Advanced Calculus,
Edition 1 A Transition to Analysis
By Thomas P. Dence and Joseph B. Dence

Publication Date: 28 Dec 2009
Description

Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts.

The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral.

The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.

Key Features

  • Appropriate rigor for a one-semester advanced calculus course
  • Presents modern materials and nontraditional ways of stating and proving some results
  • Includes precise historical notes throughout the bookoutstanding feature is the collection of exercises in each chapter
  • Provides coverage of exponential function, and the development of trigonometric functions from the integral
About the author
By Thomas P. Dence, Ashland University, Ohio, U.S.A. and Joseph B. Dence, University of Missouri, Columbia, U.S.A.
Book details
ISBN: 9780123749550
Page Count: 392
Retail Price : £75.99
Richardson: Advanced Calculus: An Introduction to Linear Analysis, ISBN: 9780470232880, Wiley, 4/2008, $116.95, 388 pp, Hardcover Kaplan: Advanced Calculus, 5e, ISBN: 9780201799378, Addison Wesley (Pearson), 8/2002, $73.33, 736 pp, Softcover Fitzpatrick: Advanced Calculus 2e, ISBN: 9780534376031, Brooks Cole (Cengage), 7/2005, $157.95, 620pp, Hardcover
Instructor Resources
Audience
Advanced undergraduate and graduate students taking a course in advanced calculus.