Advanced Calculus

A Transition to Analysis


  • Thomas Dence, Ashland University, Ohio, U.S.A.
  • Joseph Dence, University of Missouri, Columbia, U.S.A.

Designed for a one-semester advanced calculus course, 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.

Ancillary list:
* Companion website, Ebook-
* Student Solutions Manual- To come
* Instructors Solutions Manual- To come


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Advanced undergraduate and graduate students taking a course in advanced calculus.


Book information

  • Published: December 2009
  • ISBN: 978-0-12-374955-0

Table of Contents

Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; Differentiation; Integration; Commutation of Limit Operations; Appendices