The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries. The book was written because the authors could find no adequate text to use with their students at Harvard. Both had learned "Modern Algebra" from van der Waerden's famous text originally published in One has to admire the insight of the authors in judging that the "modern" approach was the way of the future and their willingness to write a book that would be accessible to undergraduates. It was largely through this book, supplemented later by I. Herstein's Topics in Algebra , that the new algebraic ideas were incorporated into American mathematics education.
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Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Preview — Algebra by Saunders Mac Lane. Algebra by Saunders Mac Lane ,. Garrett Birkhoff. This volume presents modern algebra from first principles and is accessible to undergraduates or graduates.
It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for i This volume presents modern algebra from first principles and is accessible to undergraduates or graduates.
This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. Get A Copy. Hardcover , pages. More Details Original Title. Other Editions 6. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Algebra , please sign up. Lists with This Book.
Community Reviews. Showing Average rating 4. Rating details. More filters. Sort order. Start your review of Algebra. Jun 25, Nigel Lim rated it it was amazing. Well-written and memorably elegant proofs written by two of the modern pioneers of algebra. Not necessarily easy reading especially regarding the use of category theory, for one new to it , but develops mathematical maturity and conceptual connections nicely. Covers just about all the algebra a typical undergraduate is likely to cover likely more, depending on ones emphasis.
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A Survey of Modern Algebra
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Garrett Birkhoff January 19, — November 22, was an American mathematician. He is best known for his work in lattice theory. The mathematician George Birkhoff — was his father. Upon completing his Harvard BA in , he went to Cambridge University in England to study mathematical physics but switched to studying abstract algebra under Philip Hall. Birkhoff held no Ph. Nevertheless, after being a member of Harvard's Society of Fellows , —36, he spent the rest of his career teaching at Harvard.