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Advanced Mathematical Methods for Scientists and Engineers


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This book provides a clear presentation, practical and independent of the methods of asymptotics and interference theory to obtain analytic solutions to differential equations and difference estimates. This presentation aims to teach the most useful insight in the approach to new problems, it avoids the specific methods and tricks that work only for certain problems, such as traditional transcendental functions. The presentation begins with a review of differential equations and difference; develop local asymptotic methods for differential equations and difference; explain the disorder and the theory of summation, and concludes with an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple scale analysis.

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  • ISBN-10: 007004452X
  • ISBN-13: 9780070044524
  • Publisher: McGraw-Hill
  • Pages: 576
  • Date: November -1

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