Several complex variables and complex manifolds.: II /
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgradua...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
1982.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
no. 66. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject. |
| Beschreibung: | Title from publishers bibliographic system (viewed on 22 Dec 2011). |
| Beschreibung: | 1 online resource (1 online resource) |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9781107361218 1107361214 9780511629327 051162932X 9781139884099 1139884093 1107366127 9781107366121 1107368677 9781107368675 1299403921 9781299403925 1107363667 9781107363663 |
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| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 66 | |
| 500 | |a Title from publishers bibliographic system (viewed on 22 Dec 2011). | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 520 | |a This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject. | ||
| 505 | 0 | |a Cover; Title; Copyright; Preface; Contents; Chapter 5. Calculus on Complex Manifolds; Introduction.; 1. Review of Linear Algebra; 2. Calculus on Differential Manifolds; 3. Complexification; 4. Complex Linear Algebra; 5. Generalities on Complex Vector Bundles; 6. Tangent and Cotangent Bundles of a Complex Manifold; 7. Calculus on a Complex Manifold; 8. The Dolbeault-Grothendieck Lemma; 9. Holomorphic Vector Bundles on Compact Complex Manifolds; 10. Pseudoconvexivity and Stein Manifolds; Chapter 6. Sheaf Theory; Introduction; 1. Sheaves and Presheaves; 2. Envelope of Holomorphy | |
| 505 | 8 | |a 3. Sheaf CohomologyChapter 7. Coherent Sheaves; Introduction.; 1. Coherent Sheaves; 2. Coherent Sheaves on a Stein Manifold; 3. The Finiteness Theorem of Cartan and Serre; 4. The Finiteness Theorem of Grauert; 5. Coherent Sheaves on Protective Space; 6. The Kodaira Embedding Theorem; Bibliography; Index | |
| 546 | |a English. | ||
| 650 | 0 | |a Functions of several complex variables. |0 http://id.loc.gov/authorities/subjects/sh85052358 | |
| 650 | 0 | |a Manifolds (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85080549 | |
| 650 | 6 | |a Fonctions de plusieurs variables complexes. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Complex Analysis. |2 bisacsh | |
| 650 | 7 | |a Functions of several complex variables |2 fast | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast | |
| 758 | |i has work: |a Several complex variables and complex manifolds II (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG4FYJbMqMBXFhdw8WMVYd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Field, Mike. |t Several Complex Variables and Complex Manifolds II. |d Cambridge : Cambridge University Press, 1982 |z 9780521288880 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 66. |0 http://id.loc.gov/authorities/names/n42015587 | |
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| adam_text | |
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| author | Field, Mike |
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| contents | Cover; Title; Copyright; Preface; Contents; Chapter 5. Calculus on Complex Manifolds; Introduction.; 1. Review of Linear Algebra; 2. Calculus on Differential Manifolds; 3. Complexification; 4. Complex Linear Algebra; 5. Generalities on Complex Vector Bundles; 6. Tangent and Cotangent Bundles of a Complex Manifold; 7. Calculus on a Complex Manifold; 8. The Dolbeault-Grothendieck Lemma; 9. Holomorphic Vector Bundles on Compact Complex Manifolds; 10. Pseudoconvexivity and Stein Manifolds; Chapter 6. Sheaf Theory; Introduction; 1. Sheaves and Presheaves; 2. Envelope of Holomorphy 3. Sheaf CohomologyChapter 7. Coherent Sheaves; Introduction.; 1. Coherent Sheaves; 2. Coherent Sheaves on a Stein Manifold; 3. The Finiteness Theorem of Cartan and Serre; 4. The Finiteness Theorem of Grauert; 5. Coherent Sheaves on Protective Space; 6. The Kodaira Embedding Theorem; Bibliography; Index |
| ctrlnum | (OCoLC)776951102 |
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| id | ZDB-4-EBA-ocn776951102 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:18:31Z |
| institution | BVB |
| isbn | 9781107361218 1107361214 9780511629327 051162932X 9781139884099 1139884093 1107366127 9781107366121 1107368677 9781107368675 1299403921 9781299403925 1107363667 9781107363663 |
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| publishDate | 1982 |
| publishDateSearch | 1982 |
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| publisher | Cambridge University Press, |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society Lecture Note Series ; |
