Isoperimetric Inequalities in Mathematical Physics

by George Polya, G. Szegö

Overview

Pólya and Szegö’s classic treatment of isoperimetric inequalities in mathematical physics from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

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Product Details

ISBN-13:	9780691079882
Publisher:	Princeton University Press
Publication date:	08/21/1951
Series:	Annals of Mathematics Studies , #27
Pages:	279
Product dimensions:	8.25(w) x 11.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• TABLE OF CONTENTS, pg. xi
• CHAPTER I. DEFINITIONS, METHODS AND RESULTS, pg. 1
• CHAPTER II. THE PRINCIPLES OP DIRICHLET AND THOMSON, pg. 42
• CHAPTER III. APPLICATIONS OP THE PRINCIPLES OP DIRICHLET AND THOMSON TO ESTIMATION OP THE CAPACITY, pg. 63
• CHAPTER IV. CIRCULAR PLATE CONDENSER, pg. 79
• CHAPTER V. TORSIONAL RIGIDITY AND PRINCIPAL FREQUENCY, pg. 87
• CHAPTER VI. NEARLY CIRCULAR AND NEARLY SPHERICAL DOMAINS, pg. 127
• CHAPTER VIII. ON ELLIPSOID AND LENS, pg. 171
• NOTE A. SURFACE-AREA AND DIRICHLET’S INTEGRAL, pg. 182
• NOTE B. ON CONTINUOUS SYMMETRIZATION, pg. 200
• NOTE C. ON SPHERICAL SYMMETRIZATION, pg. 205
• NOTE D. ON A GENERALIZATION OF DIRICHLET’S INTEGRAL, pg. 211
• NOTE E. HEAT-CONDUCTION ON A SURFACE, pg. 217
• NOTE F. ON MEMBRANES AND PLATES, pg. 230
• NOTE G. VIRTUAL MASS AND POLARIZATION, pg. 239
• TABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS, pg. 247
• BIBLIOGRAPHY, pg. 275
• LIST OF SYMBOLS, pg. 278