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Beschreibung

This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses involving abstract algebra or the history of mathematics.

This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses involving abstract algebra or the history of mathematics.

Zusammenfassung

This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses involving abstract algebra or the history of mathematics.

Inhaltsverzeichnis
History of Classical Algebra.- History of Group Theory.- History of Ring Theory.- History of Field Theory.- History of Linear Algebra.- Emmy Noether and the Advent of Abstract Algebra.- A Course in Abstract Algebra Inspired by History.- Biographies of Selected Mathematicians.
Details
Erscheinungsjahr: 2007
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Inhalt: xvi
168 S.
24 s/w Illustr.
168 p. 24 illus.
ISBN-13: 9780817646844
ISBN-10: 0817646841
Sprache: Englisch
Herstellernummer: 11522171
Einband: Kartoniert / Broschiert
Autor: Kleiner, Israel
Hersteller: Birkhäuser Boston
Springer Nature B.V.
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 233 x 154 x 15 mm
Von/Mit: Israel Kleiner
Erscheinungsdatum: 02.10.2007
Gewicht: 0,313 kg
Artikel-ID: 102024656