Mathematical methods in engineering. An introduction to the mathematical treatment of engineering problems. (Q2586304)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mathematical methods in engineering. An introduction to the mathematical treatment of engineering problems. |
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Mathematical methods in engineering. An introduction to the mathematical treatment of engineering problems. (English)
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1940
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Verf. bringen in dieser Einführung in die mathematische Behandlung technischer Probleme die mathematischen Methoden in Verbindung mit ihrer praktischen Anwendung in den Gebieten der Aeronautik, Mechanik und Elektrotechnik. Besondere Aufmerksamkeit wurde den neueren Fortschritten der angewandten Mathematik gewidmet. Aus dem Inhalt: Gewöhnliche Differentialgleichungen. Besselsche Funktionen. Grundbegriffe und elementare Aufgaben der Dynamik. Oszillationen konservativer und nichtkonservativer Systeme. Die Differentialgleichungen der Strukturtheorie. Anwendungen Fourierscher Reihen auf Struktur-Probleme. Komplexe Darstellung periodischer Erscheinungen. Operatorenrechnung. Anwendungen der Differenzengleichungen. Anzeige des Buches in J. Aeronautic. Soc. 44 (1940), XXXI; ein ausführliches Referat ist in Bull. Am. Math. Soc. 48, No. 9, Part 1, 646--651 (1942) (\url{euclid.bams/1183504544}) erschienen.
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advanced engineering problems
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presentation of appropriate mathematical methods of solution
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ordinary differential equations
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numerical solutions
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Simpson's rule
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Bessel functions
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fundamental concepts of dynamics
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Lagrange's equations in generalized coordinates
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Newton's laws of motion
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principle of conservation of energy for a mechanically conservative system
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elliptic integrals
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motion of a pendulum
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singularities of first-order differential equations
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small oscillations of conservative systems
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Lagrange equations
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methods of finding real roots of algebraic equations
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Newton method
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Graeffe method
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iteration method
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small oscillations of non-conservative systems
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differential equations of various continuous structures
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strings
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beams
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harmonic vibration
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Fourier series
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Gibbs phenomenon
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Rayleigh-Ritz method
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Heaviside operational calculus
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Laplace transform
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Bromwich contour integral
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Carson's integral equation
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calculus of finite differences
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