Overview
- Helps readers to understand the theory of distributions
- Presents a wide spectrum of contexts in which these ideas play an important role and where technical and formal aspects play a role
- Provides examples and exercises to clarify the main concepts
- Includes supplementary material: sn.pub/extras
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Table of contents (10 chapters)
Keywords
About this book
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.
Reviews
“Uniquely, this work by Georgiev (Univ. of Sofia, Bulgaria) reads stylistically like a brief, basic, but exotic calculus text, replete with concrete sample calculations. Many researchers found distributions quite alien when they made the scene 65 years ago, but with this book, today’s mathematics and physics undergraduate students may well come to regard them as quite routine. Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners.” (D. V. Feldman, Choice, Vol. 53 (10), June, 2016)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Theory of Distributions
Authors: Svetlin G. Georgiev
DOI: https://doi.org/10.1007/978-3-319-19527-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
eBook ISBN: 978-3-319-19527-8Published: 13 July 2015
Edition Number: 1
Number of Pages: VIII, 218
Topics: Functional Analysis, Ordinary Differential Equations, Partial Differential Equations, Fourier Analysis