Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 / / G. Szegö, G. Polya

• Autore: Polya G.
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1951
• Descrizione fisica: 1 online resource (296 pages)
• Disciplina: 530.151
• Soggetto topico: Isoperimetric inequalities; Mathematical physics
• Soggetto non controllato: Approximation error; Approximation; Arc (geometry); Arithmetic mean; Axiom; Bessel function; Big O notation; Biharmonic equation; Boundary value problem; Bounded set (topological vector space); Calculation; Calculus of variations; Cartesian coordinate system; Coefficient; Complex number; Complex plane; Computation; Conformal map; Conjecture; Conservative vector field; Convex curve; Convex set; Cylinder (geometry); Degeneracy (mathematics); Differential equation; Differential geometry of surfaces; Dirichlet integral; Dirichlet problem; Dirichlet's principle; Dodecahedron; Eigenfunction; Eigenvalues and eigenvectors; Electrostatics; Elliptic integral; Equation; Equilateral triangle; Even and odd functions; Existence theorem; Explicit formulae (L-function); Exterior (topology); Fourier series; Function (mathematics); Gaussian curvature; Geometric progression; Harmonic function; Homogeneous coordinates; Hypotenuse; Intersection (set theory); Isoperimetric inequality; Isoperimetric problem; Linear function; Markov chain; Mathematical physics; Mathematical proof; Mathematician; Mathematics; Maxima and minima; Monotonic function; Numerical analysis; Parallelogram; Parametric equation; Partial derivative; Partial differential equation; Partial fraction decomposition; Periodic function; Poincaré conjecture; Point at infinity; Polar moment of inertia; Polyhedron; Polynomial; Potential theory; Power series; Projection (linear algebra); Proportionality (mathematics); Quadratic form; Quantity; Rectangle; Regular polygon; Rhombus; Riemann surface; Scientific notation; Semi-major and semi-minor axes; Series (mathematics); Sign (mathematics); Simply connected space; Special case; Spheroid; Stress functions; Summation; Symmetrization; Tetrahedron; Theorem; Three-dimensional space (mathematics); Trigonometric functions; Two-dimensional space; Unit sphere; Upper and lower bounds; Vanish at infinity; Variable (mathematics); Variational method (quantum mechanics)
• Persona (resp. second.): SzegöG.
• Nota di bibliografia: Bibliography.
• Nota di contenuto: Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. DEFINITIONS, METHODS AND RESULTS -- CHAPTER II. THE PRINCIPLES OP DIRICHLET AND THOMSON -- CHAPTER III. APPLICATIONS OP THE PRINCIPLES OP DIRICHLET AND THOMSON TO ESTIMATION OP THE CAPACITY -- CHAPTER IV. CIRCULAR PLATE CONDENSER -- CHAPTER V. TORSIONAL RIGIDITY AND PRINCIPAL FREQUENCY -- CHAPTER VI. NEARLY CIRCULAR AND NEARLY SPHERICAL DOMAINS -- CHAPTER VIII. ON ELLIPSOID AND LENS -- NOTE A. SURFACE-AREA AND DIRICHLET'S INTEGRAL -- NOTE B. ON CONTINUOUS SYMMETRIZATION -- NOTE C. ON SPHERICAL SYMMETRIZATION -- NOTE D. ON A GENERALIZATION OF DIRICHLET'S INTEGRAL -- NOTE E. HEAT-CONDUCTION ON A SURFACE -- NOTE F. ON MEMBRANES AND PLATES -- NOTE G. VIRTUAL MASS AND POLARIZATION -- TABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS -- BIBLIOGRAPHY -- LIST OF SYMBOLS
• Sommario/riassunto: The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.
• Titolo autorizzato: Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27
• ISBN: 1-4008-8266-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154747803321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 27.