The Geometry of Positive Quadratic Forms
Author: Sergeĭ Sergeevich Ryshkov
Publisher: American Mathematical Soc.
Published: 1983
Total Pages: 268
ISBN-13: 9780821830703
DOWNLOAD EBOOKPapers and articles about quadratic forms.
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Author: Sergeĭ Sergeevich Ryshkov
Publisher: American Mathematical Soc.
Published: 1983
Total Pages: 268
ISBN-13: 9780821830703
DOWNLOAD EBOOKPapers and articles about quadratic forms.
Author: Achill Schurmann
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 183
ISBN-13: 082184735X
DOWNLOAD EBOOK"Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere packing and covering problems. As a model for polyhedral reduction theories of positive definite quadratic forms, Minkowski's classical theory is presented, including an application to multidimensional continued fraction expansions. The reduction theories of Voronoi are described in great detail, including full proofs, new views, and generalizations that cannot be found elsewhere. Based on Voronoi's second reduction theory, the local analysis of sphere coverings and several of its applications are presented. These include the classification of totally real thin number fields, connections to the Minkowski conjecture, and the discovery of new, sometimes surprising, properties of exceptional structures such as the Leech lattice or the root lattices." "Throughout this book, special attention is paid to algorithms and computability, allowing computer-assisted treatments. Although dealing with relatively classical topics that have been worked on extensively by numerous authors, this book is exemplary in showing how computers may help to gain new insights."--BOOK JACKET.
Author: Richard S. Elman
Publisher: American Mathematical Soc.
Published: 2008-07-15
Total Pages: 456
ISBN-13: 9780821873229
DOWNLOAD EBOOKThis 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.
Author: Eva Bayer-Fluckiger
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 330
ISBN-13: 0821827790
DOWNLOAD EBOOKThis 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.
Author: Yoshiyuki Kitaoka
Publisher: Cambridge University Press
Published: 1999-04-29
Total Pages: 292
ISBN-13: 9780521649964
DOWNLOAD EBOOKProvides an introduction to quadratic forms.
Author: J. W. S. Cassels
Publisher: Courier Dover Publications
Published: 2008-08-08
Total Pages: 429
ISBN-13: 0486466701
DOWNLOAD EBOOKExploration 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.
Author: Tsit-Yuen Lam
Publisher: Addison-Wesley
Published: 1980
Total Pages: 344
ISBN-13: 9780805356663
DOWNLOAD EBOOKAuthor: Onorato Timothy O’Meara
Publisher: Springer
Published: 2013-12-01
Total Pages: 354
ISBN-13: 366241922X
DOWNLOAD EBOOKAuthor: WILLS
Publisher: Birkhäuser
Published: 2013-11-11
Total Pages: 399
ISBN-13: 3034857659
DOWNLOAD EBOOKDuring the time from June 28-July 1, 1978, representatives of different branches of geometry met in Siegen for discussion of and reports on current problems. In particular, the survey lectures, presented by well known geometers, gave nonspecialists the welcome opportunity to learn about the questions posed, the methods used and the results obtained in different areas of the field of geometry. The research areas represented at the meeting in Siegen are reflected in the list of participants and their contributions: Ranging from geometric convexity and related topics to differential geometry and kinematics. The foundations of geometry, an area well established in Germany, was also represented. It is a pleasure to thank all the lecturers as well as other participants in the Geometry Symposium for their contribution to the success of the meeting. We also thank the "Minister fUr Wissenschaft und Forschung des Landes Nordrhein-Westfalen" and the University of Siegen for their generous support which helped make the Symposium so successful. In order to make the contributions and results of the Symposium accessible to the general public, the publication of a proceedings volume was planned. The idea was to give a summary of a wide spectrum of research in geometr- through survey articles and original research papers.
Author: C. D. Olds
Publisher: Cambridge University Press
Published: 2001-02-22
Total Pages: 198
ISBN-13: 9780883856437
DOWNLOAD EBOOKA self-contained introduction to the geometry of numbers.