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Calculus: A Complete Course / Calculus:Complete course student solutions manual
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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.
Dr. Christopher Essex joined Bob Adams as a new co-author on the 7th edition and has an expanded role in the 8th edition. Instructors and students will appreciate new and expanded examples, new exercises, and a new Chapter 17: Differential Forms and Exterior Calculus.
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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. Professor Essex held an NSERC (Natural Sciences and Engineering Research Council of Canada) postdoctoral fellowship at the Canadian Climate Centre to work on its big climate model. He was first appointed to the governing council of NSERC in 2006 and reappointed in 2009. His work also includes applications of dynamical systems theory, such as chaos cryptography, and recently the limits of modelling and computation, among other applications of mathematics.
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