Source: Examples of the processes of the differential and integral calculus, (1841), p. 237; Lead paragraph of Ch. XV, On General Theorems in the Differential Calculus,; Cited in: James Gasser (2000) A Boole Anthology: Recent and Classical Studies in the Logic of George Boole,, p. 52
“Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.”
Geometric Calculus (1895) as translated by Lloyd C. Kannenberg (2000) "The Operations of Deductive Logic'" Ch. 1 "Geometric Formations"
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Giuseppe Peano 7
Italian mathematician 1858–1932Related quotes
“Calculus systematically evades a great deal of numerical calculation.”
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
As quoted in Gauss, Werke, Bd. 8, page 298
As quoted in Memorabilia Mathematica (or The Philomath's Quotation-Book) (1914) by Robert Edouard Moritz, quotation #1215
As quoted in The First Systems of Weighted Differential and Integral Calculus (1980) by Jane Grossman, Michael Grossman, and Robert Katz, page ii
As quoted in "A Paper of Omar Khayyam" by A.R. Amir-Moez in Scripta Mathematica 26 (1963). This quotation has often been abridged in various ways, usually ending with "Algebras are geometric facts which are proved", thus altering the context significantly.
Cause, Principle, and Unity (1584)
Variant: Everything that makes diversity of kinds, of species. differences, properties, everything that consists in generation, decay, alteration and change, is not an entity, but condition and circumstances of entity and being, which is one, infinite, immobile, subject, matter, life, soul, truth and good.
Gaia: A New Look at Life on Earth (1979)
Representation and recognition of the spatial organization of three-dimensional shapes, 1978
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 6; As cited in: Leandro N. De Castro, Fernando J. Von Zuben, Recent Developments in Biologically Inspired Computing, Idea Group Inc (IGI), 2005 p. 236
Source: Adventures of a Mathematician - Third Edition (1991), Chapter 11, The 'Super', p. 222