9783030566920 - quaternion algebras: 288 (graduate texts in mathematics, 288) de voight, john (11 resultados)
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Editorial: Springer 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Editorial: Springer 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces.Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts andmotivation are recapped throughout.
Idioma: Inglés
Editorial: Springer Nature 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Hardcover. Condición: Brand New. 908 pages. 9.25x6.10x1.65 inches. In Stock.
Idioma: Inglés
Editorial: Springer 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Condición: new. Questo è un articolo print on demand.
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Editorial: Springer International Publishing Jun 2021 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, , AlemaniaBuchWeltWeit Ludwig Meier e.K.
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces.Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout. 912 pp. Englisch.
Idioma: Inglés
Editorial: Springer 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Editorial: Springer 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Editorial: Springer, Springer Jun 2021 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 stu…dent 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, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces.Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts andmotivation are recapped throughout.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 912 pp. Englisch.
Idioma: Inglés
Editorial: Springer 2021
Serie: Graduate Texts in Mathematics, Libro 174 de 180. Libro 174 de 180 - Graduate Texts in Mathematics
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Librería: preigu, Osnabrück, Alemaniapreigu
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Buch. Condición: Neu. Quaternion Algebras | John Voight | Buch | Graduate Texts in Mathematics | xxiii | Englisch | 2021 | Springer | EAN 9783030566920 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.
