Last edition Elsevier Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: A Complete Course makes student comprehension a clear priority.
Previous Edition
ISBN 13: 9780321781079
Imprint: Pearson Education Limited
Language: English
Authors: Robert A. Adams
Pub Date: 01/2013
Pages: 750
Illus: Illustrated
Weight: 2,760.00 grams
Size: 229 x 279 mm
Product Type: Hardcover
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- • Calculus: A Complete Course is a clear, rigorous and highly respected text, praised for its use of complete and precise statements of theorems, its application of geometric reasoning, and its usefulness across the sciences.
- • The authors' sense of humour and love of the subject is present throughout the text, resulting in a thoroughly readable and appealing text.
- • Each chapter opens with a quotation and brief introduction, designed to ease students into the presented lesson.
- • New Gateway Application (Section 13.9) - A new calculus-based explanation of entropy in Statistical Mechanics and Information Theory.
- • New section 13.4 covers Lagrange Multipliers and the classification of extrema for functions with constraints and a review section 12.9 that includes Taylor's formula in terms of functions of n variables.
- • New and expanded examples and new and revised exercises.
- • New Chapter 17: Differential Forms and Exterior Calculus.
- Robert Adams joined the Mathematics Department at the University of British Columbia in 1966 after completing a Ph.D. in Mathematics at the University of Toronto. His research interests in analysis led to the 1975 publication of a monograph, Sobolev Spaces, by Academic Press. It remained in print for 23 years. A second edition, joint with his colleague Professor John Fournier, was published in 2003. Professor Adams's teaching interests led to the 1982 publication of the first of his many calculus texts by Addison Wesley. These texts are now used worldwide. With a keen interest in computers, mathematical typesetting, and illustration, in 1984 Professor Adams became the first Canadian author to typeset his own textbooks using TeX on a personal computer. Since then he has also done all the illustrations for his books using the MG software program that he developed with his colleague, Professor Robert Israel. Now retired from UBC, Professor Adams is currently pursuing his interest in the Linux operating system.
- Dr. Christopher Essex is Professor and Associate Chair in the Department of Applied Mathematics at the University of Western Ontario. He is a former director of its Theoretical Physics Program. He is an award-winning teacher and author. In 2012-13 Chris has become the first ever Phi Beta Kappa Visiting Scholar from a Canadian university. Dr. Essex did pioneering work on the thermodynamics of photon and neutrino radiation. Among many international invitations to speak on this topic, he has taught at the UNESCO advanced school in Udine, Italy, and in 2011 his work was featured at the Joint European Thermodynamics Conference held in Chemnitz, Germany. Professor Essex is also co-discoverer of the entropy production paradox of anomalous superdiffusion. He also discovered, while a guest of the Vatican, modern mathematics (Sierpinski triangles) embedded in the ancient floor tiles of the Sistine Chapel and elsewhere in the Vatican museum.
- Front Matter
- Chapter P: Preliminaries
- Chapter 1: Limits and Continuity
- Chapter 2: Differentiation
- Chapter 3: Transcendental Functions
- Chapter 4: More Applications of Derivatives
- Chapter 5: Integration
- Chapter 6: Techniques of Integration
- Chapter 7: Applications of Integration
- Chapter 8: Conics, Parametric Curves, and Polar Curves
- Chapter 9: Sequences, Series, and Power Series
- Chapter 10: Vectors and Coordinate Geometry in 3-Space
- Chapter 11: Vector Functions and Curves
- Chapter 12: Partial Differentiation
- Chapter 13: Applications of Partial Derivatives
- Chapter 14: Multiple Integration
- Chapter 15: Vector Fields
- Chapter 16: Vector Calculus
- Chapter 17: Differential Forms and Exterior Calculus (New Chapter)
- Chapter 18: Ordinary Differential Equations
- Appendix I: Complex Numbers
- Appendix II: Complex Functions
- Appendix III: Continuous Functions
- Appendix IV: The Riemann Integral
- Appendix V: Doing Calculus with Maple
- Answers to Odd Numbered Exercises
- Index
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