Operational mathematics / Ruel V. Churchill.

Por: Churchill, Ruel V. (Ruel Vance), 1899-1987Editor: New York : McGraw-Hill, c1958Edición: 2nd ed., International student edDescripción: ix, 337 p. ; 21 cmTítulos uniformes: Modern operational mathematics in engineering Otra clasificación: 44-01 (34-01)
Contenidos:
 CONTENTS
Preface v
The Laplace Transformation [1]
Introduction. Definition of the Laplace Transformation.
Functions of Exponential Order.
Transforms of Derivatives.
 Examples.
The Gamma Function.
The Inverse Transform.
A Theorem on Substitution.
The Use of Partial Fractions.
The Solution of Simple Differential Equations.
Further Properties of the Transformation [23]
Translation of F(t).
Step Functions.
Integrals Containing a Parameter.
 Convolution.
Properties of Convolution.
Differential and Integral Equations.
Derivatives of Transforms.
Differential Equations with Variable Coefficients.
Integration of Transforms.
Periodic Functions.
Partial Fractions.
Repeated Linear Factors.
Quadratic Factors.
Tables of Operations and Transforms.
Elementary Applications [71]
Free Vibrations of a Mass on a Spring.
Forced Vibrations without Damping.
 Resonance.
Forced Vibrations with Damping.
A Vibration Absorber.
A Damped Absorber.
Electric Circuits.
Static Deflection of Beams.
Evaluation of Integrals.
Exponential- and Cosine-integral Functions.
The Tautochrone.
 Servomechanisms.
Mortality of Equipment.
Problems in Partial Differential Equations [108]
The Wave Equation.
Displacements in a Long String.
A Long String under its Weight.
The Long String Initially Displaced.
A Bar with a Prescribed Force on One End.
Equations of Diffusion.
Temperatures in a Semi-infinite Solid.
The Flux under Variable Surface Temperature.
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ANÁLISIS MATEMÁTICO III

COMPLEMENTOS DE ANÁLISIS MATEMÁTICO

CÁLCULO III

MATEMÁTICA AVANZADA

MATEMÁTICA ESPECIAL II


"Extensive revision of Modern operational mathematics in engineering, published in 1944."

CONTENTS --
Preface v --
The Laplace Transformation [1] --
Introduction. Definition of the Laplace Transformation. --
Functions of Exponential Order. --
Transforms of Derivatives. --
Examples. --
The Gamma Function. --
The Inverse Transform. --
A Theorem on Substitution. --
The Use of Partial Fractions. --
The Solution of Simple Differential Equations. --
Further Properties of the Transformation [23] --
Translation of F(t). --
Step Functions. --
Integrals Containing a Parameter. --
Convolution. --
Properties of Convolution. --
Differential and Integral Equations. --
Derivatives of Transforms. --
Differential Equations with Variable Coefficients. --
Integration of Transforms. --
Periodic Functions. --
Partial Fractions. --
Repeated Linear Factors. --
Quadratic Factors. --
Tables of Operations and Transforms. --
Elementary Applications [71] --
Free Vibrations of a Mass on a Spring. --
Forced Vibrations without Damping. --
Resonance. --
Forced Vibrations with Damping. --
A Vibration Absorber. --
A Damped Absorber. --
Electric Circuits. --
Static Deflection of Beams. --
Evaluation of Integrals. --
Exponential- and Cosine-integral Functions. --
The Tautochrone. --
Servomechanisms. --
Mortality of Equipment. --
Problems in Partial Differential Equations [108] --
The Wave Equation. --
Displacements in a Long String. --
A Long String under its Weight. --
The Long String Initially Displaced. --
A Bar with a Prescribed Force on One End. --
Equations of Diffusion. --
Temperatures in a Semi-infinite Solid. --
The Flux under Variable Surface Temperature. --

MR, 21 #7411

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