Advanced Calculus

Advanced Calculus

A Transition to Analysis

1st Edition - December 2, 2009

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  • Authors: Thomas Dence, Joseph Dence
  • eBook ISBN: 9780080959320
  • Hardcover ISBN: 9780123749550

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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 book
    outstanding feature is the collection of exercises in each chapter
  • Provides coverage of exponential function, and the development of trigonometric functions from the integral

Readership

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

Table of Contents

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

Product details

  • No. of pages: 392
  • Language: English
  • Copyright: © Academic Press 2009
  • Published: December 2, 2009
  • Imprint: Academic Press
  • eBook ISBN: 9780080959320
  • Hardcover ISBN: 9780123749550

About the Authors

Thomas Dence

Affiliations and Expertise

Ashland University, Ohio, U.S.A.

Joseph Dence

Affiliations and Expertise

University of Missouri, Columbia, U.S.A.

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