Primer of Abstract Mathematics

Ships same day or next business day! Expedited shipping available. Used sticker and some writing and/or highlighting. Used books may not include working access code or dust ja [more]

Ships same day or next business day! Expedited shipping available. Used sticker and some writing and/or highlighting. Used books may not include working access code or dust jacket. [less]

Brand new. We distribute directly for the publisher. This book will help prepare the reader to cope with abstract mathematics, specifically abstract algebra. The intended aud [more]

Brand new. We distribute directly for the publisher. This book will help prepare the reader to cope with abstract mathematics, specifically abstract algebra. The intended audience consists of prospective math majors, those taking or intending to take a first course in abstract algebra who feel the need to strengthen their background, and students in applied fields who need some experience in dealing with abstract mathematical ideas.Learning any area of abstract mathematics will involve writing formal proof[less]

Brand new. We distribute directly for the publisher. This book will help prepare the reader to cope with abstract mathematics, specifically abstract algebra. The intended aud [more]

Brand new. We distribute directly for the publisher. This book will help prepare the reader to cope with abstract mathematics, specifically abstract algebra. The intended audience consists of prospective math majors, those taking or intending to take a first course in abstract algebra who feel the need to strengthen their background, and students in applied fields who need some experience in dealing with abstract mathematical ideas. Learning any area of abstract mathematics will involve writing formal proofs, but it is at least as important to learn to think intuitively about the subject and to express ideas clearly and cogently using ordinary English. The author aids intuition by keeping proofs short and as informal as possible, using concrete examples which illustrate all the features of the general case, and by giving heuristic arguments when a formal development would take too long. The text can serve as a possible model on how to write mathematics for an audience with limited experience in formalism and abstraction. Ash presents several expository innovations. He presents an entirely informal development of set theory that gives students the basic results that they will need in algebra. One of the chapters which presents the theory of linear operators, introduces the Jordan Canonical Form right at the beginning, with a proof of existence at the end of the chapter.[less]