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Synopsis
A clear introduction to automorphic functions and their geometric connections.
From the basics of linear and conformal transformations to the geometry of triangle functions, this edition guides readers through the core ideas of automorphic functions with practical clarity. It emphasizes how complex analysis tools illuminate patterns, symmetries, and mapping properties in the plane.
Designed for learners of advanced calculus and complex analysis, the book builds up concepts step by step and uses concrete examples to illustrate abstract results. It aims to make a traditionally tough subject accessible without sacrificing mathematical rigor.
- Foundations of linear and conformal transformations and their impact on complex planes
- How automorphic functions arise from mapping half-planes and triangles
- Structure and classification of transformation groups tied to geometric figures
- Introduction to fundamental regions, cross-ratios, and the idea of automorphic mappings
Ideal for readers of classical complex analysis seeking a solid, approachable entry into automorphic functions.
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An Introduction to the Theory of Automorphic Functions (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the intricacies of automorphic functions - a subject that has captivated mathematicians for decades and is rooted in complex analysis. It adeptly weaves together the theory's historical underpinnings with its potent applications in fields such as number theory and geometry. The author guides readers through the fascinating world of linear transformations and Fuchsian groups, laying bare the profound connections between complex numbers and geometric configurations. With rigor and clarity, the book presents concepts like the modular group and the fundamental region, along with their significance in number theory and modular forms. By exploring the interplay between analytic functions and geometric transformations, this book serves as a valuable resource for mathematicians and enthusiasts seeking to deepen their understanding of automorphic functions and their far-reaching implications. 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. print-on-demand item. Seller Inventory # 9781330351161_0
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An Introduction to the Theory of Automorphic Functions Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330351161
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An Introduction to the Theory of Automorphic Functions Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330351161
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