Description
Theory of Distributions (2nd Ed., 2nd ed. 2021)
Author: Georgiev Svetlin G.
Language: EnglishSubject for Theory of Distributions:
Publication date: 08-2021
262 p. · 15.5x23.5 cm · Paperback
262 p. · 15.5x23.5 cm · Paperback
Description
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This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This second edition, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.
- Introduction. - Generalities on Distributions. - Differentiation. - Homogeneous Distributions. - The Direct Product of Distributions. - Convolutions. - Tempered Distributions. - Integral Transforms. - Fundamental Solutions. - Sobolev Spaces.
Svetlin G. Georgiev (born 1974, Bulgaria) has worked in various areas of mathematics. His current focus: harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, dynamic calculus on time scales.
Helps the reader to understand theory of distributions help students with many examples
Solved problems problems with hints and problems with examples
Detailed proofs of the basic facts
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