Riemann surfaces and algebraic curves: a first course in Hurwitz theory
Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introd...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York NY
Cambridge University Press
[2016]
|
| Schriftenreihe: | London Mathematical Society student texts
87 |
| Schlagworte: | |
| Zusammenfassung: | Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes |
| Beschreibung: | xii, 183 Seiten Illustrationen, Diagramme |
| ISBN: | 9781107149243 9781316603529 |
Internformat
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| 100 | 1 | |a Cavalieri, Renzo |d 1976- |0 (DE-588)1126047074 |4 aut | |
| 245 | 1 | 0 | |a Riemann surfaces and algebraic curves |b a first course in Hurwitz theory |c Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University |
| 264 | 1 | |a New York NY |b Cambridge University Press |c [2016] | |
| 264 | 4 | |c © 2016 | |
| 300 | |a xii, 183 Seiten |b Illustrationen, Diagramme | ||
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| 490 | 1 | |a London Mathematical Society student texts |v 87 | |
| 520 | |a Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes | ||
| 650 | 4 | |a Riemann surfaces | |
| 650 | 4 | |a Curves, Algebraic | |
| 650 | 4 | |a Geometry, Algebraic | |
| 700 | 1 | |a Miles, Eric |0 (DE-588)1118631137 |4 aut | |
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| author_GND | (DE-588)1126047074 (DE-588)1118631137 |
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| bvnumber | BV043975958 |
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| ctrlnum | (OCoLC)968687956 (DE-599)BVBBV043975958 |
| dewey-full | 515/.93 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.93 |
| dewey-search | 515/.93 |
| dewey-sort | 3515 293 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV043975958 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:40:09Z |
| institution | BVB |
| isbn | 9781107149243 9781316603529 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029384446 |
| oclc_num | 968687956 |
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| owner_facet | DE-703 DE-19 DE-BY-UBM DE-188 DE-11 DE-83 |
| physical | xii, 183 Seiten Illustrationen, Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | London Mathematical Society student texts |
| series2 | London Mathematical Society student texts |
| spelling | Cavalieri, Renzo 1976- (DE-588)1126047074 aut Riemann surfaces and algebraic curves a first course in Hurwitz theory Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University New York NY Cambridge University Press [2016] © 2016 xii, 183 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier London Mathematical Society student texts 87 Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes Riemann surfaces Curves, Algebraic Geometry, Algebraic Miles, Eric (DE-588)1118631137 aut London Mathematical Society student texts 87 (DE-604)BV000841726 87 |
| spellingShingle | Cavalieri, Renzo 1976- Miles, Eric Riemann surfaces and algebraic curves a first course in Hurwitz theory London Mathematical Society student texts Riemann surfaces Curves, Algebraic Geometry, Algebraic |
| title | Riemann surfaces and algebraic curves a first course in Hurwitz theory |
| title_auth | Riemann surfaces and algebraic curves a first course in Hurwitz theory |
| title_exact_search | Riemann surfaces and algebraic curves a first course in Hurwitz theory |
| title_full | Riemann surfaces and algebraic curves a first course in Hurwitz theory Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University |
| title_fullStr | Riemann surfaces and algebraic curves a first course in Hurwitz theory Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University |
| title_full_unstemmed | Riemann surfaces and algebraic curves a first course in Hurwitz theory Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University |
| title_short | Riemann surfaces and algebraic curves |
| title_sort | riemann surfaces and algebraic curves a first course in hurwitz theory |
| title_sub | a first course in Hurwitz theory |
| topic | Riemann surfaces Curves, Algebraic Geometry, Algebraic |
| topic_facet | Riemann surfaces Curves, Algebraic Geometry, Algebraic |
| volume_link | (DE-604)BV000841726 |
| work_keys_str_mv | AT cavalierirenzo riemannsurfacesandalgebraiccurvesafirstcourseinhurwitztheory AT mileseric riemannsurfacesandalgebraiccurvesafirstcourseinhurwitztheory |