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The Theory of Singularities and Its Applications

The Theory of Singularities and Its Applications Author Vladimir Igorevich Arnolʹd
ISBN-10 0521422809
Release 1991-05-31
Pages 72
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This book describes those singularities encountered in different branches of mathematics. The distinguished mathematician, Vladimir Arnold, avoids giving difficult proofs of all the results in order to provide the reader with a concise and accessible overview of the many guises and areas in which singularities appear. Some of these areas include geometry and optics, optimal control theory and algebraic geometry, reflection groups theory, dynamical systems theory, and the classical and quantum catastrophe theory.



Aesthetic Computing

Aesthetic Computing Author Paul A. Fishwick
ISBN-10 9780262562379
Release 2008-08-29
Pages 457
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The application of the theory and practice of art to computer science: how aesthetics and art can play a role in computing disciplines.



Singularity Theory for Non Twist KAM Tori

Singularity Theory for Non Twist KAM Tori Author A. González-Enríquez
ISBN-10 9780821890189
Release 2014-01-08
Pages 115
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In this monograph the authors introduce a new method to study bifurcations of KAM tori with fixed Diophantine frequency in parameter-dependent Hamiltonian systems. It is based on Singularity Theory of critical points of a real-valued function which the authors call the potential. The potential is constructed in such a way that: nondegenerate critical points of the potential correspond to twist invariant tori (i.e. with nondegenerate torsion) and degenerate critical points of the potential correspond to non-twist invariant tori. Hence, bifurcating points correspond to non-twist tori.



Notices of the American Mathematical Society

Notices of the American Mathematical Society Author American Mathematical Society
ISBN-10 UCSD:31822005594676
Release 1991
Pages
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Notices of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Notices of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Notices of the American Mathematical Society book for free.



Catastrophe Theory

Catastrophe Theory Author Vladimir I. Arnol'd
ISBN-10 9783642581243
Release 2012-12-06
Pages 150
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The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.



Dynamical Systems V

Dynamical Systems V Author V.I. Arnold
ISBN-10 9783642578847
Release 2013-12-01
Pages 274
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Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.



Development of Mathematics 1950 2000

Development of Mathematics 1950 2000 Author Jean-Paul Pier
ISBN-10 3764362804
Release 2000-09-01
Pages 1372
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Le projet de ce livre etait une gageure. lIs' agissait de rendre compte du developpement des mathematiques depuis cinquante ans a un public mathematique aussi large que possi ble, sans viser l'exhaustivite, mais sans se bomer a un apen;u superticiel. Pour tenter de realiser cette ambition, Ie comite de lecture a fait appel a des mathematiciens actifs dans divers domaines des mathematiques. II a recru une trentaine de contributions qui forment la matiere de ce livre. En outre, il a auditionne plusieurs mathematiciens qui donnent leur point de vue personnel. Entin il a reuni quelques documents, soit statistiques, soit bibliographiques, pour completer les references donnees par les auteurs et signaler les ar ticles de synthese. Le resultat ne pouvait etre ni complet, ni homo gene, et nous sommes evidemment conscients de ses insuftisances. Nous y reviendrons, mais nous voulons com mencer par in sister sur ce qui fait l'interet et l' importance de ce livre. D'abord, et c'est la raison d'etre de ce vaste projet, ce livre correspond a un be soin. Le livre precedent, Development of Mathematics 1900-1950 (Birkhauser, Bale, 1994), en depit de son caractere incomplet et de son inhomogeneite, a connu un grand succes, et s'avere d'interet durable pour ceux qui veulent explorer les matMmatiques de la premiere moitie du siecle.



Nonlinear Functional Analysis and its Applications

Nonlinear Functional Analysis and its Applications Author E. Zeidler
ISBN-10 9781461209812
Release 2013-11-21
Pages 741
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Nonlinear Functional Analysis and its Applications has been writing in one form or another for most of life. You can find so many inspiration from Nonlinear Functional Analysis and its Applications also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Nonlinear Functional Analysis and its Applications book for free.



