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6993 results in Mathematical modeling and methods

Page 348 of 350

  • PREFACE

    • By E.A.M., Queens' College Cambridge
  • E. A. Maxwell
  • Book:
    An Analytical Calculus
    Published online:
    05 March 2012
    Print publication:
    01 January 1957, pp xi-xii

  • Summary

    I would express my gratitude to my pupils T. H. Gossling, G. H. Mitchell, D. W. G. Moore and A. Robinson for help with the examples and for suggestions for improvements to the text—an example of the real inversion of normal functions.

    As the fourth volume brings this work to its completion, I record my very deep indebtedness to Dr Sheila M. Edmonds, of Newnham College, Cambridge, who read the whole manuscript most searchingly. Those who know her personally will realize how much trouble she has taken; others would believe it impossible. I am most grateful to her.

    I am very happy to say how much I appreciate the cheerful and inspiring help given by the staff of the Cambridge University Press over a number of years.

  • INTRODUCTION

  • E. A. Maxwell
  • Book:
    An Analytical Calculus
    Published online:
    05 March 2012
    Print publication:
    01 January 1957, pp xiii-xiv

  • Summary

    This volume, as originally planned, was intended to conclude the whole work with a review, chiefly in differential equations, of such standard theory of the calculus as could be exhibited without a detailed study of analysis. I soon found, however, that analytical requirements kept penetrating and could not be kept out without loss of intellectual honesty. The volume is therefore much longer than I intended, and includes, substantially, a whole freshman's course of analysis, and more in addition. Nevertheless, my aim remained to keep the exposition as simple as possible within clearly stated limitations.

    The theme of the volume is the differential equation and its solution; and it is hoped that the treatment shows how the processes of solution demand extended definitions of functions (for example, series and integrals) together with a technique (analysis) for studying and controlling their behaviour. The aim is not so much to elaborate the detailed properties of such fresh functions, as to instil methods which the student can apply or, better, adapt himself when faced later with the need for extending his mathematical vocabulary.

    The work is, in essence, familiar, but it ought perhaps to be remarked that there are a number of points where the details vary from standard practice.

Page 348 of 350