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On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises (Classic Reprint) - Softcover
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Excerpt from On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises
Theory of Functions treated geometrically. Part I, Winter-semester 1880 81, Part II, Summer-semester 1881.
I denote thus the contents of the investigations with which Riemann was concerned in the first part of his Theory of the Abelian Functions. The theory of the O-functions, as developed in the second part of the same treatise, is in the first place, as we know, of an essentially different character, and is excluded from the following presentation as it was from my course of lectures.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 133194726X
- ISBN 13 9781331947264
- BindingPaperback
- LanguageEnglish
- Number of pages95
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On Riemann's Theory of Algebraic Functions and Their Integrals
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Paperback. Condition: New. Print on Demand. This book takes a fascinating, intuitive approach to understanding a complex mathematical theory: the theory of algebraic functions and their integrals, a foundational area of mathematics developed by the renowned Bernhard Riemann in the 19th century. Rather than relying solely on abstract formulas, the author uses physical analogies to illuminate the subject. The book introduces the concept of "steady streamings" - imagined flows of fluid on surfaces - as a visual and relatable way to understand complex mathematical functions. The author then explores how these streamings can be visualized on surfaces of different shapes and topologies, particularly closed surfaces like spheres and tori, which are classified by their "genus" or the number of holes they have. By exploring these streamings and their properties, the book opens a window into the inner workings of algebraic functions and their integrals, offering a deeper understanding of their intricate relationships and behaviors. This book's unique approach, blending physical intuition with rigorous mathematical concepts, makes it a compelling and accessible resource for anyone seeking to delve into the world of Riemann's theory. The book's insights ultimately provide a new perspective on this vital area of mathematics, highlighting the power of visual and physical analogies in understanding complex mathematical ideas. 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 # 9781331947264_0
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On Riemann's Theory of Algebraic Functions and Their Integrals
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On Riemann's Theory of Algebraic Functions and Their Integrals A Supplement to the Usual Treatises Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331947264
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