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Cover: 9783540653783 | Homological Algebra | S. I. Gelfand (u. a.) | Taschenbuch | Paperback
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Homological Algebra
Taschenbuch von S. I. Gelfand (u. a.)
Sprache: Englisch

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Beschreibung
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
Zusammenfassung
This book presents a modern approach to homological algebra together with some important applications in algebraic geometry and algebraic topology. The authors Gel'fand and Manin are well-known researchers and Manin, in particular, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
Inhaltsverzeichnis
1. Complexes and Cohomology.- 2. The Language of Categories.- 3. Homology Groups in Algebra and in Geometry.- 4. Derived Categories and Derived Functors.- 5. Triangulated Categories.- 6. Mixed Hodge Structures.- 7. Perverse Sheaves.- 8. D-Modules.- References.- Author Index.
Details
Erscheinungsjahr: 1999
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: v
222 S.
ISBN-13: 9783540653783
ISBN-10: 3540653783
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Gelfand, S. I.
Manin, Yu. I.
Redaktion: Shafarevich, I. R.
Kostrikin, A. I.
Herausgeber: A I Kostrikin/I R Shafarevich
Übersetzung: Manin, Yu. I.
Gelfand, S. I.
Auflage: Softcover reprint of the original 1st ed. 1994
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Maße: 235 x 155 x 13 mm
Von/Mit: S. I. Gelfand (u. a.)
Erscheinungsdatum: 20.05.1999
Gewicht: 0,365 kg
Artikel-ID: 106799821
Zusammenfassung
This book presents a modern approach to homological algebra together with some important applications in algebraic geometry and algebraic topology. The authors Gel'fand and Manin are well-known researchers and Manin, in particular, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
Inhaltsverzeichnis
1. Complexes and Cohomology.- 2. The Language of Categories.- 3. Homology Groups in Algebra and in Geometry.- 4. Derived Categories and Derived Functors.- 5. Triangulated Categories.- 6. Mixed Hodge Structures.- 7. Perverse Sheaves.- 8. D-Modules.- References.- Author Index.
Details
Erscheinungsjahr: 1999
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: v
222 S.
ISBN-13: 9783540653783
ISBN-10: 3540653783
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Gelfand, S. I.
Manin, Yu. I.
Redaktion: Shafarevich, I. R.
Kostrikin, A. I.
Herausgeber: A I Kostrikin/I R Shafarevich
Übersetzung: Manin, Yu. I.
Gelfand, S. I.
Auflage: Softcover reprint of the original 1st ed. 1994
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Maße: 235 x 155 x 13 mm
Von/Mit: S. I. Gelfand (u. a.)
Erscheinungsdatum: 20.05.1999
Gewicht: 0,365 kg
Artikel-ID: 106799821
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