Isoperimetric Inequalities in Mathematical Physics
1st Edition
Published on 20. June 2016
279 pages
978-1-4008-8266-3 (ISBN)
Description
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.
To mark the continued success of the series, all books are available in paperback and as ebooks.
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.
To mark the continued success of the series, all books are available in paperback and as ebooks.
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George Polya | G. Szegoe
Isoperimetric Inequalities in Mathematical Physics
Book
08/1951
Princeton University Press
€72.40
Shipment within 10-20 days
Persons
G. Pólya & G. Szegö
Content
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
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
