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Basic Notions of Algebra - Igor R. Shafarevich
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Igor R. Shafarevich:

Basic Notions of Algebra - neues Buch

ISBN: 9783540264743

ID: 9783540264743

22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective modules. K , K and K of a ring. K of a field and o l n 2 its relations with the Brauer group. K-theory and arithmetic. Comments on the Literature 239 References 244 Index of Names 249 Subject Index 251 Preface This book aims to present a general survey of algebra, of its basic notions and main branches. Now what language should we choose for this In reply to the question `What does mathematics study `, it is hardly acceptable to answer `structures` or `sets with specified relations` for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and the whole point of the question is to understand the special value of this infinitesimal fraction dotted among the amorphous masses. In the same way, the meaning of a mathematical notion is by no means confined to its formal definition in fact, it may be rather better expressed by a (generally fairly small) sample of the basic examples, which serve the mathematician as the motivation and the substantive definition, and at the same time as the real meaning of the notion. Basic Notions of Algebra: 22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective modules. K , K and K of a ring. K of a field and o l n 2 its relations with the Brauer group. K-theory and arithmetic. Comments on the Literature 239 References 244 Index of Names 249 Subject Index 251 Preface This book aims to present a general survey of algebra, of its basic notions and main branches. Now what language should we choose for this In reply to the question `What does mathematics study `, it is hardly acceptable to answer `structures` or `sets with specified relations` for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and the whole point of the question is to understand the special value of this infinitesimal fraction dotted among the amorphous masses. In the same way, the meaning of a mathematical notion is by no means confined to its formal definition in fact, it may be rather better expressed by a (generally fairly small) sample of the basic examples, which serve the mathematician as the motivation and the substantive definition, and at the same time as the real meaning of the notion., Springer-Verlag Gmbh

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Basic Notions of Algebra - Shafarevich, Igor R.
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Shafarevich, Igor R.:

Basic Notions of Algebra - neues Buch

2006, ISBN: 3540264744

ID: 9783540264743

In russischer Sprache. Verlag: Springer Berlin, §22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective modules. K , K and K of a ring. K of a field and o l n 2 its relations with the Brauer group. K-theory and arithmetic. Comments on the Literature 239 References 244 Index of Names 249 Subject Index 251 Preface This book aims to present a general survey of algebra, of its basic notions and main branches. Now what language should we choose for this? In reply to the question 'What does mathematics study?', it is hardly acceptable to answer 'structures' or 'sets with specified relations'; for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and the whole point of the question is to understand the special value of this infinitesimal fraction dotted among the amorphous masses. In the same way, the meaning of a mathematical notion is by no means confined to its formal definition; in fact, it may be rather better expressed by a (generally fairly small) sample of the basic examples, which serve the mathematician as the motivation and the substantive definition, and at the same time as the real meaning of the notion. PC-PDF, 260 Seiten, IV Seiten, 260 Seiten, [GR: 9623 - Nonbooks, PBS / Mathematik/Arithmetik, Algebra], [SW: - Algebra ], [Ausgabe: 2005][PU:Springer Berlin], [PU: Springer, Berlin/Heidelberg]

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Basic Notions of Algebra - Igor R. Shafarevich
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Igor R. Shafarevich:
Basic Notions of Algebra - neues Buch

ISBN: 9783540264743

ID: 7600771

Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts. This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as ´merely an attempt to talk about´ algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Mathematik, Springer Berlin Heidelberg

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Basic Notions of Algebra - Igor R. Shafarevich;  Aleksej I. Kostrikin;  Igor R. Shafarevich
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Igor R. Shafarevich; Aleksej I. Kostrikin; Igor R. Shafarevich:
Basic Notions of Algebra - Erstausgabe

2006, ISBN: 9783540264743

ID: 21677167

Encyclopaedia of Mathematical Sciences, [ED: 1], Auflage, eBook Download (PDF), eBooks, [PU: Springer-Verlag]

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Basic Notions of Algebra - Igor R. Shafarevich; Aleksej I. Kostrikin; Igor R. Shafarevich
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Igor R. Shafarevich; Aleksej I. Kostrikin; Igor R. Shafarevich:
Basic Notions of Algebra - neues Buch

2005, ISBN: 9783540264743

ID: 21677167

eBook Download (PDF), eBooks, [PU: Springer Berlin]

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Details zum Buch
Basic Notions of Algebra
Autor:

Shafarevich, Igor R.

Titel:

Basic Notions of Algebra

ISBN-Nummer:

9783540264743

Detailangaben zum Buch - Basic Notions of Algebra


EAN (ISBN-13): 9783540264743
ISBN (ISBN-10): 3540264744
Erscheinungsjahr: 2005
Herausgeber: Springer Berlin
258 Seiten
Sprache: rus/Russisch

Buch in der Datenbank seit 20.08.2007 20:13:03
Buch zuletzt gefunden am 16.11.2016 14:44:22
ISBN/EAN: 9783540264743

ISBN - alternative Schreibweisen:
3-540-26474-4, 978-3-540-26474-3

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