Compositions Of Quadratic Forms

Download Compositions Of Quadratic Forms full books in PDF, epub, and Kindle. Read online Compositions Of Quadratic Forms ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Compositions of Quadratic Forms

Author : Daniel B. Shapiro
Publisher : Walter de Gruyter
ISBN 13 : 3110824833
Total Pages : 433 pages
Book Rating : 4.1/5 (18 download)

DOWNLOAD NOW!

Book Synopsis Compositions of Quadratic Forms by : Daniel B. Shapiro

Download or read book Compositions of Quadratic Forms written by Daniel B. Shapiro and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Rational Quadratic Forms

Author : J. W. S. Cassels
Publisher : Courier Dover Publications
ISBN 13 : 0486466701
Total Pages : 429 pages
Book Rating : 4.4/5 (864 download)

DOWNLOAD NOW!

Book Synopsis Rational Quadratic Forms by : J. W. S. Cassels

Download or read book Rational Quadratic Forms written by J. W. S. Cassels and published by Courier Dover Publications. This book was released on 2008-08-08 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On the Composition of Quadratic Forms

Author : Emerson Daniel Jenkins
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (614 download)

DOWNLOAD NOW!

Book Synopsis On the Composition of Quadratic Forms by : Emerson Daniel Jenkins

Download or read book On the Composition of Quadratic Forms written by Emerson Daniel Jenkins and published by . This book was released on 1935 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Composition of Quadratic Forms

Author : Roy Dubisch
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (246 download)

DOWNLOAD NOW!

Book Synopsis Composition of Quadratic Forms by : Roy Dubisch

Download or read book Composition of Quadratic Forms written by Roy Dubisch and published by . This book was released on 1946 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Binary Quadratic Forms

Author : Duncan A. Buell
Publisher : Springer Science & Business Media
ISBN 13 : 1461245427
Total Pages : 249 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Binary Quadratic Forms by : Duncan A. Buell

Download or read book Binary Quadratic Forms written by Duncan A. Buell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can be done in what is essentially a two dimensional vector space, have been dropped in favor of n-dimensional arguments which prove the general theorems of algebraic number the ory. In consequence, this elegant, yet pleasantly simple, theory has been neglected even as some of its results have become extremely useful in certain computations. I find this neglect unfortunate, because binary quadratic forms have two distinct attractions. First, the subject involves explicit computa tion and many of the computer programs can be quite simple. The use of computers in experimenting with examples is both meaningful and enjoyable; one can actually discover interesting results by com puting examples, noticing patterns in the "data," and then proving that the patterns result from the conclusion of some provable theorem.

Composition and Genera of Quadratic Forms

Author : Ethel Theresa Klinkenberg
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (561 download)

DOWNLOAD NOW!

Book Synopsis Composition and Genera of Quadratic Forms by : Ethel Theresa Klinkenberg

Download or read book Composition and Genera of Quadratic Forms written by Ethel Theresa Klinkenberg and published by . This book was released on 1938 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quaternion Algebras

Author : John Voight
Publisher : Springer Nature
ISBN 13 : 3030566943
Total Pages : 877 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Quaternion Algebras by : John Voight

Download or read book Quaternion Algebras written by John Voight and published by Springer Nature. This book was released on 2021-06-28 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Composition of Binary Quadratic Forms

Author : Edward Charles Zeiger
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (561 download)

DOWNLOAD NOW!

Book Synopsis The Composition of Binary Quadratic Forms by : Edward Charles Zeiger

Download or read book The Composition of Binary Quadratic Forms written by Edward Charles Zeiger and published by . This book was released on 1935 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Algebraic and Geometric Theory of Quadratic Forms

Author : Richard S. Elman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821873229
Total Pages : 456 pages
Book Rating : 4.8/5 (732 download)

DOWNLOAD NOW!

Book Synopsis The Algebraic and Geometric Theory of Quadratic Forms by : Richard S. Elman

Download or read book The Algebraic and Geometric Theory of Quadratic Forms written by Richard S. Elman and published by American Mathematical Soc.. This book was released on 2008-07-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.

Composition of Quadratic Forms Over Fields of Characteristics Not Equal to Two

Author : Yum-tong Siu
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Composition of Quadratic Forms Over Fields of Characteristics Not Equal to Two by : Yum-tong Siu

Download or read book Composition of Quadratic Forms Over Fields of Characteristics Not Equal to Two written by Yum-tong Siu and published by . This book was released on 1964 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quadratic Forms and Their Applications

Author : Eva Bayer-Fluckiger
Publisher : American Mathematical Soc.
ISBN 13 : 0821827790
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Quadratic Forms and Their Applications by : Eva Bayer-Fluckiger

Download or read book Quadratic Forms and Their Applications written by Eva Bayer-Fluckiger and published by American Mathematical Soc.. This book was released on 2000 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.

