LEADER 06038nam 22016935 450 001 9910154747803321 005 20190708092533.0 010 $a1-4008-8266-4 024 7 $a10.1515/9781400882663 035 $a(CKB)3710000000627306 035 $a(MiAaPQ)EBC4738762 035 $a(DE-B1597)468014 035 $a(OCoLC)979581060 035 $a(DE-B1597)9781400882663 035 $a(EXLCZ)993710000000627306 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 /$fG. Szegö, G. Polya 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1951 215 $a1 online resource (296 pages) 225 0 $aAnnals of Mathematics Studies ;$v327 311 $a0-691-07988-9 320 $aBibliography. 327 $tFrontmatter -- $tPREFACE -- $tTABLE OF CONTENTS -- $tCHAPTER I. DEFINITIONS, METHODS AND RESULTS -- $tCHAPTER II. THE PRINCIPLES OP DIRICHLET AND THOMSON -- $tCHAPTER III. APPLICATIONS OP THE PRINCIPLES OP DIRICHLET AND THOMSON TO ESTIMATION OP THE CAPACITY -- $tCHAPTER IV. CIRCULAR PLATE CONDENSER -- $tCHAPTER V. TORSIONAL RIGIDITY AND PRINCIPAL FREQUENCY -- $tCHAPTER VI. NEARLY CIRCULAR AND NEARLY SPHERICAL DOMAINS -- $tCHAPTER VIII. ON ELLIPSOID AND LENS -- $tNOTE A. SURFACE-AREA AND DIRICHLET'S INTEGRAL -- $tNOTE B. ON CONTINUOUS SYMMETRIZATION -- $tNOTE C. ON SPHERICAL SYMMETRIZATION -- $tNOTE D. ON A GENERALIZATION OF DIRICHLET'S INTEGRAL -- $tNOTE E. HEAT-CONDUCTION ON A SURFACE -- $tNOTE F. ON MEMBRANES AND PLATES -- $tNOTE G. VIRTUAL MASS AND POLARIZATION -- $tTABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS -- $tBIBLIOGRAPHY -- $tLIST OF SYMBOLS 330 $aThe description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vno. 27. 606 $aIsoperimetric inequalities 606 $aMathematical physics 610 $aApproximation error. 610 $aApproximation. 610 $aArc (geometry). 610 $aArithmetic mean. 610 $aAxiom. 610 $aBessel function. 610 $aBig O notation. 610 $aBiharmonic equation. 610 $aBoundary value problem. 610 $aBounded set (topological vector space). 610 $aCalculation. 610 $aCalculus of variations. 610 $aCartesian coordinate system. 610 $aCoefficient. 610 $aComplex number. 610 $aComplex plane. 610 $aComputation. 610 $aConformal map. 610 $aConjecture. 610 $aConservative vector field. 610 $aConvex curve. 610 $aConvex set. 610 $aCylinder (geometry). 610 $aDegeneracy (mathematics). 610 $aDifferential equation. 610 $aDifferential geometry of surfaces. 610 $aDirichlet integral. 610 $aDirichlet problem. 610 $aDirichlet's principle. 610 $aDodecahedron. 610 $aEigenfunction. 610 $aEigenvalues and eigenvectors. 610 $aElectrostatics. 610 $aElliptic integral. 610 $aEquation. 610 $aEquilateral triangle. 610 $aEven and odd functions. 610 $aExistence theorem. 610 $aExplicit formulae (L-function). 610 $aExterior (topology). 610 $aFourier series. 610 $aFunction (mathematics). 610 $aGaussian curvature. 610 $aGeometric progression. 610 $aHarmonic function. 610 $aHomogeneous coordinates. 610 $aHypotenuse. 610 $aIntersection (set theory). 610 $aIsoperimetric inequality. 610 $aIsoperimetric problem. 610 $aLinear function. 610 $aMarkov chain. 610 $aMathematical physics. 610 $aMathematical proof. 610 $aMathematician. 610 $aMathematics. 610 $aMaxima and minima. 610 $aMonotonic function. 610 $aNumerical analysis. 610 $aParallelogram. 610 $aParametric equation. 610 $aPartial derivative. 610 $aPartial differential equation. 610 $aPartial fraction decomposition. 610 $aPeriodic function. 610 $aPoincaré conjecture. 610 $aPoint at infinity. 610 $aPolar moment of inertia. 610 $aPolyhedron. 610 $aPolynomial. 610 $aPotential theory. 610 $aPower series. 610 $aProjection (linear algebra). 610 $aProportionality (mathematics). 610 $aQuadratic form. 610 $aQuantity. 610 $aRectangle. 610 $aRegular polygon. 610 $aRhombus. 610 $aRiemann surface. 610 $aScientific notation. 610 $aSemi-major and semi-minor axes. 610 $aSeries (mathematics). 610 $aSign (mathematics). 610 $aSimply connected space. 610 $aSpecial case. 610 $aSpheroid. 610 $aStress functions. 610 $aSummation. 610 $aSymmetrization. 610 $aTetrahedron. 610 $aTheorem. 610 $aThree-dimensional space (mathematics). 610 $aTrigonometric functions. 610 $aTwo-dimensional space. 610 $aUnit sphere. 610 $aUpper and lower bounds. 610 $aVanish at infinity. 610 $aVariable (mathematics). 610 $aVariational method (quantum mechanics). 615 0$aIsoperimetric inequalities. 615 0$aMathematical physics. 676 $a530.151 700 $aPolya$b G., $0541705 702 $aSzegö$b G., 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154747803321 996 $aIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27$92786239 997 $aUNINA