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Algebraic Theory of Quadratic Numbers, Trifkovic Mak


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Автор: Trifkovic Mak
Название:  Algebraic Theory of Quadratic Numbers
ISBN: 9781461477167
Издательство: Springer
Классификация:


ISBN-10: 1461477166
Обложка/Формат: Paperback
Страницы: 197
Вес: 0.33 кг.
Дата издания: 31.08.2013
Серия: Universitext
Язык: English
Издание: 2013 ed.
Иллюстрации: 29 illustrations, black and white; xi, 197 p. 29 illus.
Размер: 236 x 153 x 14
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book shows the techniques of elementary arithmetic, ring theory and linear algebra working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. Includes numerous exercises.


Algebra Essentials Practice Workbook with Answers: Linear & Quadratic Equations, Cross Multiplying, and Systems of Equations: Improve Your Math Fluenc

Автор: McMullen Ph. D. Chris
Название: Algebra Essentials Practice Workbook with Answers: Linear & Quadratic Equations, Cross Multiplying, and Systems of Equations: Improve Your Math Fluenc
ISBN: 1453661387 ISBN-13(EAN): 9781453661383
Издательство: Неизвестно
Цена: 2240.00 р.
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Описание: AUTHOR Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills.

CONTENTS This Algebra Essentials Practice Workbook with Answers provides ample practice for developing fluency in very fundamental algebra skills - in particular, how to solve standard equations for one or more unknowns. These algebra 1 practice exercises are relevant for students of all levels - from grade 7 thru college algebra. This workbook is conveniently divided up into seven chapters so that students can focus on one algebraic method at a time. Skills include solving linear equations with a single unknown (with a separate chapter dedicated toward fractional coefficients), factoring quadratic equations, using the quadratic formula, cross multiplying, and solving systems of linear equations. Not intended to serve as a comprehensive review of algebra, this workbook is instead geared toward the most essential algebra skills. An introduction describes how parents and teachers can help students make the most of this workbook. Students are encouraged to time and score each page. In this way, they can try to have fun improving on their records, which can help lend them confidence in their math skills.

PRACTICE With no pictures, this workbook is geared strictly toward learning the material and developing fluency through practice.

EXAMPLES Each section begins with a few pages of instructions for how to solve the equations followed by a few examples. These examples should serve as a useful guide until students are able to solve the problems independently.

ANSWERS Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.

PHOTOCOPIES The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice.

Quadratic and Higher Degree Forms

Автор: Krishnaswami Alladi; Manjul Bhargava; David Savitt
Название: Quadratic and Higher Degree Forms
ISBN: 1461474876 ISBN-13(EAN): 9781461474876
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Preface.- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki).- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich).- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch).- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers).- Quadratic and Automorphic Forms (J. Hanke).- Integral Positive Ternary Quadratic Forms (W. Jagy).- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala).- On the Length of Binary Forms (B. Reznick).- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot).- Identifying the Matrix Ring (J. Voight).

Quadratic Residues and Non-Residues

Автор: Steve Wright
Название: Quadratic Residues and Non-Residues
ISBN: 3319459546 ISBN-13(EAN): 9783319459547
Издательство: Springer
Рейтинг:
Цена: 6288.00 р.
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Описание:

This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.
Arithmetic of Quadratic Forms

Автор: Goro Shimura
Название: Arithmetic of Quadratic Forms
ISBN: 1461426189 ISBN-13(EAN): 9781461426189
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
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Описание: This book examines algebraic number theory and the theory of semisimple algebras. It covers classification over an algebraic number field and classification over the ring of algebraic integers.

Introduction to Quadratic Forms

Автор: O. Timothy O`Meara
Название: Introduction to Quadratic Forms
ISBN: 3540665641 ISBN-13(EAN): 9783540665649
Издательство: Springer
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Цена: 6986.00 р.
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Описание: From the reviews: "Anyone who has heard O`Meara lecture will recognize in every page of this book the crispness and lucidity of the author`s style. [...] The organization and selection of material is superb. [...] deserves high praise as an excellent example of that too-rare type of mathematical exposition combining conciseness with clarity."

Quaternary Quadratic Forms

Автор: Gordon L. Nipp
Название: Quaternary Quadratic Forms
ISBN: 0387976019 ISBN-13(EAN): 9780387976013
Издательство: Springer
Рейтинг:
Цена: 14673.00 р.
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Описание: This book of tables includes a reduced representative of each class of. The next section contains a printed version of the tables through discriminant 500, included to allow the reader to peruse at least this much without the inconvenience of making his/her own hard copy via the computer.

Quadratic Diophantine Equations

Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
Рейтинг:
Цена: 6986.00 р.
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Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

The Quadratic Reciprocity Law

Автор: Oswald Baumgart; Franz Lemmermeyer
Название: The Quadratic Reciprocity Law
ISBN: 3319162829 ISBN-13(EAN): 9783319162829
Издательство: Springer
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Цена: 11179.00 р.
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Описание:

This book is the English translation of Baumgart's thesis on the early proofs of the quadratic reciprocity law (" ber das quadratische Reciprocit tsgesetz. Eine vergleichende Darstellung der Beweise"), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart's comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix.

This book will appeal to all readers interested in elementary number theory and the history of number theory.

Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups

Автор: Alexander J. Hahn
Название: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups
ISBN: 038794110X ISBN-13(EAN): 9780387941103
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings.

Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields

Автор: Hatice Boylan
Название: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields
ISBN: 3319129155 ISBN-13(EAN): 9783319129150
Издательство: Springer
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Цена: 4890.00 р.
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Описание: The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields.

Binary Quadratic Forms

Автор: Duncan A. Buell
Название: Binary Quadratic Forms
ISBN: 1461288703 ISBN-13(EAN): 9781461288701
Издательство: Springer
Рейтинг:
Цена: 15372.00 р.
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Quadratic and Hermitian Forms over Rings

Автор: Max-Albert Knus
Название: Quadratic and Hermitian Forms over Rings
ISBN: 3642754031 ISBN-13(EAN): 9783642754036
Издательство: Springer
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Цена: 13275.00 р.
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Описание: From its birth (in Babylon?) till 1936 the theory of quadratic forms dealt almost exclusively with forms over the real field, the complex field or the ring of integers. Around 1960 the development of algebraic topology and algebraic K-theory led to the study of quadratic forms over commutative rings and hermitian forms over rings with involutions.


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