Introduction to Partial Differential Equations with Applications [NOOK Book]

Overview



This book has been widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics, engineering and the physical sciences.
The book begins with a short ...

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Introduction to Partial Differential Equations with Applications

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Overview



This book has been widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics, engineering and the physical sciences.
The book begins with a short review of calculus and ordinary differential equations, then moves on to explore integral curves and surfaces of vector fields, quasi-linear and linear equations of first order, series solutions and the Cauchy Kovalevsky theorem. It then delves into linear partial differential equations, examines the Laplace, wave and heat equations, and concludes with a brief treatment of hyperbolic systems of equations.
Among the most important features of the text are the challenging problems at the end of each section which require a wide variety of responses from students, from providing details of the derivation of an item presented to solving specific problems associated with partial differential equations. Requiring only a modest mathematical background, the text will be indispensable to those who need to use partial differential equations in solving physical problems. It will provide as well the mathematical fundamentals for those who intend to pursue the study of more advanced topics, including modern theory.

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Product Details

  • ISBN-13: 9780486132174
  • Publisher: Dover Publications
  • Publication date: 3/23/2012
  • Series: Dover Books on Mathematics
  • Sold by: Barnes & Noble
  • Format: eBook
  • Pages: 432
  • File size: 15 MB
  • Note: This product may take a few minutes to download.

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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted December 15, 2014

    Equation 1.1 is missing a single right parenthesis. Easy to fix

    Equation 1.1 is missing a single right parenthesis. Easy to fix in a Nook book. Should be fixed before 1st printing of paper version.

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