Titlebook: Geometric Multiplication of Vectors; An Introduction to G Miroslav Josipović Textbook 2019 Springer Nature Switzerland AG 2019 geometric (C

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978-3-030-01755-2Springer Nature Switzerland AG 2019

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unit pseudoscalar . commutes with all elements of the algebra and squares to −1, and therefore, it is an ideal replacement for the ordinary imaginary unit (there are many “imaginary units” in GA). A pseudoscalar with such properties will appear again in .7, .11, … (see E10). Here we often use a very

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Jacqueline Anne Braveboy-Wagnererefore, we can define the exponential function of the elements of a geometric algebra. In .3, we have four important types of elements (numbers): . (dual numbers, square to zero), . (square to −1), . (square to 1), and . (square to itself). Nilpotents are the easiest to deal with: the expansion (∗)

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Miroslav JosipovićAn 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

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Appendix,dual numbers, square to zero), . (square to −1), . (square to 1), and . (square to itself). Nilpotents are the easiest to deal with: the expansion (∗) gives zeros, except for the first two terms, and consequently, we have

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