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Differential and Symplectic Topology of Knots and Curves

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 546/5 ( reviews)

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Book Synopsis Differential and Symplectic Topology of Knots and Curves by : Serge Tabachnikov

Download or read book Differential and Symplectic Topology of Knots and Curves written by Serge Tabachnikov. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian knots and links in 3-dimensional contact manifolds. Featured is the work of international experts in knot theory ("quantum" knot invariants, knot invariants of finite type), in symplectic and contact topology, and in singularity theory. The interplay of diverse methods from these fields makes this volume unique in the study of Legendrian knots and knot-like objects such as wave fronts. A particularly enticing feature of the volume is its international significance. The volume successfully embodies a fine collaborative effort by worldwide experts from Belgium, France, Germany, Israel, Japan, Poland, Russia, Sweden, the UK, and the US.

The Arnoldfest

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 458/5 ( reviews)

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Book Synopsis The Arnoldfest by : Vladimir Igorevich Arnolʹd

Download or read book The Arnoldfest written by Vladimir Igorevich Arnolʹd. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over--including several from "Arnold's school"--gave illuminating talks and lively poster sessions. The presentations focused on Arnold's main areas of interest: singularity theory, the theory of curves, symmetry groups, dynamical systems, mechanics, and related areas of mathematics. The book begins with notes of three lectures by V. Arnold given in the framework of the Institute's Distinguished Lecturer program. The topics of the lectures are: (1) From Hilbert's Superposition Problem to Dynamical Systems (2) Symplectization, Complexification, and Mathematical Trinities (3) Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry. Arnold's three articles include insightful comments on Russian and Western mathematics and science. Complementing the first is Jurgen Moser's "Recollections", concerning some of the history of KAM theory.

L. D. Faddeev's Seminar on Mathematical Physics

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 336/5 ( reviews)

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Book Synopsis L. D. Faddeev's Seminar on Mathematical Physics by : Michael Semenov-Tian-Shansky

Download or read book L. D. Faddeev's Seminar on Mathematical Physics written by Michael Semenov-Tian-Shansky. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a long history of over 30 years of intensive work which shaped modern mathematical physics. This collection, honoring Professor Faddeev's 65th anniversary, has been prepared by his students and colleagues. Topics covered in the volume include classical and quantum integrable systems (both analytic and algebraic aspects), quantum groups and generalizations, quantum field theory, and deformation quantization. Included is a history of the seminar highlighting important developments, such as the invention of the quantum inverse scattering method and of quantum groups. The book will serve nicely as a comprehensive, up-to-date resource on the topic.

Quantum Algebras and Poisson Geometry in Mathematical Physics

2005 Computers
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Release : 2005
Genre : Computers
Kind : eBook
Book Rating : 405/5 ( reviews)

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Book Synopsis Quantum Algebras and Poisson Geometry in Mathematical Physics by : Mikhail Vladimirovich Karasev

Download or read book Quantum Algebras and Poisson Geometry in Mathematical Physics written by Mikhail Vladimirovich Karasev. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications of Poisson geometry to some fundamental well-known problems in mathematical physics. This volume is suitable for graduate students and researchers interested in mathematical physics. It uses methods such as: unexpected algebras with non-Lie commutation relations, dynamical systems theory, and semiclassical asymptotics.

Lie Groups and Invariant Theory

2005 Computers
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Release : 2005
Genre : Computers
Kind : eBook
Book Rating : 337/5 ( reviews)

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Book Synopsis Lie Groups and Invariant Theory by : Ėrnest Borisovich Vinberg

Download or read book Lie Groups and Invariant Theory written by Ėrnest Borisovich Vinberg. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.

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