A Concrete Approach to Abstract Algebra (Dover Books on Mathematics) - Softcover

Sawyer, W.W

Softcover

ISBN 10: 0486824616 ISBN 13: 9780486824611

Verlag: Dover Publications Inc., 2018

Inhaltsangabe

Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school–level algebra.
Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite arithmetic, an analogy between integers and polynomials, an application of the analogy, extending fields, and linear dependence and vector spaces. Additional topics include algebraic calculations with vectors, vectors over a field, and fields regarded as vector spaces. The final chapter proves that angles cannot be trisected by Euclidean means, using a proof that shows how modern algebraic concepts can be used to solve an ancient problem. Exercises appear throughout the book, with complete solutions at the end.

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Über die Autorin bzw. den Autor

Walter Warwick Sawyer (1911–2008) studied mathematics at St. John's College, Cambridge, and taught all over the world, starting at the universities of Dundee and Manchester and later at the University of Ghana and Canterbury College in New Zealand. He was Professor of Mathematics at Wesleyan University in Connecticut and on the faculty at the University of Toronto. His 11 books include the Dover publications Prelude to Mathematics, Mathematician's Delight, Vision in Elementary Mathematics, and A First Look at Numerical Functional Analysis.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 0486824616
• ISBN 13: 9780486824611
• Einband: Taschenbuch
• Anzahl der Seiten: 240
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien