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9789819992546 - Knots and Primes: an Introduction to Arithmetic Topology Universitext by Morishita, Masanori (18 results)
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Knots and Primes: An Introduction to Arithmetic Topology (Universitext)
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
paperback. Condition: Fine.
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Condition: New. 2nd ed. 2024 edition NO-PA16APR2015-KAP.
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Condition: New.
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Paperback or Softback. Condition: New. Knots and Primes: An Introduction to Arithmetic Topology. Book.
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Condition: As New. Unread book in perfect condition.
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Musubime to Sosu : An Introduction to Arithmetic Topology
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New.
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Knots and Primes: An Introduction to Arithmetic Topology (Universitext)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 50.43
£ 11.98 shipping
Ships from United Kingdom to U.S.A.Quantity: Over 20 available
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Musubime to Sosu : An Introduction to Arithmetic Topology
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition.
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Paperback. Condition: Brand New. 2nd edition. 274 pages. 9.25x6.10x9.21 inches. In Stock.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields. Arithmetic topology is now becoming a powerful guiding principle and driving force to obtain parallel results and new insights between 3-dimensional geometry and number theory.After an informative introduction to Gauss' work, in which arithmetic topology originated, the text reviews a background from both topology and number theory. The analogy between knots in 3-manifolds and primes in number rings, the founding principle of the subject, is based on the étale topological interpretation of primes and number rings. On the basis of this principle, the text explores systematically intimate analogies and parallel results of various concepts and theories between 3-dimensional topology and number theory. The presentation of these analogies begins at an elementary level, gradually building to advanced theories in later chapters. Many results presented here are new and original.References are clearly provided if necessary, and many examples and illustrations are included. Some useful problems are also given for future research. All these components make the book useful for graduate students and researchers in number theory, low dimensional topology, and geometry.This second edition is a corrected and enlarged version of the original one. Misprints and mistakes in the first edition are corrected, references are updated, and some expositions are improved. Because of the remarkable developments in arithmetic topology after the publication of the first edition, the present edition includes two new chapters. One is concerned with idelic class field theory for 3-manifolds and number fields. The other deals with topological and arithmetic Dijkgraaf-Witten theory, which supports a new bridge between arithmetic topology and mathematical physics.
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Taschenbuch. Condition: Neu. Knots and Primes | An Introduction to Arithmetic Topology | Masanori Morishita | Taschenbuch | Universitext | xv | Englisch | 2024 | Springer | EAN 9789819992546 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Condition: new. Questo è un articolo print on demand.
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Knots and Primes
Language: English
Published by Springer Nature Singapore Mai 2024, 2024
ISBN 10: 9819992540 ISBN 13: 9789819992546
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields. Arithmetic topology is now becoming a powerful guiding principle and driving force to obtain parallel results and new insights between 3-dimensional geometry and number theory.After an informative introduction to Gauss' work, in which arithmetic topology originated, the text reviews a background from both topology and number theory. The analogy between knots in 3-manifolds and primes in number rings, the founding principle of the subject, is based on the étale topological interpretation of primes and number rings. On the basis of this principle, the text explores systematically intimate analogies and parallel results of various concepts and theories between 3-dimensional topology and number theory. The presentation of these analogies begins at an elementary level, gradually building to advanced theories in later chapters. Many results presented here are new and original.References are clearly provided if necessary, and many examples and illustrations are included. Some useful problems are also given for future research. All these components make the book useful for graduate students and researchers in number theory, low dimensional topology, and geometry.This second edition is a corrected and enlarged version of the original one. Misprints and mistakes in the first edition are corrected, references are updated, and some expositions are improved. Because of the remarkable developments in arithmetic topology after the publication of the first edition, the present edition includes two new chapters. One is concerned with idelic class field theory for 3-manifolds and number fields. The other deals with topological and arithmetic Dijkgraaf-Witten theory, which supports a new bridge between arithmetic topology and mathematical physics. 276 pp. Englisch.
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Knots and Primes
Language: English
Published by Springer Nature Singapore, 2024
ISBN 10: 9819992540 ISBN 13: 9789819992546
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Is the new, updated edition of the first book on arithmetic topologyProvides a solid foundation of arithmetic topology for graduate students and researchersIncludes useful problems guiding future study for graduate students and researchers.
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Knots and Primes
Language: English
Published by Springer, Springer Mai 2024, 2024
ISBN 10: 9819992540 ISBN 13: 9789819992546
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields. Arithmetic topology is now becoming a powerful guiding principle and driving force to obtain parallel results and new insights between 3-dimensional geometry and number theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 276 pp. Englisch.
