A Sequence of Problems on Semigroups (Problem Books in Mathematics) - Hardcover

Neuberger, John

 
9781461404293: A Sequence of Problems on Semigroups (Problem Books in Mathematics)
Hardcover
ISBN 10: 1461404290 ISBN 13: 9781461404293
Verlag: Springer, 2011

Inhaltsangabe

-Preface.-1. Introduction.-2. The idea of a semigroup.-3. Translation semigroups.-4. Linear continuous semigroups.-5.Strongly continuous linear semigroups.-6. An Application to the Heat Equation.-7. Some Problems in Analysis.-8.Semigroups of steepest descent.-9. Numerics of semigroups of steepest descent.-10. Nonlinear semigroups studied by linear methods.-11. Measures and linear extension of nonlinear semigroups.-12. Local semigroups and Lie generators.-13. Quasi-analyticity of semigroups.-14. Continuous Newton’s method and semigroups-15. Generalized semigroups without forward uniqueness.-16. Semigroups of nonlinear contractions and monotone operators.-17. Notes.-18. References.

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Über die Autorin bzw. den Autor

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."

Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
1461404290
ISBN 13 
9781461404293
Einband
Tapa dura
Anzahl der Seiten
148
Kontakt zum Hersteller
Nicht verfügbar
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Vorgestellte Ausgabe

ISBN 10:  1461430062 ISBN 13:  9781461430063
Verlag: Springer, 2013
Softcover