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Theory of Distributions
Taschenbuch von Svetlin G. Georgiev
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
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.
Zusammenfassung

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

Inhaltsverzeichnis
- Introduction. - Generalities on Distributions. - Differentiation. - Homogeneous Distributions. - The Direct Product of Distributions. - Convolutions. - Tempered Distributions. - Integral Transforms. - Fundamental Solutions. - Sobolev Spaces.
Details
Erscheinungsjahr: 2021
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
262 S.
ISBN-13: 9783030812645
ISBN-10: 3030812642
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Georgiev, Svetlin G.
Auflage: 2nd ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 235 x 155 x 16 mm
Von/Mit: Svetlin G. Georgiev
Erscheinungsdatum: 22.08.2021
Gewicht: 0,423 kg
Artikel-ID: 120220481
Über den Autor
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.
Zusammenfassung

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

Inhaltsverzeichnis
- Introduction. - Generalities on Distributions. - Differentiation. - Homogeneous Distributions. - The Direct Product of Distributions. - Convolutions. - Tempered Distributions. - Integral Transforms. - Fundamental Solutions. - Sobolev Spaces.
Details
Erscheinungsjahr: 2021
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
262 S.
ISBN-13: 9783030812645
ISBN-10: 3030812642
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Georgiev, Svetlin G.
Auflage: 2nd ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 235 x 155 x 16 mm
Von/Mit: Svetlin G. Georgiev
Erscheinungsdatum: 22.08.2021
Gewicht: 0,423 kg
Artikel-ID: 120220481
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