Ordinary Differential Equations

Ordinary Differential Equations

AngličtinaPevná vazbaTisk na objednávku
Adkins William A.
Springer-Verlag New York Inc.
EAN: 9781461436171
Tisk na objednávku
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Podrobné informace

Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations.

Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.

EAN 9781461436171
ISBN 1461436176
Typ produktu Pevná vazba
Vydavatel Springer-Verlag New York Inc.
Datum vydání 1. července 2012
Stránky 799
Jazyk English
Rozměry 235 x 155
Země United States
Sekce Professional & Scholarly
Autoři Adkins William A.; Davidson Mark G.
Ilustrace XIII, 799 p. 121 illus.
Edice 2012 ed.
Série Undergraduate Texts in Mathematics