| spelling | Field, Mike. http://id.loc.gov/authorities/names/n81138123 Several complex variables and complex manifolds. II / Mike Field. Cambridge : Cambridge University Press, 1982. 1 online resource (1 online resource) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society Lecture Note Series ; no. 66 Title from publishers bibliographic system (viewed on 22 Dec 2011). Print version record. Includes bibliographical references and indexes. This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject. Cover; Title; Copyright; Preface; Contents; Chapter 5. Calculus on Complex Manifolds; Introduction.; 1. Review of Linear Algebra; 2. Calculus on Differential Manifolds; 3. Complexification; 4. Complex Linear Algebra; 5. Generalities on Complex Vector Bundles; 6. Tangent and Cotangent Bundles of a Complex Manifold; 7. Calculus on a Complex Manifold; 8. The Dolbeault-Grothendieck Lemma; 9. Holomorphic Vector Bundles on Compact Complex Manifolds; 10. Pseudoconvexivity and Stein Manifolds; Chapter 6. Sheaf Theory; Introduction; 1. Sheaves and Presheaves; 2. Envelope of Holomorphy 3. Sheaf CohomologyChapter 7. Coherent Sheaves; Introduction.; 1. Coherent Sheaves; 2. Coherent Sheaves on a Stein Manifold; 3. The Finiteness Theorem of Cartan and Serre; 4. The Finiteness Theorem of Grauert; 5. Coherent Sheaves on Protective Space; 6. The Kodaira Embedding Theorem; Bibliography; Index English. Functions of several complex variables. http://id.loc.gov/authorities/subjects/sh85052358 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Fonctions de plusieurs variables complexes. Variétés (Mathématiques) MATHEMATICS Complex Analysis. bisacsh Functions of several complex variables fast Manifolds (Mathematics) fast has work: Several complex variables and complex manifolds II (Text) https://id.oclc.org/worldcat/entity/E39PCG4FYJbMqMBXFhdw8WMVYd https://id.oclc.org/worldcat/ontology/hasWork Print version: Field, Mike. Several Complex Variables and Complex Manifolds II. Cambridge : Cambridge University Press, 1982 9780521288880 London Mathematical Society lecture note series ; no. 66. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552483 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552483 Volltext |
| spellingShingle | Field, Mike Several complex variables and complex manifolds. London Mathematical Society lecture note series ; Cover; Title; Copyright; Preface; Contents; Chapter 5. Calculus on Complex Manifolds; Introduction.; 1. Review of Linear Algebra; 2. Calculus on Differential Manifolds; 3. Complexification; 4. Complex Linear Algebra; 5. Generalities on Complex Vector Bundles; 6. Tangent and Cotangent Bundles of a Complex Manifold; 7. Calculus on a Complex Manifold; 8. The Dolbeault-Grothendieck Lemma; 9. Holomorphic Vector Bundles on Compact Complex Manifolds; 10. Pseudoconvexivity and Stein Manifolds; Chapter 6. Sheaf Theory; Introduction; 1. Sheaves and Presheaves; 2. Envelope of Holomorphy 3. Sheaf CohomologyChapter 7. Coherent Sheaves; Introduction.; 1. Coherent Sheaves; 2. Coherent Sheaves on a Stein Manifold; 3. The Finiteness Theorem of Cartan and Serre; 4. The Finiteness Theorem of Grauert; 5. Coherent Sheaves on Protective Space; 6. The Kodaira Embedding Theorem; Bibliography; Index Functions of several complex variables. http://id.loc.gov/authorities/subjects/sh85052358 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Fonctions de plusieurs variables complexes. Variétés (Mathématiques) MATHEMATICS Complex Analysis. bisacsh Functions of several complex variables fast Manifolds (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052358 http://id.loc.gov/authorities/subjects/sh85080549 |
| title | Several complex variables and complex manifolds. |
| title_auth | Several complex variables and complex manifolds. |
| title_exact_search | Several complex variables and complex manifolds. |
| title_full | Several complex variables and complex manifolds. II / Mike Field. |
| title_fullStr | Several complex variables and complex manifolds. II / Mike Field. |
| title_full_unstemmed | Several complex variables and complex manifolds. II / Mike Field. |
| title_short | Several complex variables and complex manifolds. |
| title_sort | several complex variables and complex manifolds |
| topic | Functions of several complex variables. http://id.loc.gov/authorities/subjects/sh85052358 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Fonctions de plusieurs variables complexes. Variétés (Mathématiques) MATHEMATICS Complex Analysis. bisacsh Functions of several complex variables fast Manifolds (Mathematics) fast |
| topic_facet | Functions of several complex variables. Manifolds (Mathematics) Fonctions de plusieurs variables complexes. Variétés (Mathématiques) MATHEMATICS Complex Analysis. Functions of several complex variables |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552483 |
| work_keys_str_mv | AT fieldmike severalcomplexvariablesandcomplexmanifoldsii |