Authors:
- Written in the Socratic/Moore method style and provision of references, enables the motivated student to arrive at the point of independent research
- Student who works through the problems will have a range of introduction to aspects of one-parameter semigroups of transformations
- Problems include wide applicability to probability and the Heat equation
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (25 chapters)
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Front Matter
About this book
This text consists of a sequence of problems which develop a variety of aspects in the field of semigroupsof operators. Many of the problems are not found easily in other books. Written in the Socratic/Moore method, this is a problem book without the answers presented. To get the most out of the content requires high motivation from the reader to work out the exercises. The reader is given the opportunity to discover important developments of the subject and to quickly arrive at the point of independent research. The compactness of the volume and the reputation of the author lends this consider set of problems to be a 'classic' in the making.
This text is highly recommended for us as supplementary material for 3 graduate level courses.
Reviews
From the reviews:
“The book under review is a problem book, consisting of 448 problems … . The final chapter contains extensive notes with comments on the problems, which throw some light to the background and give hints and references to the literature. … For an advanced graduate student, the book should serve as valuable supplement … as well as a starting point for independent research. Intricate research problems and up-to-date treatment make the text highly recommended reading even for experts in the field.” (Marjeta Kramar Fijavž, Zentralblatt MATH, Vol. 1235, 2012)
“Solving the problems in the book is a very interesting enterprise, but the most beneficial thing is that these problems lead to very enlightening discussions and research problems. … this is a very interesting book which can prove useful to graduate students and mathematicians … . the Notes and the extended list of References are great invitations for more study and research.” (Mihaela Poplicher, The Mathematical Association of America, April, 2012)
Authors and Affiliations
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Dept. Mathematics, Mathematics, University of North Texas, Denton, USA
J.W. Neuberger
About the author
Bibliographic Information
Book Title: A Sequence of Problems on Semigroups
Authors: J.W. Neuberger
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-0430-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4614-0429-3Published: 15 September 2011
Softcover ISBN: 978-1-4614-3006-3Published: 24 October 2013
eBook ISBN: 978-1-4614-0430-9Published: 15 September 2011
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: VI, 142
Topics: Analysis, Category Theory, Homological Algebra, General Algebraic Systems, Order, Lattices, Ordered Algebraic Structures