The Topos of Music II: Performance, Guerino Mazzola

Автор: Earl Richard
Название: Topology: A Very Short Introduction
ISBN: 0198832680 ISBN-13(EAN): 9780198832683
Издательство: Oxford Academ
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Описание: This book explores the mathematical field of topology, giving a sense of the visual elements of the field, as well as the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to study topology, it pays homage to the historical people, problems, and surprises that propelled the growth of the field.

Автор: Nakahara, M. (department Of Mathematics And Physic
Название: Geometry, topology and physics
ISBN: 0750306068 ISBN-13(EAN): 9780750306065
Издательство: Taylor&Francis
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Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Автор: Garrity
Название: Electricity and Magnetism for Mathematicians
ISBN: 1107078202 ISBN-13(EAN): 9781107078208
Издательство: Cambridge Academ
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Описание: Almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell`s equations, which have led to some of the most important mathematical discoveries of the past thirty years. This text introduces some of the mathematical wonders of these equations.

Автор: Flori Cecilia
Название: First Course in Topos Quantum Theory
ISBN: 3642357121 ISBN-13(EAN): 9783642357121
Издательство: Springer
Цена: 9781.00 р.
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Описание: In the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming "the "quantum theory of gravity. One possible explanation for this failure might be the unresolved fundamental issues in quantum theory as it stands now. Indeed, most approaches to quantum gravity adopt standard quantum theory as their starting point, with the hope that the theory's unresolved issues will get solved along the way. However, these fundamental issues may need to be solved before attempting to define a quantum theory of gravity.
The present text adopts this point of view, addressing the following basic questions: What are the main conceptual issues in quantum theory? How can these issues be solved within a new theoretical framework of quantum theory?
A possible way to overcome critical issues in present-day quantum physics - such as "a priori "assumptions about space and time that are not compatible with a theory of quantum gravity, and the impossibility of talking about systems without reference to an external observer - is through a reformulation of quantum theory in terms of a different mathematical framework called topos theory.
This course-tested primer sets out to explain to graduate students and newcomers to the field alike, the reasons for choosing topos theory to resolve the above-mentioned issues and how it brings quantum physics back to looking more like a "neo-realist" classical physics theory again.

Автор: Flori
Название: A Second Course in Topos Quantum Theory
ISBN: 3319711075 ISBN-13(EAN): 9783319711072
Издательство: Springer
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Описание: This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances.

Автор: Guerino Mazzola
Название: The Topos of Music IV: Roots
ISBN: 3030097218 ISBN-13(EAN): 9783030097219
Издательство: Springer
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Описание: This is the fourth volume of the second edition of the now classic book "The Topos of Music". The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; and tables with chord classes and modulation steps.

Автор: Guerino Mazzola
Название: The Topos of Music I: Theory
ISBN: 303009717X ISBN-13(EAN): 9783030097172
Издательство: Springer
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Описание: This is the first volume of the second edition of the now classic book "The Topos of Music". The author explains the theory`s conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

Автор: Mazzola Guerino, Guitart Renй, Ho Jocelyn
Название: The Topos of Music III: Gestures: Musical Multiverse Ontologies
ISBN: 303009720X ISBN-13(EAN): 9783030097202
Издательство: Springer
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Автор: Xia Liang
Название: Multiscale Structural Topology Optimization
ISBN: 1785481002 ISBN-13(EAN): 9781785481000
Издательство: Elsevier Science
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Описание: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. . Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. . This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.