06038nam 22016935 450 991015474780332120190708092533.01-4008-8266-410.1515/9781400882663(CKB)3710000000627306(MiAaPQ)EBC4738762(DE-B1597)468014(OCoLC)979581060(DE-B1597)9781400882663(EXLCZ)99371000000062730620190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 /G. Szegö, G. PolyaPrinceton, NJ : Princeton University Press, [2016]©19511 online resource (296 pages)Annals of Mathematics Studies ;3270-691-07988-9 Bibliography.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 SYMBOLSThe description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.Annals of mathematics studies ;no. 27.Isoperimetric inequalitiesMathematical physicsApproximation 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).Isoperimetric inequalities.Mathematical physics.530.151Polya G., 541705Szegö G., DE-B1597DE-B1597BOOK9910154747803321Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 272786239UNINA