Problem Books in Mathematics

A Sequence of Problems on Semigroups

Authors: Neuberger, John

  • 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
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  • ISBN 978-1-4614-0430-9
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Hardcover $59.99
price for USA
  • ISBN 978-1-4614-0429-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
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  • ISBN 978-1-4614-3006-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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About this Textbook

A Sequence of Problems on Semigroups consists of an arrangement of problems which are designed to develop a variety of aspects to understanding the area of one-parameter semigroups of operators. Written in the Socratic/Moore method, this is a problem book with neither the proofs nor the answers presented. To get the most out of the content requires high motivation to work out the exercises. However, the reader is given the opportunity to discover important developments of the subject and to quickly arrive at the point of independent research.

Many of the problems are not found easily in other books and they vary in level of difficulty. A few open research questions are also presented. The compactness of the volume and the reputation of the author lends this concise set of problems to be a 'classic' in the making. This text is highly recommended for use as supplementary material for three graduate level courses.

About the authors

John W. Neuberger is a Regents Professor at the University of North Texas, Denton, TX.  He received his PhD at 22 from the University of Texas, completing both undergraduate and graduate work in 6 years. Neuberger has been a strong advocate of the Moore (Socratic) method of teaching during his long career in mathematics and is well respected in the fields of PDEs, numerical analysis, functional analysis, real variables, superconductivity, and algebraic geometry. His motto is: "when a man learns to teach himself, there is nothing more we can do for him."

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)


Table of contents (25 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-0430-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-1-4614-0429-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4614-3006-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Sequence of Problems on Semigroups
Authors
Series Title
Problem Books in Mathematics
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-0430-9
DOI
10.1007/978-1-4614-0430-9
Hardcover ISBN
978-1-4614-0429-3
Softcover ISBN
978-1-4614-3006-3
Series ISSN
0941-3502
Edition Number
1
Number of Pages
VI, 142
Topics