Abstract Algebra (Pure and Applied Undergraduate Texts) von Ronald Solomon: New (2009)

Beschreibung

Takes a novel approach to the standard introductory material on groups, rings, and fields. This title offers a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. It focuses on the central problem of studying the solutions of polynomial equations. Series: Pure and Applied Undergraduate Texts. Num Pages: 227 pages, Illustrations. BIC Classification: PBF; PBMW. Category: (UU) Undergraduate. Weight in Grams: 432. . 2009. Hardcover. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9780821847954

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Abstract Algebra (Pure and Applied Undergraduate Texts)
Verlag: American Mathematical Society
Erscheinungsjahr: 2009
Sprache: Englisch
ISBN-10: 0821847953
ISBN-13: 9780821847954
Einband: Hardcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.

Rese�a del editor

This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.