Real algebraic varieties
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous. They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is...
| Uniform Title: | Variétés algébriques réelles. English |
|---|---|
| Main Author: | Mangolte, Frédéric. |
| Other Authors: | Maclean, Catriona,, SpringerLink (Online service) |
| Format: | eBook |
| Language: | English French |
| Published: |
Cham :
Springer,
2020.
Cham : 2020. |
| Physical Description: |
1 online resource (453 pages). |
| Series: |
Springer monographs in mathematics.
|
| Subjects: |
| LEADER | 06053cam a2201105 a 4500 | ||
|---|---|---|---|
| 001 | 1197867567 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un|---aucuu | ||
| 008 | 200926s2020 sz o 000 0 eng d | ||
| 015 | |a GBC0K0381 |2 bnb | ||
| 016 | 7 | |a 019953903 |2 Uk | |
| 019 | |a 1197840235 |a 1198395164 |a 1198558113 |a 1223099155 |a 1225898314 | ||
| 020 | |a 9783030431044 |q (electronic bk.) | ||
| 020 | |a 3030431045 |q (electronic bk.) | ||
| 020 | |z 9783030431037 | ||
| 020 | |z 3030431037 | ||
| 024 | 8 | |a 10.1007/978-3-030-43 | |
| 035 | |a (OCoLC)1197867567 |z (OCoLC)1197840235 |z (OCoLC)1198395164 |z (OCoLC)1198558113 |z (OCoLC)1223099155 |z (OCoLC)1225898314 | ||
| 037 | |b Springer | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d LQU |d EBLCP |d NLW |d GW5XE |d OCLCO |d YDX |d UKAHL |d OCLCF |d DCT |d S2H |d UKMGB |d N$T |d OCLCO |d OCLCQ |d OCLCO |d S9M |d OCLCL | ||
| 041 | 1 | |a eng |h fre | |
| 049 | |a COM6 | ||
| 050 | 4 | |a QA564 | |
| 082 | 0 | 4 | |a 516.3/5 |2 23 |
| 100 | 1 | |a Mangolte, Frédéric. | |
| 240 | 1 | 0 | |a Variétés algébriques réelles. |l English. |
| 245 | 1 | 0 | |a Real algebraic varieties / |c Frédéric Mangolte. |
| 260 | |a Cham : |b Springer, |c 2020. | ||
| 264 | 1 | |a Cham : |b Springer, |c 2020. | |
| 300 | |a 1 online resource (453 pages). | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 347 | |a text file. | ||
| 347 | |b PDF. | ||
| 490 | 1 | |a Springer Monographs in Mathematics. | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface -- Introduction, Algebraic models of smooth manifolds -- 1. Algebraic varieties -- 2. R-varieties -- 3. Topology of varieties with an involution -- 4. Surfaces -- 5. Algebraic approximation -- 6. Three dimensional varieties -- Appendices -- Bibliography -- Glossary of Notations -- Index -- List of Examples -- List of Figures. | |
| 520 | |a This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous. They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the "folklore". In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert's famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter. | ||
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 0 | |a Variables (Mathematics) | |
| 650 | 0 | |a Manifolds (Mathematics) | |
| 650 | 0 | |a Complex manifolds. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 6 | |a Variables (Mathématiques) | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 6 | |a Variétés complexes. | |
| 650 | 6 | |a Fonctions d'une variable complexe. | |
| 650 | 7 | |a Analytic geometry. |2 bicssc. | |
| 650 | 7 | |a Complex analysis, complex variables. |2 bicssc. | |
| 650 | 7 | |a Algebraic geometry. |2 bicssc. | |
| 650 | 7 | |a Mathematics |x Topology. |2 bisacsh. | |
| 650 | 7 | |a Mathematics |x Mathematical Analysis. |2 bisacsh. | |
| 650 | 7 | |a Mathematics |x Geometry |x Algebraic. |2 bisacsh. | |
| 650 | 7 | |a Geometría algebraica. |2 embne. | |
| 650 | 7 | |a Matemáticas |x Topología. |2 embne. | |
| 650 | 7 | |a Complex manifolds. |2 fast. | |
| 650 | 7 | |a Functions of complex variables. |2 fast. | |
| 650 | 7 | |a Geometry, Algebraic. |2 fast. | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast. | |
| 650 | 7 | |a Variables (Mathematics) |2 fast. | |
| 700 | 1 | |a Maclean, Catriona, |e translator. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 776 | 0 | 8 | |i Print version: |a Mangolte, édéric |t Real Algebraic Varieties |d Cham : Springer International Publishing AG,c2020 |z 9783030431037. |
| 830 | 0 | |a Springer monographs in mathematics. | |
| 907 | |a .b62017226 |b multi |c - |d 201130 |e 240701 | ||
| 998 | |a (3)cue |a cu |b 240404 |c m |d z |e - |f eng |g sz |h 0 |i 2 | ||
| 948 | |a MARCIVE Overnight, in 2024.04 | ||
| 948 | |a MARCIVE Overnight, in 2023.02 | ||
| 948 | |a MARCIVE Over, 07/2021 | ||
| 948 | |a MARCIVE Comp, 03/2021 | ||
| 948 | |a MARCIVE Comp, 12/2020 | ||
| 933 | |a Marcive found issue: "700 1 |a Maclean, Catriona, |e translator." | ||
| 933 | |a Marcive found issue: "240 10 |a Varie⁺ѓte⁺ѓs alge⁺ѓbriques re⁺ѓelles. |l English" | ||
| 994 | |a 92 |b COM | ||
| 995 | |a Loaded with m2btab.ltiac in 2024.04 | ||
| 995 | |a Loaded with m2btab.elec in 2024.04 | ||
| 995 | |a Loaded with m2btab.ltiac in 2023.02 | ||
| 995 | |a Loaded with m2btab.ltiac in 2021.07 | ||
| 995 | |a Loaded with m2btab.elec in 2021.06 | ||
| 995 | |a Loaded with m2btab.ltiac in 2021.03 | ||
| 995 | |a Loaded with m2btab.ltiac 2020.12 | ||
| 995 | |a Loaded with m2btab.elec 2020.12 | ||
| 995 | |a Loaded with m2btab.auth 2020.12 | ||
| 995 | |a Loaded with m2btab.auth 2020.12 | ||
| 995 | |a Loaded with m2btab.auth 2020.12 | ||
| 995 | |a Loaded with m2btab.auth in 2021.07 | ||
| 995 | |a Loaded with m2btab.auth in 2021.07 | ||
| 995 | |a Loaded with m2btab.auth in 2024.06 | ||
| 999 | |e z | ||
| 999 | |a cue | ||
| 989 | |d cueme |e - - |f - - |g - |h 0 |i 0 |j 200 |k 240404 |l $0.00 |m |n - - |o - |p 0 |q 0 |t 0 |x 0 |w SpringerLink |1 .i151556908 |u http://ezproxy.coloradomesa.edu/login?url=https://link.springer.com/10.1007/978-3-030-43104-4 |3 SpringerLink |z Click here for access | ||