Ordinary And Partial Differential Equations For The Beginner

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A01=Laszlo Szekelyhidi
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Author_Laszlo Szekelyhidi
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Category1=Non-Fiction
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Language_English
Ordinary Differential Equations
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Partial Differential Equations
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Product details

  • ISBN 9789814723992
  • Publication Date: 14 Jul 2016
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Paperback
  • Language: English
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This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations.In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.