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Table of contents

  1. Front Matter
    Pages 1-12
  2. John Todd
    Pages 33-45
  3. John Todd
    Pages 46-54
  4. John Todd
    Pages 73-83
  5. John Todd
    Pages 84-96
  6. John Todd
    Pages 97-117
  7. Back Matter
    Pages 141-253

About this book

Introduction

There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.

Keywords

Calc Volume addition approximation boundary element method calculus difference equation differential equation education equation field functions interpolation linear algebra numerical analysis

Authors and affiliations

  • John Todd
    • 1
  1. 1.California Institute of TechnologyUSA

Bibliographic information