Analysis II

The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I (3-7643-7153-6) continues. In this wa...

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Principais autores: Amann, Herbert., Escher, Joachim., SpringerLink (Online service)
Formato: Digital
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Endereço do item:http://dx.doi.org/10.1007/978-3-7643-7478-5
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spelling oai:localhost:123456789-1298262023-07-17T15:13:19Z Analysis II Amann, Herbert. Escher, Joachim. SpringerLink (Online service) Cálculo diferencial. Teoria das distribuições (Análise funcional) Funções (Matemática). Matemática. The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I (3-7643-7153-6) continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is represented in traditional textbooks. This applies, for instance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another example is the presentation of the local theory of submanifolds of Rn. 0 2022-10-06T07:51:57Z 2022-10-06T07:51:57Z 2008. Digital 517.2 A484a 9783764374785 197892 http://dx.doi.org/10.1007/978-3-7643-7478-5 http://dx.doi.org/10.1007/978-3-7643-7478-5
institution Acervo SISBI
collection SIGAA
topic Cálculo diferencial.
Teoria das distribuições (Análise funcional)
Funções (Matemática).
Matemática.
spellingShingle Cálculo diferencial.
Teoria das distribuições (Análise funcional)
Funções (Matemática).
Matemática.
Amann, Herbert.
Escher, Joachim.
SpringerLink (Online service)
Analysis II
description The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I (3-7643-7153-6) continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is represented in traditional textbooks. This applies, for instance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another example is the presentation of the local theory of submanifolds of Rn.
format Digital
author Amann, Herbert.
Escher, Joachim.
SpringerLink (Online service)
author_facet Amann, Herbert.
Escher, Joachim.
SpringerLink (Online service)
author_sort Amann, Herbert.
title Analysis II
title_short Analysis II
title_full Analysis II
title_fullStr Analysis II
title_full_unstemmed Analysis II
title_sort analysis ii
publishDate 2022
url http://dx.doi.org/10.1007/978-3-7643-7478-5
work_keys_str_mv AT amannherbert analysisii
AT escherjoachim analysisii
AT springerlinkonlineservice analysisii
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