114,95 €*
Versandkostenfrei per Post / DHL
Lieferzeit 1-2 Wochen
The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining ¿ech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.
The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining ¿ech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| ISBN-13: | 9789811207280 |
| ISBN-10: | 9811207283 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Ugo Bruzzo & Beatriz Grana Otero |
| Hersteller: | World Scientific |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 235 x 157 x 16 mm |
| Von/Mit: | Ugo Bruzzo & Beatriz Grana Otero |
| Erscheinungsdatum: | 28.02.2020 |
| Gewicht: | 0,468 kg |
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| ISBN-13: | 9789811207280 |
| ISBN-10: | 9811207283 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Ugo Bruzzo & Beatriz Grana Otero |
| Hersteller: | World Scientific |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 235 x 157 x 16 mm |
| Von/Mit: | Ugo Bruzzo & Beatriz Grana Otero |
| Erscheinungsdatum: | 28.02.2020 |
| Gewicht: | 0,468 kg |
Ähnliche Produkte
Lieferzeit 1-2 Wochen
Lieferzeit 2-4 Werktage
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 2-4 Werktage
Lieferzeit 1-2 Wochen
Lieferzeit 4-7 Werktage
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 4-7 Werktage