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Author : V. M. Buchstaber
Publisher : American Mathematical Soc.
ISBN 13 : 9780821806661
Total Pages : 204 pages
Book Rating : 4.8/5 (66 download)
Download or read book Solitons, Geometry, and Topology: On the Crossroad written by V. M. Buchstaber and published by American Mathematical Soc.. This book was released on 1997 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. M. Buchstaber
Publisher :
ISBN 13 : 9781470433901
Total Pages : 201 pages
Book Rating : 4.4/5 (339 download)
Download or read book Solitons, Geometry, and Topology written by V. M. Buchstaber and published by . This book was released on 1997 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a long-standing tradition of the seminar, which originated in 1965.
Author :
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (321 download)
Download or read book Solitons, Geometry, and Topology written by and published by . This book was released on 1999 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugenii F Mishchenko
Publisher :
ISBN 13 :
Total Pages : 381 pages
Book Rating : 4.:/5 (932 download)
Download or read book Solitons, Geometry and Topology, on the Crossroads written by Eugenii F Mishchenko and published by . This book was released on 1999 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgenii Frolovich Mishchenko
Publisher :
ISBN 13 :
Total Pages : 381 pages
Book Rating : 4.:/5 (87 download)
Download or read book Solitons, Geometry and Topology written by Evgenii Frolovich Mishchenko and published by . This book was released on 1999 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. M. Bukhshtaber
Publisher :
ISBN 13 :
Total Pages : 381 pages
Book Rating : 4.:/5 (247 download)
Download or read book Solitons, Geometry, and Topology: on the Crossroads written by V. M. Bukhshtaber and published by . This book was released on 1999 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. Rogers
Publisher : Cambridge University Press
ISBN 13 : 9780521012881
Total Pages : 436 pages
Book Rating : 4.0/5 (128 download)
Download or read book Bäcklund and Darboux Transformations written by C. Rogers and published by Cambridge University Press. This book was released on 2002-06-24 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.
Author : S. P. Novikov
Publisher : Cambridge University Press
ISBN 13 : 9780521471961
Total Pages : 92 pages
Book Rating : 4.4/5 (719 download)
Download or read book Solitons and Geometry written by S. P. Novikov and published by Cambridge University Press. This book was released on 1994-09-15 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the geometry of Hamiltonian systems from the modern point of view where the basic structure is a Poisson bracket. Using this approach a mathematical analogue of the famous 'Dirac monopole' is obtained starting from the classical top in a gravity field. This approach is especially useful in physical applications in which a field theory appears; this is the subject of the second part of the lectures, which contains a theory of conservative hydrodynamic-type systems, based on Riemannian geometry, developed over the last decade. The theory has had success in solving problems in physics, such as ones associated with dispersive analogues of shock waves, and its development has led to the introduction of new notions in geometry. The book is based on lectures given by the author in Pisa and which were intended for a non-specialist audience. It provides an introduction from which to proceed to more advanced work in the area.
Author : Alexander Mikhailov
Publisher : Springer Science & Business Media
ISBN 13 : 3540881107
Total Pages : 348 pages
Book Rating : 4.5/5 (48 download)
Download or read book Integrability written by Alexander Mikhailov and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of the book is to give a comprehensive account of the variety of approaches to such an important and complex concept as Integrability. Dev- oping mathematical models, physicists often raise the following questions: whether the model obtained is integrable or close in some sense to an integrable one and whether it can be studied in depth analytically. In this book we have tried to c- ate a mathematical framework to address these issues, and we give descriptions of methods and review results. In the Introduction we give a historical account of the birth and development of the theory of integrable equations, focusing on the main issue of the book – the concept of integrability itself. A universal de nition of Integrability is proving to be elusive despite more than 40 years of its development. Often such notions as “- act solvability” or “regular behaviour” of solutions are associated with integrable systems. Unfortunately these notions do not lead to any rigorous mathematical d- inition. A constructive approach could be based upon the study of hidden and rich algebraic or analytic structures associated with integrable equations. The requi- ment of existence of elements of these structures could, in principle, be taken as a de nition for integrability. It is astonishing that the nal result is not sensitive to the choice of the structure taken; eventually we arrive at the same pattern of eq- tions.
Author : Laurenţiu G. Maxim
Publisher : Springer Nature
ISBN 13 : 3030276449
Total Pages : 270 pages
Book Rating : 4.0/5 (32 download)
Download or read book Intersection Homology & Perverse Sheaves written by Laurenţiu G. Maxim and published by Springer Nature. This book was released on 2019-11-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.
Author :
Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Asian Journal of Mathematics written by and published by . This book was released on 1998 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.3/5 (91 download)
Download or read book Russian Mathematical Surveys written by and published by . This book was released on 2006 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Graham Flegg
Publisher : Crane Russak
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.3/5 (91 download)
Download or read book From Geometry to Topology written by Graham Flegg and published by Crane Russak. This book was released on 1974 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to topology eases readers into the subject by building a bridge from the familiar concepts of geometry to the formalized study of topology. Focuses on congruence classes defined by transformations in real Euclidean space, continuity, sets, functions, metric spaces, and topological spaces, more. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.
Author : Piotr Kielanowski
Publisher : Birkhäuser
ISBN 13 : 3319635948
Total Pages : 280 pages
Book Rating : 4.3/5 (196 download)
Download or read book Geometric Methods in Physics XXXV written by Piotr Kielanowski and published by Birkhäuser. This book was released on 2018-02-10 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a selection of articles based on the XXXV Białowieża Workshop on Geometric Methods in Physics, 2016. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field. Traditionally, the Białowieża Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career researchers, and the book also includes extended abstracts of the lecture series.
Author : Alwyn Scott
Publisher : Routledge
ISBN 13 : 1135455570
Total Pages : 2881 pages
Book Rating : 4.1/5 (354 download)
Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 2881 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Author :
Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.3/5 (91 download)
Download or read book Труды Математического института имени В.А. Стеклова written by and published by . This book was released on 1999 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor M. Buchstaber
Publisher : American Mathematical Soc.
ISBN 13 : 147042214X
Total Pages : 534 pages
Book Rating : 4.4/5 (74 download)
Download or read book Toric Topology written by Victor M. Buchstaber and published by American Mathematical Soc.. This book was released on 2015-07-15 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.
