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1 introduction 1.1 what is algebra if you ask someone on the street this question the most likely response will be something horrible to do with x y and z . if you re lucky enough to bump into a mathematician then you might get something along the lines of algebra is the abstract encapsulation of our intuition for composition .
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algebra and are discussed next applications the question of including applications of abstract algebra in an undergraduate course especially a one semester course is a touchy one. either one runs the risk of making a visibly weak case for the applicability of the notions of abstract algebra or on the other handby including substantive
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lang s 914 page algebra4 and dummit and foote s 932 page abstract algebra.5 acknowledgements this book is partially based on the author s notes for a unit of brown university s mathematics 760 introduction to higher mathematics. the au thor would like to thank melody chan for her numerous corrections and suggestions.
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