Methods of Mathematical Economics

Linear and Nonlinear Programming, Fixed-Point Theorems

  • Joel Franklin

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Joel Franklin
    Pages 1-176
  3. Joel Franklin
    Pages 177-223
  4. Joel Franklin
    Pages 224-292
  5. Back Matter
    Pages 293-299

About this book

Introduction

In 1924 the firm of Julius Springer published the first volume of Methods of Mathematical Physics by Richard Courant and David Hilbert. In the preface, Courant says this: Since the seventeenth century, physical intuition has served as a vital source for mathematical problems and methods. Recent trends and fashions have, however, weakened the connection between mathematics and physics; mathematicians, turning away from the roots of mathematics in intuition, have concentrated on refinement and emphasized the postulational side of mathematics, and at times have overlooked the unity of their science with physics and other fields. In many cases, physicists have ceased to appreciate the attitudes of mathematicians. This rift is unquestionably a serious threat to science as a whole; the broad stream of scientific development may split into smaller and smaller rivulets and dry out. It seems therefore important to direct our efforts toward reuniting divergent trends by clarifying the common features and interconnections of many distinct and diverse scientific facts. Only thus can the student attain some mastery of the material and the basis be prepared for further organic development of research. The present work is designed to serve this purpose for the field of mathe­ matical physics . . . . Completeness is not attempted, but it is hoped that access to a rich and important field will be facilitated by the book. When I was a student, the book of Courant and Hilbert was my bible.

Keywords

Linear Programming Mathematica Microsoft Access Volume boundary element method design development field fixed-point theorem linear optimization mathematical economics mathematical physics mathematics nonlinear optimization programming

Authors and affiliations

  • Joel Franklin
    • 1
  1. 1.Department of Applied MathematicsCalifornia Institute of TechnologyPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-25317-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1980
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-90481-6
  • Online ISBN 978-3-662-25317-5
  • Series Print ISSN 0172-6056
  • About this book
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