Quaternion Algebras by John Voight
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.-
Algebraic Geometry
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Introduction to Riemannian Manifolds
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Algebra
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Brownian Motion and Stochastic Calculus
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Applications of Lie Groups to Differential Equations
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The Arithmetic of Elliptic Curves
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Advanced Linear Algebra
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Groups and Representations
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Modular Functions and Dirichlet Series in Number Theory
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Categories for the Working Mathematician
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Measure, Integration & Real Analysis
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Differential Forms in Algebraic Topology
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Complex Analysis
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Modern Graph Theory
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Problems in Analytic Number Theory
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Representation Theory
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Fermat's Last Theorem
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Elements of Homotopy Theory
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Graph Theory
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Probability Theory I
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Algebraic Number Theory
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Topology and Geometry
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Foundations of Differentiable Manifolds and Lie Groups
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Abstract Algebra
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Introduction to Topological Manifolds
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Linear Representations of Finite Groups
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A Classical Introduction to Modern Number Theory
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Introduction to Smooth Manifolds
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Brownian Motion, Martingales, and Stochastic Calculus
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Lie Groups, Lie Algebras, and Representations
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Functions of One Complex Variable I
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A First Course in Modular Forms
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Commutative Algebra
“The book contains a huge amount of interesting and very well-chosen exercises… This ‘encyclopedic’ character of the text may play an important role both as a guide to some special topics and as a source of information for both students and those whose research in related fields creates a need to familiarize themselves with the knowledge of the case when quaternion algebras are relevant.” (Juliusz Brzeziński, Mathematical Reviews, September, 2022)
John Voight is Professor of Mathematics at Dartmouth College in Hanover, New Hampshire. His research interests lie in arithmetic algebraic geometry and number theory, with a particular interest in computational aspects. He has taught graduate courses in algebra, number theory, cryptography, as well as the topic of this book, quaternion algebras.
| SKU | Unavailable |
| ISBN 13 | 9783030574673 |
| ISBN 10 | 3030574679 |
| Title | Quaternion Algebras |
| Author | John Voight |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2022-06-30 |
| Number of pages | 885 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |