书目名称 | New Foundations in Mathematics | 副标题 | The Geometric Concep | 编辑 | Garret Sobczyk | 视频video | | 概述 | Geometric algebra, the central topic of the book, provides a unique way to unify, streamline, and simplify teaching and applying many different areas of mathematics.Presents and casts new light on an | 图书封面 |  | 描述 | .The first book of its kind, .New Foundations in Mathematics: The Geometric Concept of Number. uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner..New Foundations in Mathematics. will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book fo | 出版日期 | Textbook 2013 | 关键词 | Clifford algebra; Lie algebras; geometric algebra; interpolation; linear and multilinear algebra; special | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-8385-6 | isbn_ebook | 978-0-8176-8385-6 | copyright | Springer Science+Business Media New York 2013 |
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