Solitons and Geometry

Solitons and Geometry Author Sergeĭ Petrovich Novikov
ISBN-10 0521471966
Release 1994-09-15
Pages 58
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In this book, Professor Novikov describes recent developments in soliton theory and their relations to so-called Poisson geometry. This formalism, which is related to symplectic geometry, is extremely useful for the study of integrable systems that are described in terms of differential equations (ordinary or partial) and quantum field theories. Professor Novikov examines several Hamiltonian systems, within the framework of Poisson geometry, to demonstrate its power. This book will be of interest to mathematicians and physicists.



Advances in Theoretical and Mathematical Physics

Advances in Theoretical and Mathematical Physics Author
ISBN-10 CHI:82285663
Release 2008
Pages
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Advances in Theoretical and Mathematical Physics has been writing in one form or another for most of life. You can find so many inspiration from Advances in Theoretical and Mathematical Physics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Advances in Theoretical and Mathematical Physics book for free.



Proceedings

Proceedings Author International Conference on Computer Vision
ISBN-10 0780350987
Release 1998
Pages 1164
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Proceedings has been writing in one form or another for most of life. You can find so many inspiration from Proceedings also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings book for free.



Sixth International Conference on Computer Vision January 4 7 1998 Bombay India

Sixth International Conference on Computer Vision  January 4 7  1998  Bombay  India Author
ISBN-10 0780350987
Release 1998
Pages 1164
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Sixth International Conference on Computer Vision January 4 7 1998 Bombay India has been writing in one form or another for most of life. You can find so many inspiration from Sixth International Conference on Computer Vision January 4 7 1998 Bombay India also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Sixth International Conference on Computer Vision January 4 7 1998 Bombay India book for free.



Sixth International Conference on Computer Vision January 4 7 1998 Bombay India

Sixth International Conference on Computer Vision  January 4 7  1998  Bombay  India Author IEEE Computer Society
ISBN-10 0780350987
Release 1998
Pages 1164
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Sixth International Conference on Computer Vision January 4 7 1998 Bombay India has been writing in one form or another for most of life. You can find so many inspiration from Sixth International Conference on Computer Vision January 4 7 1998 Bombay India also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Sixth International Conference on Computer Vision January 4 7 1998 Bombay India book for free.



Books in Print

Books in Print Author
ISBN-10 UOM:39015038903368
Release 1997
Pages
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.



Selecta di opere di Aldo Andreotti Complessi di operatori differenziali

Selecta di opere di Aldo Andreotti  Complessi di operatori differenziali Author Aldo Andreotti
ISBN-10 CORNELL:31924089900355
Release 1999
Pages
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Selecta di opere di Aldo Andreotti Complessi di operatori differenziali has been writing in one form or another for most of life. You can find so many inspiration from Selecta di opere di Aldo Andreotti Complessi di operatori differenziali also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Selecta di opere di Aldo Andreotti Complessi di operatori differenziali book for free.



Annali Della Scuola Normale Superiore Di Pisa Classe Di Scienze

Annali Della Scuola Normale Superiore Di Pisa  Classe Di Scienze Author
ISBN-10 UCSD:31822017814062
Release 1993
Pages
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Annali Della Scuola Normale Superiore Di Pisa Classe Di Scienze has been writing in one form or another for most of life. You can find so many inspiration from Annali Della Scuola Normale Superiore Di Pisa Classe Di Scienze also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Annali Della Scuola Normale Superiore Di Pisa Classe Di Scienze book for free.



Singularity Theory and Its Applications

Singularity Theory and Its Applications Author Shyuichi Izumiya
ISBN-10 4931469329
Release 2006
Pages 583
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This volume is the proceedings of the 12th International Research Institute of the Mathematical Society of Japan, held during 2003. The papers cover several important topics in singularity theory, including survey on motivic integrations, Thom polynomials, complex analytic singularity theory, generic differential geometry, etc.