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Among the topics covered are asymptotic analysis; conformal mapping and the Riemann mapping theory; the Euler gamma function, the Riemann zeta function, and a proof of the prime number theorem; elliptic functions, and modular forms. The final chapter gives the first detailed account in textbook format of the recent solution to the sphere packing problem in dimension 8, published by Maryna Viazovska in 2016 ¿ a groundbreaking proof for which Viazovska was awarded the Fields Medal in 2022.
The book is suitable for self-study by graduate students or advanced undergraduates with an interest in complex analysis and its applications, or for use as a textbook for graduate mathematics classes, with enough material for 2-3 semester-long classes. Researchers in complex analysis, analytic number theory, modular forms, and the theory of sphere packing, will also find much to enjoy in the text, including new material not found in standard textbooks.
Among the topics covered are asymptotic analysis; conformal mapping and the Riemann mapping theory; the Euler gamma function, the Riemann zeta function, and a proof of the prime number theorem; elliptic functions, and modular forms. The final chapter gives the first detailed account in textbook format of the recent solution to the sphere packing problem in dimension 8, published by Maryna Viazovska in 2016 ¿ a groundbreaking proof for which Viazovska was awarded the Fields Medal in 2022.
The book is suitable for self-study by graduate students or advanced undergraduates with an interest in complex analysis and its applications, or for use as a textbook for graduate mathematics classes, with enough material for 2-3 semester-long classes. Researchers in complex analysis, analytic number theory, modular forms, and the theory of sphere packing, will also find much to enjoy in the text, including new material not found in standard textbooks.
| Erscheinungsjahr: | 2023 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
XII
296 S. 18 s/w Illustr. 7 farbige Illustr. 18 b/w and 7 col. ill. |
| ISBN-13: | 9783110796780 |
| ISBN-10: | 3110796783 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Romik, Dan |
| Auflage: | 1. Auflage |
| Hersteller: |
De Gruyter
de Gruyter, Walter, GmbH |
| Verantwortliche Person für die EU: | Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com |
| Maße: | 240 x 170 x 20 mm |
| Von/Mit: | Dan Romik |
| Erscheinungsdatum: | 21.08.2023 |
| Gewicht: | 0,589 kg |
| Erscheinungsjahr: | 2023 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
XII
296 S. 18 s/w Illustr. 7 farbige Illustr. 18 b/w and 7 col. ill. |
| ISBN-13: | 9783110796780 |
| ISBN-10: | 3110796783 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Romik, Dan |
| Auflage: | 1. Auflage |
| Hersteller: |
De Gruyter
de Gruyter, Walter, GmbH |
| Verantwortliche Person für die EU: | Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com |
| Maße: | 240 x 170 x 20 mm |
| Von/Mit: | Dan Romik |
| Erscheinungsdatum: | 21.08.2023 |
| Gewicht: | 0,589 kg |
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