Skip to main content
SpringerLink
Log in
Book cover

Much Ado About Calculus

A Modern Treatment with Applications Prepared for Use with the Computer

  • Textbook
  • © 1979

Overview

Authors:
  1. Robert L. Wilson

    1. Department of Mathematical Sciences, Ohio Wesleyan University, Delaware, USA

    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 (12 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Prologue

    • Robert L. Wilson
    Pages 1-84

  3. Integration

    • Robert L. Wilson
    Pages 85-145

  4. More About Integrals

    • Robert L. Wilson
    Pages 146-204

  5. Differentiation

    • Robert L. Wilson
    Pages 205-244

  6. The Interrelation of Integration and Differentiation

    • Robert L. Wilson
    Pages 245-329

  7. Techniques of Differentiation and Integration

    • Robert L. Wilson
    Pages 330-398

  8. Limits and Related Topics

    • Robert L. Wilson
    Pages 399-442

  9. Converting Data to Functions

    • Robert L. Wilson
    Pages 443-493

  10. Infinite Series

    • Robert L. Wilson
    Pages 494-562

  11. Numerical Methods

    • Robert L. Wilson
    Pages 563-600

  12. Differential Equations

    • Robert L. Wilson
    Pages 601-637

  13. Epilogue

    • Robert L. Wilson
    Pages 638-642

  14. Back Matter

    Pages 643-788
    Download chapter PDF
Back to top

Keywords

About this book

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century. With the recent development of the digital computer, the range of applications of mathematics, including the calculus, has increased greatly and now includes many disciplines that were formerly thought to be non­ quantitative. Some of the more traditional applications have been altered, by the presence of a computer, to an extent such that many problems hitherto felt to be intractable are now solvable. This book has been written as a reaction to events that have altered the applications of the calculus. The use of the computer is made possible at an early point, although the extent to which the computer is used in the course is subject to the decision of the instructor. Some less traditional applications are included in order to provide some insight into the breadth of problems that are now susceptible to mathematical solution. The Stieltjes integral is introduced to provide for easier transition from the stated problem to its mathematical formulation, and also to permit the use of functions like step functions in later courses (such as statistics) with relative ease. The course is designed to include all the background material ordinarily associa­ ted with the first course in the calculus, but it is also designed with the user in mind.

Authors and Affiliations

  • Department of Mathematical Sciences, Ohio Wesleyan University, Delaware, USA

    Robert L. Wilson

Bibliographic Information

  • Book Title: Much Ado About Calculus

  • Book Subtitle: A Modern Treatment with Applications Prepared for Use with the Computer

  • Authors: Robert L. Wilson

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4615-9644-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1979

  • Softcover ISBN: 978-1-4615-9646-2Published: 27 December 2012

  • eBook ISBN: 978-1-4615-9644-8Published: 09 March 2013

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XVII, 788

  • Topics: Difference and Functional Equations, Integral Equations

Publish with us

Policies and ethics

Back to top

Search

Navigation