Skip to main content
SpringerLink
Log in

Aspects of Calculus

  • Textbook
  • © 1986

Overview

Authors:
  1. Gabriel Klambauer

    1. Department of Mathematics, University of Ottawa, Ottawa, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Undergraduate Texts in Mathematics (UTM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. The Logarithmic and Exponential Functions

    • Gabriel Klambauer
    Pages 1-48

  3. Limits and Continuity

    • Gabriel Klambauer
    Pages 49-101

  4. Differentiation

    • Gabriel Klambauer
    Pages 102-150

  5. Applications of Differentiation

    • Gabriel Klambauer
    Pages 151-245

  6. Integration

    • Gabriel Klambauer
    Pages 246-308

  7. Additional Topics in Integration

    • Gabriel Klambauer
    Pages 309-378

  8. Infinite Series

    • Gabriel Klambauer
    Pages 379-511

  9. Back Matter

    Pages 512-516
    Download chapter PDF
Back to top

Keywords

About this book

This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a more creative use of information. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis. In addition, this book may also be of interest to those preparing to teach a course in calculus. Instead of exposing the reader to an excess of premature abstractions that so easily can degenerate into pedantry, I felt it more useful to stress instruc­ tive and stimulating examples. The book contains numerous worked out examples and many of the exercises are provided with helpful hints or a solution in outline. For further exercises the interested reader may want to consult a problem book by the author entitled Problems and Propositions in Analysis (New York: Marcel Dekker, 1979). For the history of calculus I recommend the book by C. B. Boyer, The Concepts of the Calculus (New York: Dover, 1949).

Authors and Affiliations

  • Department of Mathematics, University of Ottawa, Ottawa, Canada

    Gabriel Klambauer

Bibliographic Information

  • Book Title: Aspects of Calculus

  • Authors: Gabriel Klambauer

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-9561-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1986

  • Softcover ISBN: 978-1-4613-9563-8Published: 21 December 2011

  • eBook ISBN: 978-1-4613-9561-4Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: X, 516

  • Topics: Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation