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

complete jaargang

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

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...

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

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

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

Handbook of Elliptic Integrals for Engineers and Physicists

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 ...

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

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

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

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

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

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

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

Proefschrift1. Introduction2. Background and research questions3. Methodology and subjects4. A historical phenomenology5. Exploratory interviews and a didactical phenomenology6. Designing a hypothetical learning trajectory for grade 77. Testing the hypothetical learning trajectory in grade 78. Diagrammatic reasoning with the 'bump'9. Diagrammatic reasoning about growing samples10. Conclusions and discussion

This text/courseware package presents a new approach to teaching first-order logic. Taking advantage of Tarski's World 4.0 the text skilfully balances the semantic conception of logic with methods of proof. The book contains eleven chapters in four parts. Part I is about propositional logic Part II about quantifier logic. Part III contains chapters on set theory and inductive definitions. Part IV contains advanced topics in logic including topics of importance in applications of logic in compute...