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...

Part I. Analytic Function Theory1. The Complex Number Plane2. Functions of a Complex Variable3. Integration in the Complex Plane4. Sequences and Series5. Residue CalculusPart II. Applications of Analytic Function Theory6. Potential Theory7. Ordinary Differential Equations8. Fourier Transforms9. Laplace Transforms10. Asymptotic Expansions

1. Concept and Topology2. Funktions on Riemann Surfaces

I. Harmonic FunctionsII. Analytic FunctionsIII. The Complex Integral CalculusIV. Families of Analytic FunctionsV. Conformal Mapping of Simply-Connected DomainsVI. Mapping Properties of Special FunctionsVII. Conformal Mapping of Multiply-Connected Domains

I. Gamma FunctionII. Hypergeometric FunctionIII. Bessel FunctionIV. Legender FunctionV. Orthogonal PolynomialsVI. Kummer's FunctionVII. Whittaker Function

Das Buch das Sie erwähnen ist Lamésche Mathieusche und verwandte Funktionen in Physik und Technik von M. Strutt. Es handelt sich um eine Veröffentlichung aus der Reihe Ergebnisse der Mathematik und ihrer Grenzgebiete . Das Buch befasst sich mit der Anwendung dieser speziellen Funktionen in der Physik und Technik.

I. General introductionII. The Fourier integral as basis of the operational calculusIII. Elementary operational imagesIV. Elementary rulesV. The delta or impulse functionVI. Questions concerning the convergence of the definition integralVII. Asymptotic relations and operational transposition of seriesVIII. Linear differential equations with constant coefficientsIX. Simultaneous linear differential equations with constant coefficients; electric-circuit theoryX. Linear differential equations with ...

I. IntroductionII. Hypergeometric FunctionsIII. Legendre FunctionsIV. Bessel FunctionV. Hermite LaguerreVI. Dirac Delta Function

I. Ordinary linear differential equations with constant coefficientsII. Electric circuit theoryIII. Dynamical applicationsIV. The inversion theorem for the Laplace transformation and its applications to ordinary linear differential equations with constant coefficientsV. Laplace transform method in the solution of linear partial differential equationsVI. Conduction of heatVII. Vibrations of continuous mechanical systemsVIII. HydrodynamicsIX. Electric transmission linesX. Electric wave and diffusi...

ProefschriftI InleidingII De Duytsche Mathematiue in Leiden 1600–1681III De Fundati van Renswoude in Utrecht 1756–1810IV De HBS in Nederland 1863–1900V Lessen voor de 21e eeuw

Proefschrift over Frans van Schooten

I. Linear TransformationsII. Algebraic FunctionsIII. Log FunctionsIV. Schwartz Christoffel TransformationsV. Higher trancedental Functions

Handbook of Elliptic Integrals for Engineers and Physicists

I. The Laplace TransformII. The Fourier TransformIII. Other Important TransformsIV. Special Techniques

I. The Sample SpaceII. Elements of Combinatorial AnalysisIII. Fluctuations in Coin Tossing and Random WalksIV. Combination of EventsV. Conditional Probability. Stochastic IndependenceVI. The Binomial and the Poisson DistributionsVII. The Normal Approximation to the Binomial DistributionVIII. Unlimited Sequences of Bernoulli TrialsIX. Random Variables; ExpectationX. Laws of Large NumbersXI. Integral Valued Variables. Generating FunctionsXII. Compound Distributions. Branching ProcessesXIII. Recurr...

I. Definitions and Fundamental Operations of MatricesII. Definition and Properties of DeterminantsIII. Adjugate and Reciprocal Matrix: Solution of Simultaneous Equations: Rank and Linear DependenceIV. Cauchy and Laplace Expansions: Multiplication TheoremsV. Compound Matrices and Determinants: Dual TheoremsVI. Special Determinants: Alternant Persymmetric Bigradient Centrosymmetic Jacobian Hessian Wronskian

1. Gauss2. Frankreich und die École Polytechnique in den ersten Jahrzehnten des 19. Jahrhunderts3. Die Gründung des Crelleschen Journals und das Aufblühen der reinen Mathematik in Deutschland4. Die Entwicklung der algebraischen Geometrie über Moebius Plücker und Steiner hinaus5. Mechanik und mathematische Physik in Deutschland und England bis etwa 18806. Die allgemeine Funktionentheorie komplexer Veränderlicher bei Riemann und Weierstrass7. Vertiefte Einsicht in das Wesen der algebraischen...