A Complete Course
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Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sci...
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.
Chapter P: Preliminaries Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Transcendental Functions Chapter 4: More Applications of Differentiation Chapter 5:Integration Chapter 6:Techniques of Integration Chapter 7:Applications of Integration Chapter 8: Conics, Parametric Curves, and Polar Curves Chapter 9: Sequence, Series, and Power Series Chapter 10: Vectors and Coordinate Geometry in 3-Space Chapter 11: Arc length, Metric Spaces, and Applications Chapter 12: Vector Functions and Curves Chapter 13: Partial Differentiation Chapter 14: Applications of Partial Derivatives Chapter 15: Multiple Integration Chapter 16: Vector Fields Chapter 17: Vector Calculus Chapter 18: Differential Forms and Exterior Calculus Chapter 19: Ordinary Differential Equations Chapter 20: 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