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A History of Abstract Algebra, Gray


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Автор: Gray
Название:  A History of Abstract Algebra
ISBN: 9783319947723
Издательство: Springer
Классификация:


ISBN-10: 3319947729
Обложка/Формат: Paperback
Страницы: 417
Вес: 0.61 кг.
Дата издания: 2018
Серия: Springer Undergraduate Mathematics Series
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 4 tables, color; 10 illustrations, color; 9 illustrations, black and white; xxiv, 417 p. 19 illus., 10 illus. in color.
Размер: 217 x 152 x 25
Читательская аудитория: General (us: trade)
Основная тема: History of Mathematical Sciences
Подзаголовок: From Algebraic Equations to Modern Algebra
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Introduction.- 1 Simple quadratic forms.- 2 Fermats Last Theorem.- 3 Lagranges theory of quadratic forms.- 4 Gausss Disquisitiones Arithmeticae.- 5 Cyclotomy.- 6 Two of Gausss proofs of quadratic reciprocity.- 7 Dirichlets Lectures.- 8 Is the quintic unsolvable?.- 9 The unsolvability of the quintic.- 10 Galoiss theory.- 11 After Galois - Introduction.- 12 Revision and first assignment.- 13 Jordans Traitй.- 14 Jordan and Klein.- 15 What is Galois theory?.- 16 Algebraic number theory: cyclotomy.- 17 Dedekinds first theory of ideals.- 18 Dedekinds later theory of ideals.- 19 Quadratic forms and ideals.- 20 Kroneckers algebraic number theory.- 21 Revision and second assignment.- 22 Algebra at the end of the 19th century.- 23 The concept of an abstract field.- 24 Ideal theory.- 25 Invariant theory.- 26 Hilberts Zahlbericht.- 27 The rise of modern algebra - group theory.- 28 Emmy Noether.- 29 From Weber to van der Waerden.- 30 Revision and final assignment.- A Polynomial equations in the 18th Century.- B Gauss and composition of forms.- C Gauss on quadratic reciprocity.- D From Jordans Traitй.- E Kleins Erlanger Programm.- F From Dedekinds 11th supplement.- G Subgroups of S4 and S5.- H Curves.- I Resultants.- Bibliography.- Index.


Abstract Algebra, 3rd Edition

Автор: Dummit, David S. Foote, Richard M.
Название: Abstract Algebra, 3rd Edition
ISBN: 0471433349 ISBN-13(EAN): 9780471433347
Издательство: Wiley
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Цена: 21376.00 р.
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Описание: Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics.

A Concrete Approach to Abstract Algebra,

Автор: Jeffrey Bergen
Название: A Concrete Approach to Abstract Algebra,
ISBN: 0123749417 ISBN-13(EAN): 9780123749413
Издательство: Elsevier Science
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Цена: 11635.00 р.
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Описание: This book introduces a new, collaborative action methodology-called synergic inquiry (SI)-for both investigating and effecting transformative change among our individual and collective lives. It is inspired to work within the four levels of our lives-the mental, the social, the political, and the spiritual. In this text, editors Yongming Tang and Charles Joiner stress a strong theory/practice mix.

Abstract Algebra

Автор: Hodge
Название: Abstract Algebra
ISBN: 1466567066 ISBN-13(EAN): 9781466567061
Издательство: Taylor&Francis
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Цена: 10717.00 р.
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Описание:

To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think.

The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text.

Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.

Schaum`s Outline of Abstract Algebra

Автор: Jaisingh Lloyd R., Jasingh Lloyd R., Ayres Frank J
Название: Schaum`s Outline of Abstract Algebra
ISBN: 0071403272 ISBN-13(EAN): 9780071403276
Издательство: McGraw-Hill
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Цена: 5146.00 р.
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Описание: Presents abstract algebra course information in an easy-to-follow, topic-by-topic format. This title provides you with many examples, solved problems, and practice exercises to test your skills. It gives you: practice problems with explanations that reinforce knowledge, and coverage of developments in your course field.


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