書目名稱 | From Natural Numbers to Quaternions |
編輯 | Jürg Kramer,Anna-Maria von Pippich |
視頻video | http://file.papertrans.cn/349/348811/348811.mp4 |
概述 | Provides a self-contained introduction to the construction of integers, rationals, reals, complex numbers and Hamilton‘s quaternions.Develops the basic prerequisites in group and ring theory as well a |
叢書名稱 | Springer Undergraduate Mathematics Series |
圖書封面 |  |
描述 | .This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton‘s quaternions...Along the way, the authors carefully develop the necessary concepts and methods from abstract algebra: monoids, groups, rings,?fields, and skew fields. Each chapter ends with an appendix discussing related topics from algebra and number theory, including recent developments reflecting the relevance of the material to current research...The present volume is intended for undergraduate courses in abstract algebra or elementary number theory. The inclusion of exercises with solutions also makes it suitable for self-study and accessible to anyone with an interest in modern algebra and number theory.. |
出版日期 | Textbook 2017 |
關(guān)鍵詞 | MSC (2010): 08–01, 11–01, 12–01, 20–01; integers construction; rational numbers construction; real numb |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-69429-0 |
isbn_softcover | 978-3-319-69427-6 |
isbn_ebook | 978-3-319-69429-0Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
issn_series | 1615-2085 |
copyright | Springer International Publishing AG 2017 |