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.
Reihe
Auflage
Softcover reprint of the original 1st ed. 1994
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 13 mm
Gewicht
ISBN-13
978-3-540-65378-3 (9783540653783)
DOI
10.1007/978-3-642-57911-0
Schweitzer Klassifikation
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.