Theory of Groups of Finite Order (Paperback)

William S. Burnside

ISBN 10: 0486816915 / ISBN 13: 9780486816913

Editore: Dover Publications Inc., New York, 2018

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Paperback. An unabridged republication of the classic 1911 edition, this volume covers properties of a group independent of its mode of representation, composition-series of a group, isomorphism of a group with itself, Abelian groups, groups whose orders are the powers of primes, and Sylow's theorem. Permutation groups and groups of linear substitutions receive extensive treatment, along with graphical representation of groups, congruence groups, and special topics. AUTHOR: British mathematician William Burnside (18521927) studied at Cambridge University and was later appointed Professor of Mathematics at the Royal Naval College in Greenwich, UK, where he spent his career. Burnside published more than 150 papers on mathematical topics. Cambridge University Press published the first edition of his classic book, Theory of Groups of Finite Order, in 1897 and in an expanded second edition in 1911. For the next 40-plus years, this book was the classic introduction to group theory, a worthy ancestor of Marshall Hall's The Theory of Groups, first published in 1959 and also now reprinted by Dover. Classic 1911 edition covers many group-related properties, including an extensive treatment of permutation groups and groups of linear substitutions, along with graphical representation of groups, congruence groups, and special topics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780486816913

Dati bibliografici

• Titolo: Theory of Groups of Finite Order (Paperback)
• Editore: Dover Publications Inc., New York
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 0486816915
• ISBN 13: 9780486816913
• Rilegatura: Paperback
• Edizione: seconda edizione
• Condizione: new

Descrizione articolo

Riassunto

An unabridged republication of the classic 1911 edition, this volume constitutes both a great historical contribution to mathematical literature and a basic reference book in its field. Suitable for advanced undergraduates and graduate students in mathematics as well as historians of mathematics, the introductory treatment was hailed by International Mathematical News as "more easily comprehensible than most other books on the subject," and as "a classic work, extraordinarily rich," by Elemente der Mathematik.
After introducing permutation notation and presenting the definition of a group, author William Burnside discusses the simpler properties of groups that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; Abelian groups; groups whose orders are the powers of primes; and Sylow's theorem. Permutation groups and groups of linear substitutions receive an extensive treatment; two chapters are devoted to the graphic representation of groups, and the closing chapter examines congruence groups. Forty-five pages of notes at the back of the book offer ample treatment of special topics.

Informazioni sull?autore

British mathematician William Burnside (1852–1927) studied at Cambridge University and was later appointed Professor of Mathematics at the Royal Naval College in Greenwich, UK, where he spent his career. Burnside published more than 150 papers on mathematical topics. Cambridge University Press published the first edition of his classic book, Theory of Groups of Finite Order, in 1897 and in an expanded second edition in 1911. For the next 40-plus years, this book was the classic introduction to group theory, a worthy ancestor of Marshall Hall's The Theory of Groups, first published in 1959 and also now reprinted by Dover.