The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists. The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc.
- ISBN10 0444702482
- ISBN13 9780444702487
- Publish Date April 1988
- Publish Status Out of Print
- Out of Print 17 October 2009
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint Elsevier Science Ltd
- Format Hardcover
- Pages 246
- Language English