1. New results in potential theory2. Generalized potential theory solutions3. Applications in electromagnetics4. Applications in diffusion and acoustics5. New solutions in contact mechanics6. New solutions in fracture mechanics7. Singular integral equations

Met antwoordenboekjeI. Inleiding. Scherpe hoekenII. Goniometrische verhoudingen van andere dan scherpe hoekenIII. Hoofdwaarden en bijzondere waarden van de goniometrische verhoudingenIV. Algemeene formules voor willekeurige hoekenV. Goniometrische verhoudingenVI. Tafel van de goniometrische verhoudingen en hun logarithmenVII. Optellings-theorema'sVIII. Toepassingen van de optellingstheorema'sIX. Goniometrische VergelijkingenX. Uiterste WaardenXI. Rechthoekige driehoekenXII. Scheefhoekige driehoe...

1. Method of Power Series2. First Order3. Partial4. Cauchy Two Independent Variables5. Fundamental Solution7. Dirichlet and Neumann Problems12. Ticomi's Problem14. Fluid Dynamics

1. Random Walk and Partial Differential Equations2. First Order3. Classification4. Boundary Value5. Integral Transforms6. Integral Relations7. Green's Functions8. Variational and Other Methods9 Perturbation Methods10 Asymptotoc Methods

1. Examples2. Classification into Types Theory of Characteristics and Normal Form3. Questions of Uniqueness4. Questions of Existence5. Simple Tools from Functional Analysis Applied to Questions of Existence

1. Potentiale in belegungsfreien Aufpukten2. Potentialen in beliebigen Aufpunkten3. Harmonische Fuinktionen4. Differentialgleichungsproblemen der Potentialtheorie

I. The Force of GravityII. Fields of ForceIII. The PotentialIV. The Divergence TheoremV. Properties of Newtonian Potentials at Points of Free SpaceVI. Properties of Newtonian Potentials at Points Occupied by MassesVII. Potentials as Solutions of Laplace's Equation; ElectrostaticsVIII. Harmonic FunctionsIX. Electric Images; Green's FunctionX. Sequences of Harmonic FunctionsXI. Fundamental Existence TheoremsXII. The Logarithmic Potential

1. Fourier Series2. Introduction to Partial Differential Equations3. Boundary Value4. Cylinder and Sphere5. Eigen Functions and Eigen Values6. Problems of Radio

I. Existence of solutionsII. The linear equationIII. Oscillation theoremsIV. Solution in seriesV. Singularities of equationsVI. Contour integral solutionsVII. Legendre functionsVIII. Bessel functionsIX. Asymptotic series

I. Equations of the first order and degreeII. Integral curvesIII. Equations of higher degreeIV. Equations of the second and higher ordersV. Linear equationsVI. Solution in seriesExamplesSolutions

1. Dilogarithm2. Inverse Tangent Integral3. Generalized Inverse Tangent Integral4. Clausen's Integral5. Dilogarithm of Complex Argument6. Trilogarithm7. Higher Order Functions8. Integration9. Reference Data and Tables

A Course of Modern AnalysisAn introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functionsI. Complex NumbersII. The Theory of ConvergenceIII. Continuous Functions and Uniform ConvergenceIV. The Theory of Riemann IntegrationV. The fundamental properties of Analytic Functions; Taylor's Laurent's and Liouville's TheoremaVI. The Theory of Residues; application to the evaluation of Definite IntegralsVII. The expansion of...

1. Foundations Eigenvalues2. Mathieu Functions3. Spheroid Funtions

1. Grundlagen2. Mathieusche Funktionen3. Sphäroidfuntionen4. Anwendungen der Mathieuschen Funktionen und der Sphäroidfunktionen

1. History2. Analytic Properties3. Algebraic Properties4. Applications

1. Hypergeometrische Funktionen2. Kugelfunktionen3. Lineare homogene Differentialgleichungen4. Infinitares

1. Bernoulli2. Useful Methods3. Gamma Function4. Differential Equations5. Hypergeometric Functions6. OrthogonalFPolynomials7.Confluent Hypergeometric Functions8. Legendre Functions9. Bessel Functions10. Separating the Wave Equation11. Special Statistical Disytribution Functions12. Elliptic Function13. Numerical Aspects

I. Fundamentals of Set TheoryII. Metric SpacesIII. Normed Linear SpacesIV. Linear Operator Equations

I. Bessel FunctionsII. ApplicationsIII. Modified Bessel FunctionsIV. Definite IntegralsV. Asymptotic ExpansionVI. Bessel Functions of any real orderVII. Applications

I. The Transformation of Laplace's EquationII. The Solution of Laplace's Equation in Polar CoordinatesIII. The Legendre's Associated FunctionsIV. Spherical HarmonicsV. Spherical Harmonics of General TypeVI. Approximate Values of the Generalized Legendre's FunctionsVII. Representation of Functions by SeriesVIII. The Addition Theorems for General Legendre's FunctionsIX. The Zeros of Legendre's Functions and Associated FunctionsX. Harmonics for Spaces Bounded by Surfaces of RevolutionXI. Ellipsoida...