Описание: This substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp.
Автор: Barnard Название: Discovering Group Theory ISBN: 1138030163 ISBN-13(EAN): 9781138030169 Издательство: Taylor&Francis Рейтинг: Цена: 6430.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents group theory to students taking a course to transition to advanced mathematics with the goal of preparing them for higher level mathematical study. The book covers the usual material which is found in a first course on groups with both preliminary chapters and examples of groups, results about integers, study cosets, and isomorphism theorem.
Автор: Baumslag, Benjamin Название: Schaum`s outlone of group theory ISBN: 0070041245 ISBN-13(EAN): 9780070041240 Издательство: McGraw-Hill Цена: 4631.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Schaum`s Outlines present all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
Автор: Hayashi Название: Group Representation for Quantum Theory ISBN: 3319449044 ISBN-13(EAN): 9783319449043 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory.Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.
Автор: Davidoff Название: Elementary Number Theory, Group Theory and Ramanujan Graphs ISBN: 0521824265 ISBN-13(EAN): 9780521824262 Издательство: Cambridge Academ Рейтинг: Цена: 24077.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.
Автор: Carter, Robert L. Название: Molecular symmetry and group theory ISBN: 0471149551 ISBN-13(EAN): 9780471149552 Издательство: Wiley Рейтинг: Цена: 19792.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A Thorough But Understandable Introduction To Molecular Symmetry And Group Theory As Applied To Chemical Problems! In a friendly, easy--to--understand style, this new book invites the reader to discover by example the power of symmetry arguments for understanding theoretical problems in chemistry.
Автор: Davis Название: Topology and Geometric Group Theory ISBN: 3319436732 ISBN-13(EAN): 9783319436739 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted.Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.
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