A History of Abstract Algebra by Israel Kleiner

By Israel Kleiner

sooner than the 19th century, algebra intended the learn of the answer of polynomial equations. via the 20 th century it got here to surround the learn of summary, axiomatic structures comparable to teams, jewelry, and fields. This presentation offers an account of the historical past of the elemental recommendations, effects, and theories of summary algebra.
The improvement of summary algebra was once propelled by way of the necessity for brand new instruments to deal with convinced classical difficulties that seemed unsolvable via classical capacity. an important subject of the strategy during this publication is to teach how summary algebra has arisen in makes an attempt to resolve a few of these classical difficulties, supplying a context from which the reader may perhaps achieve a deeper appreciation of the maths involved.
Mathematics teachers, algebraists, and historians of technological know-how will locate the paintings a priceless reference. The ebook can also function a supplemental textual content for classes in summary algebra or the heritage of mathematics.

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