Description
Book SynopsisRobert 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.
Table of ContentsChapter P Preliminaries
- Limits and Continuity
- Differentiation
- Transcendental Functions
- More Applications of Differentiation
- Integration
- Techniques of Integration
- Applications of Integration
- Conics, Parametric Curves, and Polar Curves
- Sequence, Series, and Power Series
- Vectors and Coordinate Geometry in 3-Space
- Arc length, Metric Spaces, and Applications
- Vector Functions and Curves
- Partial Differentiation
- Applications of Partial Derivatives
- Multiple Integration
- Vector Fields
- Vector Calculus
- Differential Forms and Exterior Calculus
- Ordinary Differential Equations
- More Topics in Differential Equations
- 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