesley
Vekt
2683 gr
Høyde
280 mm
Bredde
218 mm
Dybde
48 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
1200

Biografisk notat

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.