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Theory of distributions[electronic r...

Georgiev, Svetlin G.

Theory of distributions[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.782
書名/作者:	Theory of distributions/ by Svetlin G. Georgiev.
作者:	Georgiev, Svetlin G.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	viii, 218 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Theory of distributions (Functional analysis)
標題:	Differential equations, Partial.
標題:	Mathematics.
標題:	Functional Analysis.
標題:	Ordinary Differential Equations.
標題:	Partial Differential Equations.
標題:	Fourier Analysis.
ISBN:	9783319195278 (electronic bk.)
ISBN:	9783319195261 (paper)
內容註:	1 Introduction -- 2 Generalities on distributions -- 3 Differentiation -- 4 Homogeneous distributions -- 5 Direct product of distributions -- 6 Convolutions -- 7 Tempered distributions -- 8 Integral transforms -- 9 Fundamental solutions -- 10 Sobolev spaces.
摘要、提要註:	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 book, 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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-19527-8

Theory of distributions[electronic resource] /
Georgiev, Svetlin G.

Theory of distributions[electronic resource] /by Svetlin G. Georgiev. - Cham :Springer International Publishing :2015. - viii, 218 p. :ill., digital ;24 cm.

1 Introduction -- 2 Generalities on distributions -- 3 Differentiation -- 4 Homogeneous distributions -- 5 Direct product of distributions -- 6 Convolutions -- 7 Tempered distributions -- 8 Integral transforms -- 9 Fundamental solutions -- 10 Sobolev spaces.

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 book, 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.

ISBN: 9783319195278 (electronic bk.)

Standard No.: 10.1007/978-3-319-19527-8doiSubjects--Topical Terms:

572208
Theory of distributions (Functional analysis)

LC Class. No.: QA324

Dewey Class. No.: 515.782

Theory of distributions[electronic resource] /
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245 1 0 $a Theory of distributions $h [electronic resource] / $c by Svetlin G. Georgiev.
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300 $a viii, 218 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1 Introduction -- 2 Generalities on distributions -- 3 Differentiation -- 4 Homogeneous distributions -- 5 Direct product of distributions -- 6 Convolutions -- 7 Tempered distributions -- 8 Integral transforms -- 9 Fundamental solutions -- 10 Sobolev spaces.
520 $a 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 book, 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.
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650 0 $a Differential equations, Partial. $3 389324
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Functional Analysis. $3 464114
650 2 4 $a Ordinary Differential Equations. $3 465742
650 2 4 $a Partial Differential Equations. $3 464931
650 2 4 $a Fourier Analysis. $3 463928
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