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Classical Algebra: Its Nature, Origins, and Uses
Roger Cooke,
Univ. of Vermont
ISBN: 978-0-470-25952-8
©2008
206 pages
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Description
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This book combines history, pedagogy, and popularization in a unique way to produce a unified and coherent picture of algebra. It is an excellent source for readers to grasp the essence of algebra as a whole, including how it has developed and what it has developed into. The book answers questions such as: What is algebra about? How did it arise? What uses does it have? What problems and issues have arisen in its history, and how were those problems solved and those issues resolved? Most of these questions do not get answered, or even raised, in courses in algebra and those that do get raised in algebra courses are generally neglected in courses in the history of mathematics. (Modern algebra, in particular, almost never gets mentioned in general courses in the history of mathematics.) After a general introduction and description of what algebra is about in the first two chapters, the history of the subject is used as a general guide to an exploration of the grand panorama of this development over the last nine chapters. Each chapter contains thought-provoking problems in algebra and questions about algebra, for which complete answers are provided in an appendix.
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