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6, ISBN: 9780511893797

ID: 101159780511893797

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 familiarity with differential calculus and abstract algebra is presupposed during the development of resul 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 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. Topology, Mathematics, Synthetic Differential Geometry~~ Kock, Anders~~Topology~~Mathematics~~9780511893797, en, Synthetic Differential Geometry, Kock, Anders, 9780511893797, Cambridge University Press, 06/01/2006, , , , Cambridge University Press, 06/01/2006

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2006, ISBN: 9780511893797

ID: 17376787

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. 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. eBooks, , Synthetic Differential Geometry~~EBook~~9780511893797~~Anders Kock, , Synthetic Differential Geometry, Anders Kock, 9780511893797, Cambridge University Press, 06/22/2006, , , , Cambridge University Press

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2006, ISBN: 9780511893797

ID: 126024520

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. Synthetic Differential Geometry eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen, Cambridge University Press

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2006, ISBN: 9780511893797

ID: 126024520

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. Synthetic Differential Geometry eBook eBooks>Fachbücher>Mathematik, Cambridge University Press

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2006, ISBN: 9780511893797

ID: 3d108cedcb79ee0961e7613f21257d12

Synthetic Differential Geometry 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. eBooks / Fachbücher / Mathematik, Cambridge University Press

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** Details of the book - Synthetic Differential Geometry**

EAN (ISBN-13): 9780511893797

Publishing year: 6

Publisher: Cambridge University Press

Book in our database since 16.09.2009 08:07:35

Book found last time on 14.01.2017 06:27:55

ISBN/EAN: 9780511893797

ISBN - alternate spelling:

978-0-511-89379-7

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