Darren Glass reviews Martin Gardner in the Twenty-First Century

Darren Glass reviews Martin Gardner in the Twenty-First Century edited by Michael Henle and Brian Hopkins as an MAA review. Martin Gardner is probably as close as any author covered by MAA Reviews could come to needing no introduction. So rather than spend my own energy trying to write one, let me quote from a few other reviews of his works that have been written on this site over the years:      “Martin Gardner is a national treasure, someone whose           contribution to mathematics has been immense.”      “Ask almost any mathematician who grew up during the       1960s or 1970s, and they’ll tell you about the enormous       influence Martin Gardner’s Mathematical Games column had on them.” “[Gardner] has enlightened, educated and delighted readers around the world during many decades as a prolific contributor to many publications” “It is hard to exaggerate the importance and influence of these books. You must have them! Buy one for yourself, and buy many to give away.” To read the whole review, click here. To purchase, visit the MAA Store or the MAA eBooks Store. Darren Glass is an Associate Professor of Mathematics at Gettysburg College, and one of the best mathematical experiences he has had was speaking at a Gathering For Gardner conference a few years ago. He would be happy to ramble about how great it was or any number of other topics, and can be reached at dglass@gettysburg.edu.

Mark Hunacek reviews A Guide to Groups, Rings, and Fields

Mark Hunacek reviews A Guide to Groups, Rings, and Fields by Fernando Gouvêa as an MAA review. "The MAA Guide series — a subset of the Dolciani Mathematical Expositions — is rapidly becoming one of my favorite series of books. I like expository books that provide a quick and interesting entrée into an area of mathematics, or a useful source of examples, and that is precisely what these are. They are also, thanks to careful selection of authors, generally very well-written, informative and particularly useful as a resource for a varied audience. This book, the most recent one in the series (number 8, following books on complex variables, advanced real analysis, real variables, topology, elementary number theory, advanced linear algebra and plane algebraic curves) continues this tradition." To read the whole review, click here. To purchase a copy visit the MAA Store or the MAA eBooks Store.

New Book: A Guide to Groups, Rings, and Fields

A Guide to Group, Rings, and Fields by Fernando Q. Gouvêa This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work. Available in the MAA Store and the MAA eBooks Store. Use coupon code 1563872069 to receive 10% off your entire purchase. This coupon is good only in the MAA eBooks Store. Offer Expires:  December 31, 2012