Thomas Q. Sibley: Thinking Algebraically

Cover: 9781470460303 | Thinking Algebraically | An Introduction to Abstract Algebra | Sibley

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

110,95 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Kategorien:

Beschreibung

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.

Inhaltsverzeichnis

A transition to abstract algebra;
Relationships between systems;
Groups;
Rings, integral domains, and fields;
Vector spaces and field extensions;
Topics in group theory;
Topics in algebra;
Epilogue;
Selected Answers;
Indexes.

Details

Erscheinungsjahr:	2021
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	AMS/MAA Textbooks
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9781470460303
ISBN-10:	1470460300
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Sibley, Thomas Q.
Hersteller:	American Mathematical Society AMS/MAA Textbooks
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	183 x 255 x 29 mm
Von/Mit:	Thomas Q. Sibley
Erscheinungsdatum:	30.08.2021
Gewicht:	0,89 kg