Can I read Topics in Complex Analysis on EtoBox?

Topics in Complex Analysis by Dan Romik is a nonfiction available to read on EtoBox.

What is Topics in Complex Analysis about?

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 math

Who reads Topics in Complex Analysis?

Author

Dan Romik

Publisher

de Gruyter GmbH, Walter

Published

2023

Language

EN

ISBN

9783110796780

Category

nonfiction

Subjects

Mathematics, The Complex Variable, Stem