Elementary Algebraic Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1977
|
| Schriftenreihe: | Graduate Texts in Mathematics
44 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book was written to make learning introductory algebraic geometry as easy as possible. It is designed for the general first- and second-year graduate student, as well as for the nonspecialist; the only prerequisites are a one-year course in algebra and a little complex analysis. There are many examples and pictures in the book. One's sense of intuition is largely built up from exposure to concrete examples, and intuition in algebraic geometry is no exception. I have also tried to avoid too much generalization. If one understands the core of an idea in a concrete setting, later generalizations become much more meaningful. There are exercises at the end of most sections so that the reader can test his understanding of the material. Some are routine, others are more challenging. Occasionally, easily established results used in the text have been made into exercises. And from time to time, proofs of topics not covered in the text are sketched and the reader is asked to fill in the details. Chapter I is of an introductory nature. Some of the geometry of a few specific algebraic curves is worked out, using a tactical approach that might naturally be tried by one not familiar with the general methods introduced later in the book. Further examples in this chapter suggest other basic properties of curves. In Chapter II, we look at curves more rigorously and carefully |
| Beschreibung: | 1 Online-Ressource (309p) |
| ISBN: | 9781461568995 9781461569015 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4615-6899-5 |
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| 500 | |a This book was written to make learning introductory algebraic geometry as easy as possible. It is designed for the general first- and second-year graduate student, as well as for the nonspecialist; the only prerequisites are a one-year course in algebra and a little complex analysis. There are many examples and pictures in the book. One's sense of intuition is largely built up from exposure to concrete examples, and intuition in algebraic geometry is no exception. I have also tried to avoid too much generalization. If one understands the core of an idea in a concrete setting, later generalizations become much more meaningful. There are exercises at the end of most sections so that the reader can test his understanding of the material. Some are routine, others are more challenging. Occasionally, easily established results used in the text have been made into exercises. And from time to time, proofs of topics not covered in the text are sketched and the reader is asked to fill in the details. Chapter I is of an introductory nature. Some of the geometry of a few specific algebraic curves is worked out, using a tactical approach that might naturally be tried by one not familiar with the general methods introduced later in the book. Further examples in this chapter suggest other basic properties of curves. In Chapter II, we look at curves more rigorously and carefully | ||
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4615-6899-5 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781461568995 9781461569015 |
| issn | 0072-5285 |
| language | English |
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| series | Graduate Texts in Mathematics |
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| spelling | Kendig, Keith Verfasser aut Elementary Algebraic Geometry by Keith Kendig New York, NY Springer New York 1977 1 Online-Ressource (309p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 44 0072-5285 This book was written to make learning introductory algebraic geometry as easy as possible. It is designed for the general first- and second-year graduate student, as well as for the nonspecialist; the only prerequisites are a one-year course in algebra and a little complex analysis. There are many examples and pictures in the book. One's sense of intuition is largely built up from exposure to concrete examples, and intuition in algebraic geometry is no exception. I have also tried to avoid too much generalization. If one understands the core of an idea in a concrete setting, later generalizations become much more meaningful. There are exercises at the end of most sections so that the reader can test his understanding of the material. Some are routine, others are more challenging. Occasionally, easily established results used in the text have been made into exercises. And from time to time, proofs of topics not covered in the text are sketched and the reader is asked to fill in the details. Chapter I is of an introductory nature. Some of the geometry of a few specific algebraic curves is worked out, using a tactical approach that might naturally be tried by one not familiar with the general methods introduced later in the book. Further examples in this chapter suggest other basic properties of curves. In Chapter II, we look at curves more rigorously and carefully Mathematics Mathematics, general Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 Graduate Texts in Mathematics 44 (DE-604)BV035421258 44 https://doi.org/10.1007/978-1-4615-6899-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kendig, Keith Elementary Algebraic Geometry Graduate Texts in Mathematics Mathematics Mathematics, general Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4151278-9 |
| title | Elementary Algebraic Geometry |
| title_auth | Elementary Algebraic Geometry |
| title_exact_search | Elementary Algebraic Geometry |
| title_full | Elementary Algebraic Geometry by Keith Kendig |
| title_fullStr | Elementary Algebraic Geometry by Keith Kendig |
| title_full_unstemmed | Elementary Algebraic Geometry by Keith Kendig |
| title_short | Elementary Algebraic Geometry |
| title_sort | elementary algebraic geometry |
| topic | Mathematics Mathematics, general Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Algebraische Geometrie Einführung |
| url | https://doi.org/10.1007/978-1-4615-6899-5 |
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