Laplace Transforms And Their Applications To Differential Equations By N W Mclachlan Pdf


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Laplace Transforms and Their Applications to Differential Equations


Laplace Transforms and Their Applications to Differential Equations

Author: N.W. McLachlan

language: en

Publisher: Courier Corporation

Release Date: 2014-11-19


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This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading. Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment of mathematical relationships, derivation of Laplace transforms of various functions, the Laplace transform for a finite interval, and other subjects. Many problems and illustrative examples appear throughout the book, which is further augmented by helpful Appendixes. Dover (2014) republication of the 1962 (Dover) revised edition of Modern Operational Calculus with Applications in Technical Mathematics, Macmillan, London, 1948. See every Dover book in print at www.doverpublications.com

The Laplace Transform


The Laplace Transform

Author: Joel L. Schiff

language: en

Publisher:

Release Date: 2014-01-15


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Handbook of Ordinary Differential Equations


Handbook of Ordinary Differential Equations

Author: Andrei D. Polyanin

language: en

Publisher: CRC Press

Release Date: 2017-11-15


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The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.