Theory of Distributions

Buch | Softcover
VIII, 218 Seiten
2015 | 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-19526-1 (ISBN)

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Theory of Distributions - Svetlin G. Georgiev
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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.

Prof. Svetlin G. Georgiev , Assistant Professor, Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia "St. Kliment Ohridski", Sofia, Bulgaria.

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.

"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)

Erscheint lt. Verlag 23.7.2015
Zusatzinfo VIII, 218 p.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte distributions • Fourier transform • Laplace transform • Sobolev spaces • Tempered distributions
ISBN-10 3-319-19526-3 / 3319195263
ISBN-13 978-3-319-19526-1 / 9783319195261
Zustand Neuware
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