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. 

Table of Contents

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 CuNes, and Polar CuNes

9 Sequences, Series, and Power Series

10 Vectors and Coordinate Geometry in 3-Space

11 Arc length, Metric Spaces, and Applications

12 Vector Functions and CuNes

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

About the Authors

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.