Theory and Applications of Hopf Bifurcation

Author: B. D. Hassard
Publisher: CUP Archive
ISBN: 9780521231589
Format: PDF, Docs
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This text will be of value to all those interested in and studying the subject in the mathematical, natural and engineering sciences.

Handbook of Computability Theory

Author: E.R. Griffor
Publisher: Elsevier
ISBN: 9780080533049
Format: PDF, Kindle
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The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.

ZZ 2 Homotopy Theory

Author: Michael Charles Crabb
Publisher: Cambridge University Press
ISBN: 0521280516
Format: PDF, ePub, Mobi
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This account is a study of twofold symmetry in algebraic topology. The author discusses specifically the antipodal involution of a real vector bundle - multiplication by - I in each fibre; doubling and squaring operations; the symmetry of bilinear forms and Hermitian K-theory. In spite of its title, this is not a treatise on equivariant topology; rather it is the language in which to describe the symmetry. Familiarity with the basic concepts of algebraic topology (homotopy, stable homotopy, homology, K-theory, the Pontrjagin-Thom transfer construction) is assumed. Detailed proofs are not given (the expert reader will be able to supply them when necessary) yet nowhere is credibility lost. Thus the approach is elementary enough to provide an introduction to the subject suitable for graduate students although research workers will find here much of interest.

Introduction to the Representation Theory of Compact and Locally Compact Groups

Author: Alain Robert
Publisher: Cambridge University Press
ISBN: 0521289750
Format: PDF, ePub, Mobi
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Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Das BUCH der Beweise

Author: Martin Aigner
Publisher: Springer-Verlag
ISBN: 3642022596
Format: PDF, ePub, Docs
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Die Sammlung eleganter mathematischer Beweise wurde für die 3. Auflage deutlich erweitert: In fünf neuen Kapiteln präsentieren die Autoren Klassiker wie den Fundamentalsatz der Algebra, kombinatorisch-geometrische Zerlegungsprobleme, aber auch Beweise aus jüngster Zeit, etwa den für die Kneser-Vermutung in der Graphentheorie. Die Neuausgabe wartet noch mit weiteren Verbesserungen und Überraschungen auf - darunter einem neuen Beweis für Hilberts Drittes Problem.

Gewinnen Strategien f r mathematische Spiele

Author: Elwyn R. Berlekamp
Publisher: Springer-Verlag
ISBN: 3322831736
Format: PDF
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Der vierte Band ,,Solitairspiele" behandelt Ein-Personen-Spiele mit Ausnahme von Schach, Go etc. Ein Hauptteil ist dem berühmten ,,Game of Life" gewidmet.