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| Author | : Albrecht Pfister |
| Publisher | : Cambridge University Press |
| Total Pages | : 191 |
| Release | : 1995-09-28 |
| Genre | : Mathematics |
| ISBN | : 0521467551 |
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.
| Author | : Eva Bayer-Fluckiger |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 0821827790 |
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.
| Author | : Bill Jacob |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 416 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 0821851543 |
The papers collected here present an up-to-date record of the current research developments in the fields of real algebraic geometry and quadratic forms. Articles range from the technical to the expository and there are also indications to new research directions.
| Author | : Ricardo Baeza |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 424 |
| Release | : 2009-08-14 |
| Genre | : Mathematics |
| ISBN | : 0821846485 |
This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.
| Author | : Skip Garibaldi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 344 |
| Release | : 2010-07-16 |
| Genre | : Mathematics |
| ISBN | : 1441962115 |
Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus on areas that have seen dramatic progress, or are of special interest, are encouraged as well.
| Author | : Richard S. Elman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 456 |
| Release | : 2008-07-15 |
| Genre | : Mathematics |
| ISBN | : 9780821873229 |
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.
| Author | : Tsit-Yuen Lam |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 158 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : 0821807021 |
Presents an introduction to ordered fields and reduced quadratic forms using valuation-theoretic techniques. This book describes the techniques of residue forms and the relevant Springer theory.
| Author | : Sergeĭ Mikhaĭlovich Nikolʹskiĭ |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 268 |
| Release | : 1986 |
| Genre | : Mathematics |
| ISBN | : 9780821830925 |
Papers about algebraic geometry and their applications.
| Author | : A. Prestel |
| Publisher | : Springer |
| Total Pages | : 134 |
| Release | : 2007-01-05 |
| Genre | : Mathematics |
| ISBN | : 3540390936 |
Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.
| Author | : McMaster University |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 362 |
| Release | : 1984 |
| Genre | : Mathematics |
| ISBN | : 9780821860083 |
Contains the proceedings of the 1983 Seminar on Quadratic and Hermitian Forms held at McMaster University, July 1983. Between 1945 and 1965, most of the work in quadratic (and hermitian) forms took place in arithmetic theory (M Eichler, M Kneser, O T O'Meara).
