| 书目名称 | Field Theory |
| 编辑 | Steven Roman |
| 视频video | |
| 概述 | This new edition has been completely rewritten for greater accessibility, and includes considerable new material.The new chapter on ordered sets contains material that cannot be found in other books.T |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials – the Kummer theory. ..This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have also been improved and a new chapter on ordered fields has been included...About the first edition:.." ...the author has gotten across many important ideas and results. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study."..-J.N. Mordeson, Zentralblatt.."The book is written in a clear and explanatory style. It contains over 235 exercises which provide a challenge to the reader. The book is recommended for a graduate course in field theory as well as for independent study.". |
| 出版日期 | Textbook 2006Latest edition |
| 关键词 | Irreducibility; Vector space; algebra; binomial; finite field |
| 版次 | 2 |
| doi | https://doi.org/10.1007/0-387-27678-5 |
| isbn_softcover | 978-1-4419-2095-9 |
| isbn_ebook | 978-0-387-27678-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2006 |
发表于 2025-3-21 18:33:22
