Hilbert Space Methods In Partial Differential Equations (Dover Books On Mathematics)

Hilbert Space Methods In Partial Differential Equations (Dover Books On Mathematics)

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This Text Surveys The Principal Methods Of Solving Partial Differential Equations. Suitable For Graduate Students Of Mathematics, Engineering, And Physical Sciences, It Requires Knowledge Of Advanced Calculus.The Initial Chapter Contains An Elementary Presentation Of Hilbert Space Theory That Provides Sufficient Background For Understanding The Rest Of The Book. Succeeding Chapters Introduce Distributions And Sobolev Spaces And Examine Boundary Value Problems, First And Secondorder Evolution Equations, Implicit Evolution Equations, And Topics Related To Optimization And Approximation. The Text, Which Features 40 Examples And 200 Exercises, Concludes With Suggested Readings And A Bibliography.

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Frequently Asked Questions

  • Q: What is the main focus of 'Hilbert Space Methods in Partial Differential Equations'? A: The book primarily surveys the key methods for solving partial differential equations, making it suitable for graduate students in mathematics, engineering, and physical sciences.
  • Q: Who is the author of the book? A: The author of 'Hilbert Space Methods in Partial Differential Equations' is Ralph E. Showalter.
  • Q: What topics are covered in this book? A: The book covers Hilbert space theory, distributions, Sobolev spaces, boundary value problems, evolution equations, and topics related to optimization and approximation.
  • Q: What level of knowledge is required to understand the content? A: A background in advanced calculus is required to fully grasp the concepts presented in the text.
  • Q: How many pages does the book contain? A: The book contains 224 pages.
  • Q: Is this book suitable for self-study? A: Yes, the book includes 40 examples and 200 exercises, making it suitable for self-study as well as classroom use.
  • Q: What edition of the book is available? A: The available edition of the book is the First Edition, published on March 18, 2010.
  • Q: What type of binding does this book have? A: The book is available in a paperback binding.
  • Q: In what condition is the book being sold? A: The book is listed as being in 'Very Good' condition.
  • Q: Are there any suggested readings included in the book? A: Yes, the text concludes with suggested readings and a bibliography for further exploration of the topics.