Overview

This classic text has earned a reputation for excellent accuracy and mathematical rigourThe 10th edition continues in the pattern of the 8th and 9th editions, adding important, but overlooked, topics while clarifying old ones, and building on the solid core emplaced in prior editions. In the classical curriculum, differentials are defined as linear combinations of other differentials. But then later they are also asserted to be products of differentials, without explanation. This edition clarifies, connecting these new objects as they arise. Metrics are a rather fuzzy topic in most texts, leaving the questions that arc length implies hanging. The exploration of these questions leads to new gateway topics, including spherical geometry (as in navigation), and special relativity, which both emerge rather effortlessly once the metric concept is properly in place. The 10th edition is suitable for a semester course in differential equations, in addition to the existing standard material suitable for four semesters of calculus. Not only can it be used to deliver five standard courses of conventional material, it can do much more through some of the unique topics and approaches, which can be added or overlooked by the instructor without penalty. It explores computers and mathematics through Maple and now Python, as well as important applications from information theory to Levy distributions.

Full Product Details

Author:   Robert Adams ,  Christopher Essex ,  Christopher Essex
Publisher:   Pearson Education (US)
Imprint:   Addison Wesley
Edition:   10th edition
Dimensions:   Width: 21.80cm , Height: 4.80cm , Length: 28.00cm
Weight:   2.683kg
ISBN:  

9780135732588

ISBN 10:   0135732581
Pages:   1200
Publication Date:   01 May 2021
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

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

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Author Information

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.

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