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Geometric calculus introduces a system of operations on geometric entities, paralleling algebra’s role with numbers. It allows for the formulation of geometric constructions and the representation of geometric propositions through equations, focusing on the entities themselves rather than their numerical representations. Historical contributions include Leibniz's early attempts and advancements by Mobius, Bellavitis, Hamilton, and Grassmann, with the latter's Ausdehnungslehre being particularly comprehensive yet complex, hindering its broader acceptance among mathematicians.
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Geometric Calculus, Giuseppe Peano
- Language
- Released
- 2011
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- (Paperback)
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- Title
- Geometric Calculus
- Subtitle
- According to the Ausdehnungslehre of H. Grassmann
- Language
- English
- Authors
- Giuseppe Peano
- Publisher
- Birkhäuser Boston
- Released
- 2011
- Format
- Paperback
- Pages
- 172
- ISBN13
- 9781461274278
- Category
- Mathematics
- Description
- Geometric calculus introduces a system of operations on geometric entities, paralleling algebra’s role with numbers. It allows for the formulation of geometric constructions and the representation of geometric propositions through equations, focusing on the entities themselves rather than their numerical representations. Historical contributions include Leibniz's early attempts and advancements by Mobius, Bellavitis, Hamilton, and Grassmann, with the latter's Ausdehnungslehre being particularly comprehensive yet complex, hindering its broader acceptance among mathematicians.