Geometry of music, Tymoczko, Dmitri (associate Professor, Associate Professor, Princeton University)

Автор: Critchlow Kieth
Название: The Hidden Geometry of Flowers: Living Rhythms, Form, and Number
ISBN: 0863158064 ISBN-13(EAN): 9780863158063
Издательство: Edward Elgar Publishers
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Цена: 36960.00 T
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Описание: A beautiful and original book in which renowned thinker and geometrist Keith Critchlow focuses on flowers as examples of symmetry and geometry. Fully illustrated with hand-drawn geometric patterns.

Автор: Chmutov
Название: Introduction to Vassiliev Knot Invariants
ISBN: 1107020832 ISBN-13(EAN): 9781107020832
Издательство: Cambridge Academ
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Цена: 53960.00 T
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Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.

Автор: Bengtsson Ingemar
Название: Geometry of Quantum States
ISBN: 1107026253 ISBN-13(EAN): 9781107026254
Издательство: Cambridge Academ
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Цена: 91860.00 T
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

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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Цена: 91860.00 T
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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: Gregory L. Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1461426820 ISBN-13(EAN): 9781461426820
Издательство: Springer
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Цена: 55890.00 T
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Описание: Reflecting fresh mutual interest between mathematics and physics, this updated second edition interweaves rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that are their mathematical models.

Автор: Acheson, David (emeritus Fellow, Jesus College, University Of Oxford)
Название: Wonder book of geometry
ISBN: 019884638X ISBN-13(EAN): 9780198846383
Издательство: Oxford Academ
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Цена: 15830.00 T
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Описание: David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: Decker
Название: A First Course in Computational Algebraic Geometry
ISBN: 1107612535 ISBN-13(EAN): 9781107612532
Издательство: Cambridge Academ
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Цена: 16890.00 T
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Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.

Автор: Peter Smith
Название: An Introduction to Formal Logic
ISBN: 1108411398 ISBN-13(EAN): 9781108411394
Издательство: Cambridge Academ
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Цена: 29560.00 T
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Описание: Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this very accessible book, extensively revised and rewritten for the second edition, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and develops natural deduction systems for evaluating arguments translated into these languages. His discussion is richly illustrated with worked examples and exercises, and alongside the formal work there is illuminating philosophical commentary. This book will make an ideal text for a first logic course and will provide a firm basis for further work in formal and philosophical logic.

Автор: Byrne David
Название: How Music Works
ISBN: 0857862529 ISBN-13(EAN): 9780857862525
Издательство: Canongate
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Цена: 18800.00 T
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Описание: David Byrne`s internationally bestselling magnum opus on the subject of music

Автор: Needham Tristan
Название: Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
ISBN: 0691203709 ISBN-13(EAN): 9780691203706
Издательство: Wiley
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Цена: 44350.00 T
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Описание: An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton's geometrical methods to provide geometrical explanations of the classical results.

In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss's famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein's field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell's equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan's method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms.

Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.

Автор: Cucker
Название: Manifold Mirrors
ISBN: 0521728762 ISBN-13(EAN): 9780521728768
Издательство: Cambridge Academ
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Цена: 26400.00 T
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Описание: Felipe Cucker presents a unifying mathematical structure to explore the relationship between mathematics and the arts, including architecture, music, poetry and more. The book emerged from the author`s undergraduate course, but requiring only basic high-school knowledge of mathematics it makes a fascinating read for anyone interested in the arts.