Abstract
Geometric Calculus is primarily concerned with the theory and techniques for differentiating and integrating geometric functions, that is, functions whose domain and range are subsets of the Universal Geometric Algebra G. This chapter deals with the differentiation of functions defined on linear subspaces of G. Differentiation can be defined on more general subsets of G called manifolds, and this will be considered in Chapter 4. But in the interest of simplicity, it is best to study calculus on linear spaces first. Calculus on more general manifolds involves differential geometry.
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Hestenes, D., Sobczyk, G. (1987). Differentiation. In: Clifford Algebra to Geometric Calculus. Fundamental Theories of Physics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6292-7_2
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DOI: https://doi.org/10.1007/978-94-009-6292-7_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-2561-5
Online ISBN: 978-94-009-6292-7
eBook Packages: Springer Book Archive