Number Theory III: Diophantine Geometry
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991
|
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences
60 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | From the reviews of the first printing of this book, published as Volume 60 of the Encyclopaedia of Mathematical Sciences: "Between number theory and geometry there have been several stimulating influences, and this book records of these enterprises. This author, who has been at the centre of such research for many years, is one of the best guides a reader can hope for. The book is full of beautiful results, open questions, stimulating conjectures and suggestions where to look for future developments. This volume bears witness of the broad scope of knowledge of the author, and the influence of several people who have commented on the manuscript before publication ... Although in the series of number theory, this volume is on diophantine geometry, and the reader will notice that algebraic geometry is present in every chapter. ... The style of the book is clear. Ideas are well explained, and the author helps the reader to pass by several technicalities. Reading and rereading this book I noticed that the topics are treated in a nice, coherent way, however not in a historically logical order. ...The author writes "At the moment of writing, the situation is in flux...". That is clear from the scope of this book. In the area described many conjectures, important results, new developments took place in the last 30 years. And still new results come at a breathtaking speed in this rich field. In the introduction the author notices: "I have included several connections of diophantine geometry with other parts of mathematics, such as PDE and Laplacians, complex analysis, and differential geometry. A grand unification is going on, with multiple connections between these fields." Such a unification becomes clear in this beautiful book, which we recommend for mathematicians of all disciplines." Medelingen van het wiskundig genootschap, 1994 "... It is fascinating to see how geometry, arithmetic and complex analysis grow together!..." Monatshefte für Mathematik, 1993 |
| Beschreibung: | 1 Online-Ressource (XIII, 296 p) |
| ISBN: | 9783642582271 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-642-58227-1 |
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Datensatz im Suchindex
| _version_ | 1804153097542434816 |
|---|---|
| any_adam_object | |
| author2 | Lang, Serge |
| author2_role | edt |
| author2_variant | s l sl |
| author_facet | Lang, Serge |
| building | Verbundindex |
| bvnumber | BV042422718 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-58227-1 |
| format | Electronic eBook |
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| id | DE-604.BV042422718 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642582271 |
| issn | 0938-0396 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858135 |
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| series | Encyclopaedia of Mathematical Sciences |
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| spelling | Number Theory III Diophantine Geometry edited by Serge Lang Berlin, Heidelberg Springer Berlin Heidelberg 1991 1 Online-Ressource (XIII, 296 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 60 0938-0396 From the reviews of the first printing of this book, published as Volume 60 of the Encyclopaedia of Mathematical Sciences: "Between number theory and geometry there have been several stimulating influences, and this book records of these enterprises. This author, who has been at the centre of such research for many years, is one of the best guides a reader can hope for. The book is full of beautiful results, open questions, stimulating conjectures and suggestions where to look for future developments. This volume bears witness of the broad scope of knowledge of the author, and the influence of several people who have commented on the manuscript before publication ... Although in the series of number theory, this volume is on diophantine geometry, and the reader will notice that algebraic geometry is present in every chapter. ... The style of the book is clear. Ideas are well explained, and the author helps the reader to pass by several technicalities. Reading and rereading this book I noticed that the topics are treated in a nice, coherent way, however not in a historically logical order. ...The author writes "At the moment of writing, the situation is in flux...". That is clear from the scope of this book. In the area described many conjectures, important results, new developments took place in the last 30 years. And still new results come at a breathtaking speed in this rich field. In the introduction the author notices: "I have included several connections of diophantine geometry with other parts of mathematics, such as PDE and Laplacians, complex analysis, and differential geometry. A grand unification is going on, with multiple connections between these fields." Such a unification becomes clear in this beautiful book, which we recommend for mathematicians of all disciplines." Medelingen van het wiskundig genootschap, 1994 "... It is fascinating to see how geometry, arithmetic and complex analysis grow together!..." Monatshefte für Mathematik, 1993 Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Diophantische Geometrie (DE-588)4150021-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1982 New York, NY gnd-content (DE-588)4143413-4 Aufsatzsammlung gnd-content Diophantische Geometrie (DE-588)4150021-0 s DE-604 Zahlentheorie (DE-588)4067277-3 s Algebraische Zahlentheorie (DE-588)4001170-7 s Lang, Serge edt Erscheint auch als Druck-Ausgabe 978-3-540-61223-0 Erscheint auch als Druck-Ausgabe 3-540-53004-5 Encyclopaedia of Mathematical Sciences 60 (DE-604)BV035421342 60 https://doi.org/10.1007/978-3-642-58227-1 Verlag Volltext |
| spellingShingle | Number Theory III Diophantine Geometry Encyclopaedia of Mathematical Sciences Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd Diophantische Geometrie (DE-588)4150021-0 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4067277-3 (DE-588)4150021-0 (DE-588)1071861417 (DE-588)4143413-4 |
| title | Number Theory III Diophantine Geometry |
| title_auth | Number Theory III Diophantine Geometry |
| title_exact_search | Number Theory III Diophantine Geometry |
| title_full | Number Theory III Diophantine Geometry edited by Serge Lang |
| title_fullStr | Number Theory III Diophantine Geometry edited by Serge Lang |
| title_full_unstemmed | Number Theory III Diophantine Geometry edited by Serge Lang |
| title_short | Number Theory III |
| title_sort | number theory iii diophantine geometry |
| title_sub | Diophantine Geometry |
| topic | Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd Diophantische Geometrie (DE-588)4150021-0 gnd |
| topic_facet | Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Algebraische Zahlentheorie Zahlentheorie Diophantische Geometrie Konferenzschrift 1982 New York, NY Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-642-58227-1 |
| volume_link | (DE-604)BV035421342 |
| work_keys_str_mv | AT langserge numbertheoryiiidiophantinegeometry |