Theory of Groups of Finite Order William Burnside Books
Download As PDF : Theory of Groups of Finite Order William Burnside Books
Theory of Groups of Finite Order is presented here in a high quality paperback edition. This publication is professionally scanned from an original edition of the book, and of the best possible quality. This popular classic work by William Burnside is in the English language. If you enjoy the works of William Burnside then we highly recommend this publication for your book collection.
Theory of Groups of Finite Order William Burnside Books
A true classic. Still solid after over 100yrs!Product details
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Theory of Groups of Finite Order William Burnside Books Reviews
I purchased this book as a gift for a mathematician friend. I, myself, am no mathematician and am therefore no authority on the content of the text. My review, instead, concerns the look of the print. While I have no doubt that the content is excellent, I was less than satisfied with the typographical features. While the text was still readable, it was not reset, but has the look of a medium quality photo-copy. This is particularly unfortunate in a mathematics textbook because in some instances subscripts and superscripts become difficult to read.
This book does not preserve the notation of the original text, omitting primes brackets and so forth, making it useless.
The "Theory of Groups of Finite Order" by Burnside was first published in 1897 and a second edition in 1911; the Dover Phoenix edition is a reprint of the second edition. The book can be considered as a milestone in the theory of groups. In all prior books (with the exception of Weber's "Lehrbuch der Algebra"), the term group meant "permutation group". Burnside book intended to popularize the notion of an abstract group with the publication of this book.
Groups are defined in the second chapter, after an initial chapter on permutations. The third and fourth chapter discuss the basics of groups, including subgroups, normal subgroups, factor groups, commutators and the derived subgroup. The fifth chapter introduces the composition series of a group, and the sixth chapter discusses the automorphism group of a group. Abelian groups are discussed in chapter seven, and p-groups in chapter eight. The Sylow theorems are discussed in chapter nine. Later chapters are devoted to permutation groups, representations of groups by permutation groups, linear groups, representation theory, and even some infinite groups.
Burnside's book is still very readable, although some of terminology has changes since then. An attractive feature of the book is that it contains many more examples than one typically finds in more recent books on group theory. The exposition is very clear, so that even non-specialists can profit quite a bit. It is rather remarkable how much knowledge was already available one hundred years ago.
The book is not just interesting for historical reasons, but it provides much more examples than more recent books. Overall, I can highly recommend this classic masterpiece.
When I found a mistake in a Molien polynomial in this text, a mathematician friend reacted as if I had debased a god.
This text is a very well respected classic which is actually very hard to read and use. The half plane graph diagrams like that on page 387 fig.4 are classic and original historic in fact. This book is not for the faint of heart or those who are just beginning to study group theory, but is important as an
historical document in the development group theory.
A true classic. Still solid after over 100yrs!
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