Quadratics

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Quadratics

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Author : Richard A. Mollin
language : en
Publisher: CRC Press
Release Date : 1995-10-24

Quadratics written by Richard A. Mollin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-24 with Mathematics categories.

The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footnotes give an historical background to the text, in addition to providing deeper applications of the concept that is being cited. This allows the browser to look more deeply into the history or to pursue a given sideline. Those who are only marginally interested in the area will be able to read the text, pick up information easily, and be entertained at the same time by the historical and philosophical digressions. It is rich in structure and motivation in its concentration upon quadratic orders. This is not a book that is primarily about tables, although there are 80 pages of appendices that contain extensive tabular material (class numbers of real and complex quadratic fields up to 104; class group structures; fundamental units of real quadratic fields; and more!). This book is primarily a reference book and graduate student text with more than 200 exercises and a great deal of hints! The motivation for the text is best given by a quote from the Preface of Quadratics: "There can be no stronger motivation in mathematical inquiry than the search for truth and beauty. It is this author's long-standing conviction that number theory has the best of both of these worlds. In particular, algebraic and computational number theory have reached a stage where the current state of affairs richly deserves a proper elucidation. It is this author's goal to attempt to shine the best possible light on the subject."

Quadratics

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Author : Richard A. Mollin
language : en
Publisher: CRC Press
Release Date : 2018-04-27

Quadratics written by Richard A. Mollin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Computers categories.

The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footnotes give an historical background to the text, in addition to providing deeper applications of the concept that is being cited. This allows the browser to look more deeply into the history or to pursue a given sideline. Those who are only marginally interested in the area will be able to read the text, pick up information easily, and be entertained at the same time by the historical and philosophical digressions. It is rich in structure and motivation in its concentration upon quadratic orders. This is not a book that is primarily about tables, although there are 80 pages of appendices that contain extensive tabular material (class numbers of real and complex quadratic fields up to 104; class group structures; fundamental units of real quadratic fields; and more!). This book is primarily a reference book and graduate student text with more than 200 exercises and a great deal of hints! The motivation for the text is best given by a quote from the Preface of Quadratics: "There can be no stronger motivation in mathematical inquiry than the search for truth and beauty. It is this author's long-standing conviction that number theory has the best of both of these worlds. In particular, algebraic and computational number theory have reached a stage where the current state of affairs richly deserves a proper elucidation. It is this author's goal to attempt to shine the best possible light on the subject."

Beyond The Quadratic Formula

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Author : Ronald S. Irving
language : en
Publisher: MAA
Release Date : 2013-10-10

Beyond The Quadratic Formula written by Ronald S. Irving and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-10 with Mathematics categories.

A study guide to polynomials that goes beyond the familiar quadratic formula to cover cubic and quartic equations.

Quadratic Diophantine Equations

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Author : Titu Andreescu
language : en
Publisher: Springer
Release Date : 2015-06-29

Quadratic Diophantine Equations written by Titu Andreescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-29 with Mathematics categories.

This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.

Quadratic Algebras

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Author : Alexander Polishchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Quadratic Algebras written by Alexander Polishchuk 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 2005 with Mathematics categories.

This book introduces recent developments in the study of algebras defined by quadratic relations. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this problem is the notion of a Koszul algebra, which was introduced in 1970 by S. Priddy and then appeared in many areas of mathematics, such as algebraic geometry, representation theory, non commutative geometry, $K$-theory, number theory, and non commutative linear algebra.The authors give a coherent exposition of the theory of quadratic and Koszul algebras, including various definitions of Koszulness, duality theory, Poincare-Birkhoff-Witt-type theorems for Koszul algebras, and the Koszul deformation principle. In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes. The book can be used by graduate students and researchers working in algebra and any of the above-mentioned areas of mathematics.

Quadratic Irrationals

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Author : Franz Halter-Koch
language : en
Publisher: CRC Press
Release Date : 2013-06-17

Quadratic Irrationals written by Franz Halter-Koch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-17 with Mathematics categories.

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

Basic Quadratic Forms

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Author : Larry J. Gerstein
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Basic Quadratic Forms written by Larry J. Gerstein 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 2008 with Mathematics categories.

The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics--particularly group theory and topology--as well as to cryptography and coding theory. This book is a self-contained introduction to quadratic forms that is based on graduate courses the author has taught many times. It leads the reader from foundation material up to topics of current research interest--with special attention to the theory over the integers and over polynomial rings in one variable over a field--and requires only a basic background in linear and abstract algebra as a prerequisite. Whenever possible, concrete constructions are chosen over more abstract arguments. The book includes many exercises and explicit examples, and it is appropriate as a textbook for graduate courses or for independent study. To facilitate further study, a guide to the extensive literature on quadratic forms is provided.

Quadratic Equations And Curves

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Author :
language : en
Publisher:
Release Date : 1973

Quadratic Equations And Curves written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Algebra categories.

Algebraical Problems Producing Simple And Quadratic Equations With Their Solutions Designed As An Introduction To The Higher Branches Of Analytics

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Author : Miles BLAND
language : en
Publisher:
Release Date : 1812

Algebraical Problems Producing Simple And Quadratic Equations With Their Solutions Designed As An Introduction To The Higher Branches Of Analytics written by Miles BLAND and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1812 with Algebra categories.

A Treatise Containing An Entire New Method Of Solving Adfected Quadratic And Cubic Equations With Their Application To The Solution Of Biquadratic Ones

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Author : W. Brown
language : en
Publisher:
Release Date : 1746

A Treatise Containing An Entire New Method Of Solving Adfected Quadratic And Cubic Equations With Their Application To The Solution Of Biquadratic Ones written by W. Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1746 with Algebra categories.