Ternary Quadratic Forms And Norms
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Ternary Quadratic Forms And Norms
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Author : O. Taussky
language : en
Publisher: CRC Press
Release Date : 2020-12-18
Ternary Quadratic Forms And Norms written by O. Taussky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Mathematics categories.
This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.
Selected Topics On Ternary Forms And Norms
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Author :
language : en
Publisher:
Release Date : 1976
Selected Topics On Ternary Forms And Norms written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Forms, Quadratic categories.
Rational Quadratic Forms
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Author : J. W. S. Cassels
language : en
Publisher: Courier Dover Publications
Release Date : 2008-08-08
Rational Quadratic Forms written by J. W. S. Cassels and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-08 with Mathematics categories.
Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.
The Sensual Quadratic Form
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Author : John Horton Conway
language : en
Publisher: Cambridge University Press
Release Date : 1997
The Sensual Quadratic Form written by John Horton Conway and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Quadratic forms are presented in a pictorial way, elucidating many topics in algebra, number theory and geometry.
On The Progressions Associated With A Ternary Quadratic Form
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Author : Edwin Harold Hadlock
language : en
Publisher:
Release Date : 1933
On The Progressions Associated With A Ternary Quadratic Form written by Edwin Harold Hadlock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1933 with Forms, Quadratic categories.
Quaternion Algebras
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Author : John Voight
language : en
Publisher: Springer Nature
Release Date : 2021-06-28
Quaternion Algebras written by John Voight and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-28 with Mathematics categories.
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.
The Arithmetic Theory Of Quadratic Forms
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Author : Burton W Jones
language : en
Publisher: American Mathematical Soc.
Release Date : 1950-12-31
The Arithmetic Theory Of Quadratic Forms written by Burton W Jones and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950-12-31 with Forms, Binary categories.
This monograph presents the central ideas of the arithmetic theory of quadratic forms in self-contained form, assuming only knowledge of the fundamentals of matric theory and the theory of numbers. Pertinent concepts of p -adic numbers and quadratic ideals are introduced. It would have been possible to avoid these concepts, but the theory gains elegance as well as breadth by the introduction of such relationships. Some results, and many of the methods, are here presented for the first time. The development begins with the classical theory in the field of reals from the point of view of representation theory; for in these terms, many of the later objectives and methods may be revealed. The successive chapters gradually narrow the fields and rings until one has the tools at hand to deal with the classical problems in the ring of rational integers. The analytic theory of quadratic forms is not dealt with because of the delicate analysis involved. However, some of the more important results are stated and references are given.
The Minima Of Indefinite Quaternary Quadratic Forms
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Author : Alexander Oppenheim
language : en
Publisher:
Release Date : 1931
The Minima Of Indefinite Quaternary Quadratic Forms written by Alexander Oppenheim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1931 with Forms, Quadratic categories.
Regular Ternary Quadratic Forms
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Author : George Brinton Thomas (Jr.)
language : en
Publisher:
Release Date : 1940
Regular Ternary Quadratic Forms written by George Brinton Thomas (Jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1940 with Forms, Quadratic categories.
The Sensual Quadratic Form
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Author : John Horton Conway
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-12-31
The Sensual Quadratic Form written by John Horton Conway and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-31 with categories.
John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as a serious textbook on the theory of quadratic forms. It consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The afterthoughts to the lectures contain discussion of related matters that occasionally presuppose greater knowledge.