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Homological Algebra

  • Fester Einband
  • 222 Seiten
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This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern... Weiterlesen
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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 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.

Autorentext

:Karin Bock ist wissenschaftliche Assistentin im Fachgebiet Bildung - Medien - Wirtschaft/Allg. Erziehungwissenschaft der TU Chemnitz
Dr. Werner Thole ist Professor für Jugend- und Erwachsenenbildung an der Universität Kassel.



Inhalt
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.

Produktinformationen

Titel: Homological Algebra
Untertitel: Homological Algebra
Editor:
Autor:
Übersetzer:
EAN: 9783540533733
ISBN: 978-3-540-53373-3
Format: Fester Einband
Herausgeber: Springer, Berlin
Genre: Mathematik
Anzahl Seiten: 222
Gewicht: 1120g
Größe: H239mm x B19mm x T163mm
Jahr: 1994
Auflage: 1994

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