Elements of Abstract Algebra (Paperback)

Allan Clark

30 valoraciones de Goodreads

Idioma: inglés

Editorial: Dover Publications Inc., New York, 1984

0486647250 / 9780486647258

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Paperback. This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems.Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full discussion of the constructibility of regular polygons. Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of equations in radicals that actually includes solutions of equations of degree 3 and 4 - a feature omitted from all texts of the last 40 years. Chapter V (Ring Theory) contains basic information about rings and unique factorization to set the stage for classical ideal theory. Chapter VI (Classical Ideal Theory) ends with an elementary proof of the Fundamental Theorem of Algebraic Number Theory for the special case of Galois extensions of the rational field, a result which brings together all the major themes of the book.The writing is clear and careful throughout, and includes many historical notes. Mathematical proof is emphasized. The text comprises 198 articles ranging in length from a paragraph to a page or two, pitched at a level that encourages careful reading. Most articles are accompanied by exercises, varying in level from the simple to the difficult. Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

N° de ref. del artículo 9780486647258

Título
Elements of Abstract Algebra (Paperback)
Autor
Allan Clark
Editorial
Dover Publications Inc., New York
Año de publicación
1984
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0486647250
ISBN 13
9780486647258
Edición
3ª Edición

AussieBookSeller

Truganina, VIC, Australia

Vendedor de 5 estrellas

Vendedor de IberLibro desde 22 de junio de 2007

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ArtículoDe 25 a 45 días hábilesDe 8 a 14 días hábiles
Primer artículoEUR 32,97EUR 39,21
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