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...

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

I. Introduction II. Linear Codes III. Cyclic CodesIV. Important Cyclic CodesV. Perfect Codes VI. Weight Enumeration

I. Unendliche ReihenII. Integral Rechnung III. Funktionen einer komplexen Veranderlichen AlgemeinerIV. Funktionen einer komplexen Veranderlichen SpeziellerV. Die Lage der Null stellenVI. PolynomeVII. Determinanten VIII. ZahlentheorieIX. Geometrie

1. Het hart van de exacte wetenschap2. (In)zien en bewijzen3. Geschiedenis van de axiomatische methode4. Redeneren over oneindigheid5. Recepten voor bewijsconstructie6. Bewijzen vinden en bewijzen verifiëren

I. Bessel before 1826II. The Bessel coefficientsIII. Bessel functionsIV. Differential equationsV. Miscellaneous properties of Bessel functionsVI. Integral representations of Bessel functionsVII. Asymptotic expansions of Bessel functionsVIII. Bessel functions of large orderIX. Polynomials associated with Bessel functionsX. Functions associated with Bessel functionsXI. Addition theoremsXII. Definite integralsXIII. Infinite integralsXIV. Multiple integralsXV. The zeros of Bessel functionsXVI. Neuma...

1. Introduction2. Families of Curves in the 1690's3. Orthogonal Trajectories4. Bernoulli5.Euler

I. Lineare AlgebraII. Lineare ProgrammierungIII. Ausgleichung nach kleinsten Quadraten und definite ProblemeIV. Nichtlineare AlgebraV. EigenwertproblemeVI. DifferentialgleichungenVII. Approximationen

I. Complex NumbersII. Complex FunctionsIII. Complex IntegrationIV. Infinite SequencesV. The Dirichlet ProblemVI. Multiple-Valued Functions