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Synthetic differential geometry
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ISBN: 9780511550812 9780521687386 9781107362888 1107362881 0511550812 9781107367791 1107367794 0521687381 1139882619 110737233X 0511957181 1299405398 1107365333 Year: 2006 Publisher: Cambridge New York Cambridge University Press

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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.


Book
The numerical treatment of differential equations
Authors: ---
Year: 1966 Publisher: Berlin: Springer,

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Book
Transversal mappings and flows
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Year: 1967 Publisher: New York: Benjamin,

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Book
Lectures on ordinary differential equations
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Year: 1964 Publisher: New York: Wiley,

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Book
Lectures on ordinary differential equations
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Year: 1970 Publisher: New York: Wiley,

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Book
Differential forms
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ISBN: 9789813272774 9813272775 9789811213779 9811213771 Year: 2019 Publisher: New Jersey: World scientific,

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Book
Invariants of quadratic differential forms
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Year: 1952 Publisher: Cambridge: Cambridge university press,

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Book
Repetitorium und Aufgabensammlung zur Differentialrechnung
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Year: 1949 Publisher: Berlin: Walter de Gruyter,

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Differentialgeometrie und Topologie : internationales Kolloquium, Zürich 1960
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Year: 1962 Publisher: Genève : Enseignement mathématique,

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Differential operators of infinite order with real arguments and their applications
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ISBN: 9810216114 Year: 1994 Publisher: Singapore : World scientific,

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