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Quadratic Forms in Infinite Dimensional Vector Spaces

Quadratic Forms in Infinite Dimensional Vector Spaces Author Herbert Gross
ISBN-10 9781475714548
Release 2013-11-11
Pages 419
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For about a decade I have made an effort to study quadratic forms in infinite dimensional vector spaces over arbitrary division rings. Here we present in a systematic fashion half of the results found du ring this period, to wit, the results on denumerably infinite spaces (" ~O- forms") . Certain among the resul ts included here had of course been published at the time when they were found, others appear for the first time (the case, for example, in Chapters IX, X, XII where I in clude results contained in the Ph.D.theses by my students w. Allenspach, L. Brand, U. Schneider, M. Studer). If one wants to give an introduction to the geometric algebra of infinite dimensional quadratic spaces, a discussion of ~ -dimensional 0 spaces ideally serves the purpose. First, these spaces show a large nurober of phenomena typical of infinite dimensional spaces. Second, most proofs can be done by recursion which resembles the familiar pro cedure by induction in the finite dimensional Situation. Third, the student acquires a good feeling for the linear algebra in infinite di mensions because it is impossible to camouflage problems by topological expedients (in dimension ~O it is easy to see, in a given case, wheth er topological language is appropriate or not) .



Canadian Journal of Mathematics

Canadian Journal of Mathematics Author
ISBN-10
Release 1989-02
Pages 192
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Canadian Journal of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from Canadian Journal of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Canadian Journal of Mathematics book for free.



Quadratic Mappings and Clifford Algebras

Quadratic Mappings and Clifford Algebras Author Jacques Helmstetter
ISBN-10 3764386061
Release 2008-05-24
Pages 504
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After general properties of quadratic mappings over rings, the authors more intensely study quadratic forms, and especially their Clifford algebras. To this purpose they review the required part of commutative algebra, and they present a significant part of the theory of graded Azumaya algebras. Interior multiplications and deformations of Clifford algebras are treated with the most efficient methods.



Gleason s Theorem and Its Applications

Gleason s Theorem and Its Applications Author Anatolij Dvurecenskij
ISBN-10 9789401582223
Release 2013-06-29
Pages 325
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For many years physics and mathematics have had a fruitful influence on one another. Classical mechanics and celestial mechanics have produced very deep problems whose solutions have enhanced mathematics. On the other hand, mathematics itself has found interesting theories which then (sometimes after many years) have been reflected in physics, confirming the thesis that nothing is more practical than a good theory. The same is true for the younger physical discipline -of quantum mechanics. In the 1930s two events, not at all random, became: The mathematical back grounds of both quantum mechanics and probability theory. In 1936, G. Birkhoff and J. von Neumann published their historical paper "The logic of quantum mechanics", in which a quantum logic was suggested. The mathematical foundations of quantum mechanics remains an outstanding problem of mathematics, physics, logic and philosophy even today. The theory of quantum logics is a major stream in this axiomatical knowledge river, where L(H), the system of all closed subspaces of a Hilbert space H, due to J. von Neumann, plays an important role. When A.M. Gleason published his solution to G. Mackey's problem showing that any state (= probability measure) corresponds to a density operator, he probably did not anticipate that his solution would become a cornerstone of ax iomati cal theory of quantum mechanics nor that it would provide many interesting applications to mathematics.



Encyclopaedia of Mathematics

Encyclopaedia of Mathematics Author Michiel Hazewinkel
ISBN-10 0792347099
Release 1997-08-31
Pages 588
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The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics and is now available on CD-ROM. The CD-ROM edition contains all the articles published in the 10-Volume set and the first Supplementary volume. All articles are hyperlinked and some animation and 3D objects have been added. Presentation and navigation is managed by Dynatext and an advanced search engine allows for full text search, searching with wildcards, Boolean search, proximity search and structure-aware searches. All text can be printed and exported. The CD-ROM is available in two versions: a network version for PC and Unix platforms, and a stand-alone version for PC and Mac platforms only.



Octonions Jordan Algebras and Exceptional Groups

Octonions  Jordan Algebras  and Exceptional Groups Author Tonny A. Springer
ISBN-10 3540663371
Release 2000-05-16
Pages 208
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The 1963 Göttingen 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. In the group-theoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015058562367
Release 2004
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Reviews in number theory 1973 83

Reviews in number theory 1973 83 Author American Mathematical Society
ISBN-10 0821802186
Release 1984
Pages 3573
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Reviews in number theory 1973 83 has been writing in one form or another for most of life. You can find so many inspiration from Reviews in number theory 1973 83 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Reviews in number theory 1973 83 book for free.



Publicationes mathematicae

Publicationes mathematicae Author
ISBN-10 UCAL:B3530152
Release 1983
Pages
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Publicationes mathematicae has been writing in one form or another for most of life. You can find so many inspiration from Publicationes mathematicae also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Publicationes mathematicae book for free.



Bayreuther mathematische Schriften

Bayreuther mathematische Schriften Author
ISBN-10 UOM:39015048170156
Release 1997
Pages
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On subspaces of products of nuclear Fr chet spaces

On subspaces of products of nuclear Fr  chet spaces Author Kaisa Nyberg
ISBN-10 UCSD:31822036003689
Release 1980
Pages 56
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Annales Academiae Scientiarum Fennicae

Annales Academiae Scientiarum Fennicae Author
ISBN-10 UCAL:B4585460
Release 1990
Pages
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Studia Scientiarum Mathematicarum Hungarica

Studia Scientiarum Mathematicarum Hungarica Author
ISBN-10 UOM:39015046571579
Release 1984
Pages
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Rapport

Rapport Author
ISBN-10 UOM:39015046541648
Release 1990
Pages
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Infinite Dimensional Lie Algebras

Infinite Dimensional Lie Algebras Author Victor G. Kac
ISBN-10 9781475713824
Release 2013-11-11
Pages 252
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S minaire de math matique

S  minaire de math  matique Author
ISBN-10 UVA:X004521255
Release 2000-10
Pages
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Bericht

Bericht Author Jyväskylän yliopisto. Matematiikan laitos
ISBN-10 UOM:39015048176062
Release 1998
Pages
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Bericht has been writing in one form or another for most of life. You can find so many inspiration from Bericht also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bericht book for free.