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Titlebook: New Foundations in Mathematics; The Geometric Concep Garret Sobczyk Textbook 2013 Springer Science+Business Media New York 2013 Clifford al

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發(fā)表于 2025-3-21 18:48:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)New Foundations in Mathematics
副標(biāo)題The Geometric Concep
編輯Garret Sobczyk
視頻videohttp://file.papertrans.cn/666/665223/665223.mp4
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
圖書(shū)封面Titlebook: New Foundations in Mathematics; The Geometric Concep Garret Sobczyk Textbook 2013 Springer Science+Business Media New York 2013 Clifford al
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
關(guān)鍵詞Clifford algebra; Lie algebras; geometric algebra; interpolation; linear and multilinear algebra; special
版次1
doihttps://doi.org/10.1007/978-0-8176-8385-6
isbn_ebook978-0-8176-8385-6
copyrightSpringer Science+Business Media New York 2013
The information of publication is updating

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https://doi.org/10.1007/978-0-8176-8385-6Clifford algebra; Lie algebras; geometric algebra; interpolation; linear and multilinear algebra; special
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Geometric Algebra,The real number system . has a long and august history spanning a host of civilizations over a period of many centuries [17]. It may be considered the rock upon which many other mathematical systems are constructed and, at the same time, serves as a model of desirable properties that any extension of the real numbers should have.
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Hermitian Inner Product Spaces,In the last chapter, we discovered that the positive definite quadratic form (3.28) used to define the inner product of the Euclidean space ., and the corresponding geometric algebra ., is only one of the many possible quadratic forms. We now introduce the .. of a general .. and the corresponding geometric algebra ..
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Calculus on ,-Surfaces,We apply all of the machinery of linear algebra developed in the preceding chapters to the study of calculus on an .-surface. The concept of the boundary of a surface is defined, and the classical integration theorems in any dimension follow from a single ..1
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