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Titlebook: Quaternion Algebras; John Voight Textbook‘‘‘‘‘‘‘‘ 2021 The Editor(s) (if applicable) and The Author(s) 2021 Open Access.Quaternions.Quater

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發(fā)表于 2025-3-21 17:19:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Quaternion Algebras
編輯John Voight
視頻videohttp://file.papertrans.cn/782/781645/781645.mp4
概述Presents a comprehensive, open access treatment of the theory of quaternions, with the eBook free for all readers.Engages the student reader with an accessible, approachable writing style.Offers numer
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Quaternion Algebras;  John Voight Textbook‘‘‘‘‘‘‘‘ 2021 The Editor(s) (if applicable) and The Author(s) 2021 Open Access.Quaternions.Quater
描述.This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike..Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unitgroups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, inclu
出版日期Textbook‘‘‘‘‘‘‘‘ 2021
關(guān)鍵詞Open Access; Quaternions; Quaternion algebras; Quaternion orders; Quaternion ideals; Noncommutative algeb
版次1
doihttps://doi.org/10.1007/978-3-030-56694-4
isbn_softcover978-3-030-57467-3
isbn_ebook978-3-030-56694-4Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightThe Editor(s) (if applicable) and The Author(s) 2021
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:16:50 | 只看該作者
John Voight volume is devoted to the dynamics of rods, which is a branch of mech- ics of deformable bodies. The main goal of the book is to present systema- cally theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Linear and nonlinear equations governing
板凳
發(fā)表于 2025-3-22 04:09:35 | 只看該作者
ally theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Linear and nonlinear equations governing a rod‘s oscillations are p- sented. Methods of determining eigenvalues and eigenfunctions in conser- tive and non-conservative problems along with
地板
發(fā)表于 2025-3-22 06:25:42 | 只看該作者
John Voight volume is devoted to the dynamics of rods, which is a branch of mech- ics of deformable bodies. The main goal of the book is to present systema- cally theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Linear and nonlinear equations governing
5#
發(fā)表于 2025-3-22 10:24:40 | 只看該作者
John Voight volume is devoted to the dynamics of rods, which is a branch of mech- ics of deformable bodies. The main goal of the book is to present systema- cally theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Linear and nonlinear equations governing
6#
發(fā)表于 2025-3-22 16:50:09 | 只看該作者
The Hurwitz ordertz order. Not only is this appropriate in a historical spirit, it is also instructive for what follows; moreover, the Hurwitz order has certain exceptional symmetries that make it worthy of specific investigation.
7#
發(fā)表于 2025-3-22 20:06:02 | 只看該作者
8#
發(fā)表于 2025-3-22 23:27:28 | 只看該作者
Textbook‘‘‘‘‘‘‘‘ 2021in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essentia
9#
發(fā)表于 2025-3-23 01:52:17 | 只看該作者
0072-5285 with an accessible, approachable writing style.Offers numer.This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate
10#
發(fā)表于 2025-3-23 09:17:08 | 只看該作者
Simple algebrasns in Chapter .; in the chapters that followed, we showed that quaternion algebras are equivalently noncommutative algebras with a nondegenerate standard involution. Here, we pursue another approach, and we characterize quaternion algebras in a different way, as central simple algebras of dimension
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