The Sensual (Quadratic) Form

Author : John Horton Conway
Publisher : Cambridge University Press
ISBN 13 : 9780883850305
Total Pages : 180 pages
Book Rating : 4.8/5 (53 download)

DOWNLOAD NOW!

Book Synopsis The Sensual (Quadratic) Form by : John Horton Conway

Download or read book The Sensual (Quadratic) Form written by John Horton Conway and published by Cambridge University Press. This book was released on 1997 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadratic forms are presented in a pictorial way, elucidating many topics in algebra, number theory and geometry.

Queen's Lectures on Arithmetical Composition of Quadratic Forms

Author : Anatoliĭ Nikolaevich Andrianov
Publisher : [Kingston, Ont.] : Queen's University
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (243 download)

DOWNLOAD NOW!

Book Synopsis Queen's Lectures on Arithmetical Composition of Quadratic Forms by : Anatoliĭ Nikolaevich Andrianov

Download or read book Queen's Lectures on Arithmetical Composition of Quadratic Forms written by Anatoliĭ Nikolaevich Andrianov and published by [Kingston, Ont.] : Queen's University. This book was released on 1992 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Composition and Characters of Binary Quadratic Forms

Author : C. S. Iliopoulos
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (59 download)

DOWNLOAD NOW!

Book Synopsis Composition and Characters of Binary Quadratic Forms by : C. S. Iliopoulos

Download or read book Composition and Characters of Binary Quadratic Forms written by C. S. Iliopoulos and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Quadratic Forms

Author : Onorato Timothy O’Meara
Publisher : Springer
ISBN 13 : 366241922X
Total Pages : 354 pages
Book Rating : 4.6/5 (624 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Quadratic Forms by : Onorato Timothy O’Meara

Download or read book Introduction to Quadratic Forms written by Onorato Timothy O’Meara and published by Springer. This book was released on 2013-12-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quadratic and Hermitian Forms

Author : W. Scharlau
Publisher : Springer Science & Business Media
ISBN 13 : 3642699715
Total Pages : 431 pages
Book Rating : 4.6/5 (426 download)

DOWNLOAD NOW!

Book Synopsis Quadratic and Hermitian Forms by : W. Scharlau

Download or read book Quadratic and Hermitian Forms written by W. Scharlau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. Much of the best work of the great number theorists of the eighteenth and nineteenth century was concerned with problems about quadratic forms. On the basis of their work, Minkowski, Siegel, Hasse, Eichler and many others crea ted the impressive "arithmetic" theory of quadratic forms, which has been the object of the well-known books by Bachmann (1898/1923), Eichler (1952), and O'Meara (1963). Parallel to this development the ideas of abstract algebra and abstract linear algebra introduced by Dedekind, Frobenius, E. Noether and Artin led to today's structural mathematics with its emphasis on classification problems and general structure theorems. On the basis of both - the number theory of quadratic forms and the ideas of modern algebra - Witt opened, in 1937, a new chapter in the theory of quadratic forms. His most fruitful idea was to consider not single "individual" quadratic forms but rather the entity of all forms over a fixed ground field and to construct from this an algebra ic object. This object - the Witt ring - then became the principal object of the entire theory. Thirty years later Pfister demonstrated the significance of this approach by his celebrated structure theorems.

Primes of the Form x2 + ny2

Author : David A. Cox
Publisher : John Wiley & Sons
ISBN 13 : 1118031008
Total Pages : 372 pages
Book Rating : 4.1/5 (18 download)

DOWNLOAD NOW!

Book Synopsis Primes of the Form x2 + ny2 by : David A. Cox

Download or read book Primes of the Form x2 + ny2 written by David A. Cox and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of field theory and its intimate connection with complex multiplication. While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins with Fermat and explains how his work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the magnificent formulas of complex multiplication. The central theme of the book is the story of which primes p can be expressed in the form x2 + ny2. An incomplete answer is given using quadratic forms. A better though abstract answer comes from class field theory, and finally, a concrete answer is provided by complex multiplication. Along the way, the reader is introduced to some wonderful number theory. Numerous exercises and examples are included. The book is written to be enjoyed by readers with modest mathematical backgrounds. Chapter 1 uses basic number theory and abstract algebra, while chapters 2 and 3 require Galois theory and complex analysis, respectively.