| 書目名稱 | Numbers and Geometry | | 編輯 | John Stillwell | | 視頻video | http://file.papertrans.cn/669/668902/668902.mp4 | | 概述 | Highly accessible, the book presupposes only high school algebra and therefore can be read by any well prepared student entering university.Written by a clear and skillful author who has published sev | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square. This book covers the main ideas of Euclid--geometry, arithmetic and the theory of real numbers, but with 2000 years of extra insights attached. NUMBERS AND GEOMETRY presupposes only high scho | | 出版日期 | Textbook 1998 | | 關(guān)鍵詞 | Area; Prime; Volume; calculus; set | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0687-3 | | isbn_softcover | 978-1-4612-6867-3 | | isbn_ebook | 978-1-4612-0687-3Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1998 |
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