| 书目名称 | Geometric Multiplication of Vectors | | 副标题 | An Introduction to G | | 编辑 | Miroslav Josipović | | 视频video | | | 概述 | An excellent starting point for beginners in the field.An advanced high school student can learn basic concepts from the book.Gradual introduction of concepts with many figures and solved examples | | 丛书名称 | Compact Textbooks in Mathematics | | 图书封面 |  | | 描述 | .This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric a | | 出版日期 | Textbook 2019 | | 关键词 | geometric (Clifford) algebra; rotations; spinors; quaternions; multivectors; Euclidean space; relativity; q | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-01756-9 | | isbn_softcover | 978-3-030-01755-2 | | isbn_ebook | 978-3-030-01756-9Series ISSN 2296-4568 Series E-ISSN 2296-455X | | issn_series | 2296-4568 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 19:43:45
