Synthetic Differential Geometry is a method of reasoning in differential geometry and differential calculus, based on the assumption of sufficiently many nilpotent elements on the number line, in particular numbers d such that d2=0. The use of nilpotent elements allows one to replace the limit processes of calculus by purely algebraic calculations and notions. For the first half of the book, first published in 2006, familiarity with differential calculus and abstract algebra is presupposed during the development of results ...
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Synthetic Differential Geometry is a method of reasoning in differential geometry and differential calculus, based on the assumption of sufficiently many nilpotent elements on the number line, in particular numbers d such that d2=0. The use of nilpotent elements allows one to replace the limit processes of calculus by purely algebraic calculations and notions. For the first half of the book, first published in 2006, familiarity with differential calculus and abstract algebra is presupposed during the development of results in calculus and differential geometry on a purely axiomatic/synthetic basis. In the second half basic notions of category theory are presumed in the construction of suitable Cartesian closed categories and the interpretation of logical formulae within them. This is a second edition of Kock's classical text from 1981. Many notes have been included, with comments on developments in the field from the intermediate years, and almost 100 new bibliographic entries have been added.
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Add this copy of Synthetic Differential Geometry to cart. $81.22, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2006 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Line drawings, Unspecified. London Mathematical Society Lecture Note Series . 4 b/w illus. 142 exercises. Intended for professional and scholarly audience.
Add this copy of Synthetic Differential Geometry to cart. $103.71, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2006 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, Unspecified. London Mathematical Society Lecture Note Series . 4 b/w illus. 142 exercises. Intended for professional and scholarly audience.
Add this copy of Synthetic Differential Geometry (London Mathematical to cart. $103.73, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2006 by Cambridge University Press.
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Add this copy of Synthetic Differential Geometry (London Mathematical to cart. $159.18, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2006 by Cambridge University Press.