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Author: Edgar Heilbronner
Publisher: John Wiley & Sons
ISBN: 9781560812548
Category : Chemistry
Languages : en
Pages : 172
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Book Description
Author: Edgar Heilbronner
Publisher: John Wiley & Sons
ISBN: 9781560812548
Category : Chemistry
Languages : en
Pages : 172
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Book Description
Author: Eugene Paul Wigner
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 0
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Book Description
Author: Katherine Brading
Publisher: Cambridge University Press
ISBN: 1139442023
Category : Science
Languages : en
Pages : 459
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Book Description
This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.
Author: Kentaro Hori
Publisher: American Mathematical Soc.
ISBN: 0821829556
Category : Mathematics
Languages : en
Pages : 954
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Book Description
This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Author: Titus Joseph
Publisher: Balboa Press
ISBN: 145258477X
Category : Philosophy
Languages : en
Pages : 139
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Book Description
From ancient philosophy to the big bang, quantum physics, and cosmology, Titus Joseph takes us on a mind-stretching journey through time and space to unveil a new law, positional symmetry (requisite mirror image), that explains how all things come into existence through the curious symmetries found everywhere in nature. This exciting new model of the universe draws on concepts from ancient philosophy and weaves together quantum mechanics with relativity, through the observable symmetries found in nature. Our Curious World of Mirror Images sheds new light on what it means to be human in a world in which all things are interrelated. - Introducing a whole new way of looking at our world - A universal theory combining profound scientific facts seamlessly with philosophy - Written in an easy to read format with many illustrations so that anyone may understand - Reconciles the intractable problem of duality - Marries quantum theory with relativity in a relationship that works to explain reality - Provides a compelling account of spacetime that makes sense of the arrow of time - Demonstrates how all things come into being - Provides a broad overview of the cosmos as a whole entity - An eye-opener to the meaning of God - Reconciles eastern paradigms with western views - This book could change the way you see the world
Author: R. McWeeny
Publisher: Elsevier
ISBN: 1483226247
Category : Mathematics
Languages : en
Pages : 263
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Book Description
Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
Author: Alexandre V. Borovik
Publisher: Springer Science & Business Media
ISBN: 0387790667
Category : Mathematics
Languages : en
Pages : 172
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Book Description
This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. Key features include: many important concepts in the proofs are illustrated in simple drawings, which give easy access to the theory; a large number of exercises at various levels of difficulty; some Euclidean geometry is included along with the theory of convex polyhedra; no prerequisites are necessary beyond the basic concepts of linear algebra and group theory; and a good index and bibliography The exposition is directed at advanced undergraduates and first-year graduate students.
Author: Ian Stewart
Publisher: OUP Oxford
ISBN: 019165275X
Category : Mathematics
Languages : en
Pages : 173
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Book Description
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author: Janet Rees
Publisher:
ISBN:
Category : Form perception in children
Languages : en
Pages : 64
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Book Description
Author: Martin Gardner
Publisher: Courier Corporation
ISBN: 0486442446
Category : Science
Languages : en
Pages : 418
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Book Description
This newly updated edition of a well-known work explores a pair of modern science's most fundamental discoveries: the asymmetric DNA helix and the overthrow of parity (left-right symmetry) in particle physics. Absorbing and thought-provoking, The New Ambidextrous Universe was written by Martin Gardner, one of Dover's most popular authors,.
