On quaternions and octonions, Conway, Professor John H. Smith, Derek A.

Автор: Tonny A. Springer; Ferdinand D. Veldkamp
Название: Octonions, Jordan Algebras and Exceptional Groups
ISBN: 3642085636 ISBN-13(EAN): 9783642085635
Издательство: Springer
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Описание: The 1963 Gottingen notes of T. A. Springer are well known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra.

Автор: Springer
Название: Octonions, Jordan Algebras, and Exceptional Groups
ISBN: 3540663371 ISBN-13(EAN): 9783540663379
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The 1963 Goettingen notes of T. A. Springer are well known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra.

Автор: Kuipers, J.b.
Название: Quaternions and rotation sequences
ISBN: 0691102988 ISBN-13(EAN): 9780691102986
Издательство: Wiley
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Цена: 14573.00 р.
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Описание: Introduces quaternions for scientists and engineers, and shows how they can be used in a variety of practical situations. This book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. It also presents the conventional and familiar 3 x 3 (9-element) matrix rotation operator.

Автор: Dray Tevian, Manogue Corinne A.
Название: The Geometry of the Octonions
ISBN: 9811218188 ISBN-13(EAN): 9789811218187
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание: There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.

Автор: Dray Tevian & Manogue Corinne A
Название: Geometry Of The Octonions, The
ISBN: 9814401811 ISBN-13(EAN): 9789814401814
Издательство: World Scientific Publishing
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Цена: 15048.00 р.
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Описание: Describes rotations in three dimensions and in various symmetry groups. This title offers an introduction to the properties of the octonions, with emphasis on their geometric structure. It includes applications such as: the exceptional Lie groups, octonionic projective spaces, and applications to particle physics.

Автор: J?rg Kramer; Anna-Maria von Pippich
Название: From Natural Numbers to Quaternions
ISBN: 3319694278 ISBN-13(EAN): 9783319694276
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions.