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Computer-Supported Calculus

  • Adi Ben-Israel
  • Robert Gilbert

Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Functions, limits, and continuity

    1. Front Matter
      Pages 1-1
    2. Adi Ben-Israel, Robert Gilbert
      Pages 2-42
    3. Adi Ben-Israel, Robert Gilbert
      Pages 43-62
    4. Adi Ben-Israel, Robert Gilbert
      Pages 63-103
  3. Derivatives

    1. Front Matter
      Pages 105-105
    2. Adi Ben-Israel, Robert Gilbert
      Pages 106-147
    3. Adi Ben-Israel, Robert Gilbert
      Pages 148-178
    4. Adi Ben-Israel, Robert Gilbert
      Pages 179-223
    5. Adi Ben-Israel, Robert Gilbert
      Pages 224-278
  4. Integrals

    1. Front Matter
      Pages 279-279
    2. Adi Ben-Israel, Robert Gilbert
      Pages 280-321
    3. Adi Ben-Israel, Robert Gilbert
      Pages 322-343
    4. Adi Ben-Israel, Robert Gilbert
      Pages 344-383
    5. Adi Ben-Israel, Robert Gilbert
      Pages 384-425
  5. Series and approximations

    1. Front Matter
      Pages 427-427
    2. Adi Ben-Israel, Robert Gilbert
      Pages 428-459
    3. Adi Ben-Israel, Robert Gilbert
      Pages 460-499
  6. Back Matter
    Pages 501-612

About this book

Introduction

This is a new type of calculus book: Students who master this text will be well versed in calculus and, in addition, possess a useful working knowledge of one of the most important mathematical software systems, namely, MACSYMA. This will equip them with the mathematical competence they need for science and engi­ neering and the competitive workplace. The choice of MACSYMA is not essential for the didactic goal of the book. In fact, any of the other major mathematical software systems, e. g. , AXIOM, MATHEMATICA, MAPLE, DERIVE, or REDUCE, could have been taken for the examples and for acquiring the skill in using these systems for doing mathematics on computers. The symbolic and numerical calcu­ lations described in this book will be easily performed in any of these systems by slight modification of the syntax as soon as the student understands and masters the MACSYMA examples in this book. What is important, however, is that the student gets all the information necessary to design and execute the calculations in at least one concrete implementation language as this is done in this book and also that the use of the mathematical software system is completely integrated with the text. In these times of globalization, firms which are unable to hire adequately trained technology experts will not prosper. For corporations which depend heavily on sci­ ence and engineering, remaining competitive in the global economy will require hiring employees having had a traditionally rigorous mathematical education.

Keywords

Fundamental theorem of calculus Integralrechnung Macsyma Maple Mathematica algorithm algorithms approximation calculus derivative differential equation geometry linear optimization mathematics mean value theorem

Authors and affiliations

  • Adi Ben-Israel
    • 1
  • Robert Gilbert
    • 2
  1. 1.Rutgers Center for Operations Research and Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of Mathematical Science and Computer and Informational SciencesUniversity of DelawareNewarkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-6146-3
  • Copyright Information Springer-Verlag/Wien 2002
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7091-7230-8
  • Online ISBN 978-3-7091-6146-3
  • Series Print ISSN 0943-853X
  • Buy this book on publisher's site
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