Theory of Distributions
Details
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.
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
Autorentext
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.
Inhalt
- Introduction. - Generalities on Distributions. - Differentiation. - Homogeneous Distributions. - The Direct Product of Distributions. - Convolutions. - Tempered Distributions. - Integral Transforms. - Fundamental Solutions. - Sobolev Spaces.
 
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783030812645
 - Lesemotiv Verstehen
 - Genre Maths
 - Auflage 2nd edition 2021
 - Anzahl Seiten 276
 - Herausgeber Springer International Publishing
 - Größe H235mm x B155mm x T16mm
 - Jahr 2021
 - EAN 9783030812645
 - Format Kartonierter Einband
 - ISBN 3030812642
 - Veröffentlichung 22.08.2021
 - Titel Theory of Distributions
 - Autor Svetlin G. Georgiev
 - Gewicht 423g
 - Sprache Englisch