UID:
almahu_9949462259702882
Umfang:
1 online resource (109 p.)
ISBN:
9783110298512
,
9783110238570
Serie:
De Gruyter Textbook
Inhalt:
The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added. It is suitable for a one-semester course at the advanced undergraduate or beginning graduate level or for self-study.
Anmerkung:
Frontmatter --
,
Preface --
,
Contents --
,
1 Introduction --
,
2 Definition and First Properties of Distributions --
,
3 Differentiating Distributions --
,
4 Multiplication and Convergence of Distributions --
,
5 Distributions with Compact Support --
,
6 Convolution of Distributions --
,
7 The Fourier Transform --
,
8 The Laplace Transform --
,
9 Summable Distributions --
,
10 Appendix --
,
11 Hints to the Exercises --
,
References --
,
Index --
,
Backmatter
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
Weitere Ausg.:
ISBN 9783110295917
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1515/9783110298512
URL:
https://doi.org/10.1515/9783110298512
URL:
https://www.degruyter.com/isbn/9783110298512
