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Produktbild: Braga da Costa Campos, L: Transcendental Representations wit

Braga da Costa Campos, L: Transcendental Representations wit

Aus der Reihe Mathematics and Physics for Science and Technology

Fr. 299.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

04.04.2012

Abbildungen

3098 39 Tables, black and white 117 Illustrations, black and white

Verlag

Taylor and Francis

Seitenzahl

898

Maße (L/B/H)

26.4/17.9/6 cm

Gewicht

1700 g

Sprache

Englisch

ISBN

978-1-4398-3431-2

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

04.04.2012

Abbildungen

3098 39 Tables, black and white 117 Illustrations, black and white

Verlag

Taylor and Francis

Seitenzahl

898

Maße (L/B/H)

26.4/17.9/6 cm

Gewicht

1700 g

Sprache

Englisch

ISBN

978-1-4398-3431-2

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  • Produktbild: Braga da Costa Campos, L: Transcendental Representations wit
  • Sequences of Fractions or Products Power Series, Singularities, and Functions Series of Fractions for Meromorphic Functions (Mittag-Leffler 1876, 1884) Meromorphic Function as a Ratio of Two Integral Functions Factorization with Infinite Number of Zeros Infinite Products for Circular Functions Recurrence Formulas and Continued Fractions (Wallis 1656; Euler 1737) Optimal and Doubly Bounded Sharpening Approximations Transformation of Series and Products into Fractions (Euler 1785) Continued Fraction for the Ratio of Two Series (Lambert 1770) Conclusion Compressible and Rotational Flows Source, Sink, and Vortex in a Compressible Flow Potential Vortex with Rotational Core (Rankine; Hallock and Burnham 1997) Minimum Energy (Thomson 1849) and Intrinsic Equations of Motion Laplace/Poisson Equations in Complex Conjugate Coordinates Second Forces/Moment and Circle Theorems Cylinder in a Unidirectional Shear Flow Monopole Interactions and Equilibrium Positions Cylinder in a Stream with Two Trailing Monopoles (Foppl 1913) Reciprocity Theorem (Green 1828) and Path Function (Routh 1881) Conclusion Exponential and Logarithmic Functions Derivation Property, Series, and Rational Limit Continued Fractions and Computation of the Number e Transformation of Sums to Products and Powers Limits, Period, and Absence of Zeros Logarithm as the Function Inverse to Exponential Series Expansions and Continued Fractions Exponential and Logarithm with Complex Base Tables of Natural (Napier 1614) and Decimal (Briggs 1624) Logarithms Gaussian and Related Hypergeometric Functions Conclusion Plane Elasticity and Multiharmonic Functions Displacement Vector and Deformation and Strain Tensors Stress Vector, Tensor, and Function Elastic Energy and Moduli of a Material (Hooke 1678; Poisson 1829a; Lame 1852) Momentum Equation for Isotropic Elasticity Cavities and Static and Rotating Cylinders Multiharmonic Equation and Fluid Loading on a Dam Forces and Moments on a Wedge Elastic Potential and Stresses in an Infinite Medium Driven Loaded Wheel with Traction or Braking Conclusion Circular and Hyperbolic Functions Sine/Cosine Representations on the Ellipse/Hyperbola Secant, Cosecant, Tangent, and Cotangent Formulas of Addition of Several Variables Formulas for Multiple, Double, and Half Variable Powers, Products, and Sums of the Functions Chebychev (1859) Polynomials of Two Kinds Orthogonal and Normalized Trigonometric Functions Relations between Complex and Real Functions Periods, Symmetries, Values, and Limits Conclusion Membranes, Capillarity, and Torsion Linear and Nonlinear Deflection of a Membrane Large Deflection of a Membrane by Weight or Pressure Boundary Condition with Surface Tension Wetting Angle and Capillary Rise Warping, Stress, and Displacement Functions Torsional Stiffness of a Multiply Connected Section Hollow Elliptical or Thin or Cut Cross Sections Torsion of Prisms with Triangular Cross Section (Saint-Venant 1885; Campos and Cunha 2010) Trajectories of Fluid Particles in a Rotating Vessel Conclusion Infinite and Cyclometric Representations Power Series and Euler (1755)/Bernoulli (1713) Numbers Branch Points and Branch Cuts for Cyclometric Functions Derivatives/Primitives of Direct/Inverse Functions Power Series for Cyclometric Functions Slopes at Zeros and Residues at Singularities Series of Fractions for Meromorphic Functions Relation with Factorization in Infinite Products Continued Fractions for Direct/Inverse Functions Gregory, Leibnitz, Brouncker, and Wallis Quadratures Summary Confined and Unsteady Flows Cylinder Moving in Large Cavity Two Cylinders in Relative Motion Eccentric, Biconcave/Biconvex, and Semi-Recessed Cylinders Ramp/Step in a Wall and Thick Pointed/Blunt Plate Channel with Contraction/Expansion and a Thick Plate Flat Plate with Partially Separated Flow Airfoil with Plain/Slotted Flap/Slat Flow Past Tandem Airfoils and Cascades Instability of a Plane Vortex Sheet (Helmholtz 1868; Kelvin 1871) Conclusion Infinite Processes and Summability Bounds for Integrals of Monotonic Functions Genus of an Infinite Canonical Product (Weierstrass 1876) Convergent and Periodic Continued Fractions Derangement of Conditionally Convergent Series Summation of Series of Rational Functions Extension of Convergence to Summability (Euler 1755; Cesaro 1890) Cardinals of Enumerable, Continuum, and Discontinuous (Cantor 1874, 1878) Transfinite Cardinal and Ordinal Numbers (Cantor 1883a,b; Hardy 1903) Three Antinomies and the Axiom of Selection (Burali-Forti 1897; Russell 1903; Zermelo 1908) Conclusion Twenty Examples Examples 10.1 through 10.20 Conclusion Bibliography Index