Holomorphic Differentials as Functions of Moduli (Classic Reprint)

Language: English

Published by Forgotten Books, 2024

1334016127 / 9781334016127

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Seller: Forgotten Books, London, United KingdomForgotten Books

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Print on Demand. This book explores the complex world of Riemann surfaces, delving into their intricate geometry and the fascinating interplay between their properties and the functions that define them. Building upon the author's previous work, the book offers a rigorous examination of holomorphic differentialsââ âfunctions crucial to understanding the behavior of these surfacesââ âand their relationship to the underlying geometric structures. The book utilizes a unique approach, visualizing the space of Riemann surfaces as a bounded domain within complex number space. This powerful representation allows for a deeper analysis of the relationships between the moduliââ âparameters that govern the shape of these surfacesââ âand the associated holomorphic differentials. This approach provides a unified framework for understanding the interplay between geometry and analysis in this area of mathematics. The author also investigates the role of Weierstrass pointsââ âspecial points on Riemann surfacesââ âand their connection to the moduli. Furthermore, the book explores the connections between the theory of Riemann surfaces and the theory of algebraic curves, showcasing the fundamental role that these surfaces play in understanding the structure of these important geometric objects. The book concludes with a discussion of the mapping of Teichmüller space, a fundamental space in the theory of Riemann surfaces, into the Siegel space of symmetric matrices, highlighting the deep and elegant relationships that exist between these complex mathematical structures. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…

Seller Inventory # 9781334016127_0

Title
Holomorphic Differentials as Functions of Moduli (Classic Reprint)
Author
Lipman Bers
Publisher
Forgotten Books
Publication year
2024
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1334016127
ISBN 13
9781334016127
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

5-star seller

AbeBooks seller since June 2, 2021

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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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