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Author: Fred Van Oystaeyen
Publisher: CRC Press
ISBN: 1420060570
Category : Mathematics
Languages : en
Pages : 170
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Book Description
Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutat
Author: Fred Van Oystaeyen
Publisher: CRC Press
ISBN: 1420060570
Category : Mathematics
Languages : en
Pages : 170
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Book Description
Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutat
Author: Cyrus F. Nourani
Publisher: CRC Press
ISBN: 1482231506
Category : Mathematics
Languages : en
Pages : 296
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Book Description
This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.
Author: John W. Morgan
Publisher: American Mathematical Soc.
ISBN: 1470450143
Category : Geometry, Differential
Languages : en
Pages : 300
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Book Description
The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle associated with moduli spaces. This volume brings together three approaches to constructing the “virtual” fundamental cycle for the moduli space of pseudo-holomorphic curves. All approaches are based on the idea of local Kuranishi charts for the moduli space. Workers in the field will get a comprehensive understanding of the details of these constructions and the assumptions under which they can be made. These techniques and results will be essential in further applications of this approach to producing invariants of symplectic manifolds.
Author: Frederik Caenepeel
Publisher: CRC Press
ISBN: 1000731561
Category : Mathematics
Languages : en
Pages : 240
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Book Description
Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains. Features • Introduces new concepts in the Theory of Rings and Modules • Suitable for researchers and graduate students working in this area, and as supplementary reading for courses in Group Theory, Ring Theory, Lie Algebras and Sheaf Theory • The first book to explicitly outline this new approach to gliders and fragments and associated concepts
Author: Anatolij T. Fomenko
Publisher: Springer Science & Business Media
ISBN: 3642762352
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material". These pictures illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages.
Author: Michael Gil'
Publisher: CRC Press
ISBN: 1439800332
Category : Mathematics
Languages : en
Pages : 318
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Book Description
One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new a
Author: James Der Derian
Publisher: Oxford University Press
ISBN: 0197568203
Category : Political Science
Languages : en
Pages : 417
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Book Description
The contributors to this volume are motivated by a common apprehension and a common hope. The apprehension was first voiced by Einstein, who lamented the inability of humanity, at the individual and social level, to keep up with the increased speed of technological change brought about by the quantum revolution. As quantum science and technology fast forward into the 21st century, the social sciences remain stuck in classical, 19th century ways of thinking. Can such a mechanistic model of the mind and society possibly help us manage the fully realized technological potential of the quantum? That's where the hope appears: that perhaps quantum is not just a physical science, but a human science too. In Quantum International Relations, James Der Derian and Alexander Wendt gather rising scholars and leading experts to make the case for quantum approaches to world politics. As a fundamental theory of reality and enabler of new technologies, quantum now touches everything, with the potential to revolutionize how we conduct diplomacy, wage war, and make wealth. Contributors present the core principles of quantum mechanics--entanglement, uncertainty, superposition, and the wave function--as significant catalysts and superior heuristics for an accelerating quantum future. Facing a reality which no longer corresponds to an outdated Newtonian worldview of states as billiard balls, individuals as rational actors or power as objective interest, Der Derian and Wendt issue an urgent call for a new human science of quantum International Relations. At the centenary of the first quantum thought experiment in the 1920s, this book offers a diversity of explorations, speculations and approaches for understanding geopolitics in the 21st century.
Author: Sandor Szabo
Publisher: CRC Press
ISBN: 142009047X
Category : Mathematics
Languages : en
Pages : 282
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Book Description
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups. Th
Author: Jason Kraftcheck
Publisher:
ISBN:
Category :
Languages : en
Pages : 134
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Book Description
Author: Friedrich Hirzebruch
Publisher: Springer
ISBN: 3662306972
Category : Mathematics
Languages : en
Pages : 241
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Book Description
