Synopsis
This book explores various periodicities found in transformations of characteristics for spaces of up to four dimensions, presenting the author's own original research on the subject. It also explores the linear substitution of transformations for these spaces. The book begins by defining fundamental systems and their properties, introducing concepts and theorems regarding their periodic characteristics. By heavily employing previously unexplored mathematical techniques such as homaloidal systems, the author arrives at a comprehensive theory of periodic transformation that encompasses the entirety of birational transformations in a plane. They also devise a novel method for classifying and understanding the complex characteristics of these transformations, reducing them to a finite number of types. Ultimately, they demonstrate that any characteristic with fewer than eight points on its fundamental curve will exhibit finite, periodic transformations, and that all such transformations with the same index are equivalent through transposition. The book delves deeply into complex mathematical concepts but never sacrifices clarity of explanation. Through meticulous proofs and insightful analysis, the author elucidates each idea thoroughly while opening new avenues for advancing research on this intricate subject.
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Acta Mathematica, Vol. 21 (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book explores various periodicities found in transformations of characteristics for spaces of up to four dimensions, presenting the author's own original research on the subject. It also explores the linear substitution of transformations for these spaces. The book begins by defining fundamental systems and their properties, introducing concepts and theorems regarding their periodic characteristics. By heavily employing previously unexplored mathematical techniques such as homaloidal systems, the author arrives at a comprehensive theory of periodic transformation that encompasses the entirety of birational transformations in a plane. They also devise a novel method for classifying and understanding the complex characteristics of these transformations, reducing them to a finite number of types. Ultimately, they demonstrate that any characteristic with fewer than eight points on its fundamental curve will exhibit finite, periodic transformations, and that all such transformations with the same index are equivalent through transposition. The book delves deeply into complex mathematical concepts but never sacrifices clarity of explanation. Through meticulous proofs and insightful analysis, the author elucidates each idea thoroughly while opening new avenues for advancing research on this intricate subject. 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 # 9781334016554_0
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Acta Mathematica, Vol 21 Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334016554
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Acta Mathematica, Vol 21 Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334016554
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