The Random Matrix Theory of the Classical Compact Groups, Elizabeth S. Meckes
Автор: Baker, Andrew Название: Matrix Groups ISBN: 1852334703 ISBN-13(EAN): 9781852334703 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Поставка под заказ. Описание: Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter.The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions.Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.
Автор: Aravinda Название: Geometry, Topology, and Dynamics in Negative Curvature ISBN: 110752900X ISBN-13(EAN): 9781107529007 Издательство: Cambridge Academ Рейтинг: Цена: 76030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.
Автор: Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara Название: The Classical Groups and K-Theory ISBN: 3540177582 ISBN-13(EAN): 9783540177586 Издательство: Springer Рейтинг: Цена: 139710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Gives a comprehensive account of the basic algebraic properties of the classical groups over rings. This book also includes a revised and expanded version of Dieudonne`s classical theory over division rings. It analyses congruence subgroups, normal subgroups and quotient groups, and investigates connections with linear and hermitian K-theory.
Автор: Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara Название: The Classical Groups and K-Theory ISBN: 3642057373 ISBN-13(EAN): 9783642057373 Издательство: Springer Рейтинг: Цена: 139710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups," foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the definition of Lie groups, the analogy between simple classical groups over finite fields and simple classical groups over IR or C had been observed, even if the concept of "simplicity" was not quite the same in both cases. With the discovery of the exceptional simple complex Lie algebras by Killing and E. Cartan, it was natural to look for corresponding groups over finite fields, and already around 1900 this was done by Dickson for the exceptional Lie algebras G and E - However, a deep reason for this 2 6 parallelism was missing, and it is only Chevalley who, in 1955 and 1961, discovered that to each complex simple Lie algebra corresponds, by a uniform process, a group scheme (fj over the ring Z of integers, from which, for any field K, could be derived a group (fj(K).
Название: Probability on Compact Lie Groups ISBN: 3319078410 ISBN-13(EAN): 9783319078410 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Probability theory on compact Lie groups deals with the interaction between "chance" and "symmetry," a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing).
Автор: Andreas Knauf; Jochen Denzler Название: Mathematical Physics: Classical Mechanics ISBN: 366255772X ISBN-13(EAN): 9783662557723 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior.
Автор: Romano, Antonio Marasco, Addolorata Название: Classical mechanics with mathematica ISBN: 3319775944 ISBN-13(EAN): 9783319775944 Издательство: Springer Рейтинг: Цена: 53100.00 T Наличие на складе: Поставка под заказ. Описание: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.
A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics
This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique. Jan Magnus, who, along with the late Heinz Neudecker, pioneered the theory, develops it further in this new edition and provides many examples along the way to support it.
Matrix calculus has become an essential tool for quantitative methods in a large number of applications, ranging from social and behavioral sciences to econometrics. It is still relevant and used today in a wide range of subjects such as the biosciences and psychology. Matrix Differential Calculus with Applications in Statistics and Econometrics, Third Edition contains all of the essentials of multivariable calculus with an emphasis on the use of differentials. It starts by presenting a concise, yet thorough overview of matrix algebra, then goes on to develop the theory of differentials. The rest of the text combines the theory and application of matrix differential calculus, providing the practitioner and researcher with both a quick review and a detailed reference.
Fulfills the need for an updated and unified treatment of matrix differential calculus
Contains many new examples and exercises based on questions asked of the author over the years
Covers new developments in field and features new applications
Written by a leading expert and pioneer of the theory
Part of the Wiley Series in Probability and Statistics
Matrix Differential Calculus With Applications in Statistics and Econometrics Third Edition is an ideal text for graduate students and academics studying the subject, as well as for postgraduates and specialists working in biosciences and psychology.
Автор: Burness Название: Classical Groups, Derangements and Primes ISBN: 1107629446 ISBN-13(EAN): 9781107629448 Издательство: Cambridge Academ Рейтинг: Цена: 61240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides an accessible graduate-level introduction to the finite classical groups and gives the first unified account of conjugacy and geometry of elements of prime order. The authors also provide a detailed discussion of derangements, making this book an essential resource for all researchers interested in permutation groups.
Автор: David Applebaum; Herbert Heyer Название: Probability on Compact Lie Groups ISBN: 3319375792 ISBN-13(EAN): 9783319375793 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Probability theory on compact Lie groups deals with the interaction between "chance" and "symmetry," a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing).
Автор: Monod, Nicolas (ecole Polytechnique Federale De Lausanne) Название: New directions in locally compact groups ISBN: 1108413129 ISBN-13(EAN): 9781108413121 Издательство: Cambridge Academ Рейтинг: Цена: 87650.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This collection of expository articles provides an overview of the major renaissance happening today in the study of locally compact groups and their many connections to other areas of mathematics, including geometric group theory, measured group theory and rigidity of lattices. For researchers and graduate students.
Название: Classical and Quantum Computation, Kitaev ISBN: 0821832298 ISBN-13(EAN): 9780821832295 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 37620.00 T Наличие на складе: Невозможна поставка. Описание: Presents an introduction to the theory of quantum computing. This book starts with the basics of classical theory of computation: Turing machines, Boolean circuits, parallel algorithms, probabilistic computation, NP-complete problems, and the idea of complexity of an algorithm. It provides an exposition of quantum computation theory.
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