Topics in Complex Analysis (eng)
Language: English
Published by Walter de Gruyter, 2023
- Softcover
- New
Seller: Brook Bookstore On Demand, Napoli, NA, ItalyBrook Bookstore On Demand
AbeBooks seller since October 11, 2022
Condition: New
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- Title
- Topics in Complex Analysis (eng)
- Author
- Romik, Dan
- Publisher
- Walter de Gruyter
- Publication year
- 2023
- Condition
- new
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3110796783
- ISBN 13
- 9783110796780
- Item weight
- 0.59 kilograms
This graduate-level mathematics textbook provides an in-depth and readable exposition of selected topics in complex analysis. The material spans both the standard theory at a level suitable for a first-graduate class on the subject and several advanced topics delving deeper into the subject and applying the theory in different directions. The focus is on beautiful applications of complex analysis to geometry and number theory. The text is accompanied by beautiful figures illustrating many of the concepts and proofs.
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.
"Synopsis" may belong to another edition of this title.
About the Author
Dan Romik is a professor of mathematics at the University of California, Davis. His research interests include combinatorics, number theory, probability theory, asymptotic analysis, and more. His 2016 paper on the moving sofa problem, an unsolved problem in geometry asking what is the largest piece of two-dimensional furniture that can be moved around a corner in an L-shaped hallway, was featured in news articles from media outlets in the UK, US, South Korea, and the Netherlands, and was a subject of a video on the popular online video channel Numberphile. His previous book, The Surprising Mathematics of Longest Increasing Subsequences, was published in 2015.
"About the title" may belong to another edition of this title.
Brook Bookstore On Demand
Napoli, NA, Italy
AbeBooks seller since October 11, 2022
Shipping rates from Italy to U.S.A.
| Item | 25 to 40 business days | 60 to 60 business days |
|---|---|---|
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Brook Bookstore On Demand offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses.
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