Introductory Analysis - 1st Edition - ISBN: 9780080549422

Introductory Analysis

1st Edition

A Deeper View of Calculus

Authors: Richard Bagby
eBook ISBN: 9780080549422
Imprint: Academic Press
Published Date: 10th July 2000
Page Count: 201
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Description

Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.

Key Features

@bul:* Written in an engaging, conversational tone and readable style while softening the rigor and theory

  • Takes a realistic approach to the necessary and accessible level of abstraction for the secondary education students
  • A thorough concentration of basic topics of calculus
  • Features a student-friendly introduction to delta-epsilon arguments
  • Includes a limited use of abstract generalizations for easy use
  • Covers natural logarithms and exponential functions
  • Provides the computational techniques often encountered in basic calculus

Readership

Undergraduate secondary education and mathematics majors.

Table of Contents

The Real Number System. Continuous Functions. Limits. The Derivative. The Riemann Integral. Exponential and Logarithmic Functions. Curves and Arc Length. Sequences and Series of Functions. Additional Computational Methods.

Details

No. of pages:
201
Language:
English
Copyright:
© Academic Press 2001
Published:
Imprint:
Academic Press
eBook ISBN:
9780080549422

About the Author

Richard Bagby

Affiliations and Expertise

New Mexico State University, Las Cruses, U.S.A.

Reviews

@qu:"The author is an extremely good writer. His high level of enthusiasm for the subject matter and intimate knowledge of the subject is echoed throughout...." @source:--Professor Charles Waters, Mankato State University @qu:"This book is an elegant unified presentation of the basic concepts of calculus. The conversational style makes the book very readable, not only for mature students, but also for students who have only taken a basic calculus sequence....Students learn not only how to prove a theorem, they also gain an insight in the nature of a proof." @source:--Professor Jung H. Tsai, SUNY College at Geneseo