By Israel Kleiner

sooner than the 19th century, algebra intended the examine of the answer of polynomial equations. by way of the 20 th century it got here to surround the research of summary, axiomatic structures reminiscent of teams, jewelry, and fields. This presentation presents an account of the background of the elemental innovations, effects, and theories of summary algebra.
The improvement of summary algebra used to be propelled via the necessity for brand spanking new instruments to deal with convinced classical difficulties that seemed unsolvable by means of classical capability. an important topic of the method during this booklet is to teach how summary algebra has arisen in makes an attempt to unravel a few of these classical difficulties, delivering a context from which the reader may well achieve a deeper appreciation of the math involved.
Mathematics teachers, algebraists, and historians of technology will locate the paintings a invaluable reference. The publication can also function a supplemental textual content for classes in summary algebra or the historical past of mathematics.

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A History of Abstract Algebra by Israel Kleiner


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