Analysis II

Herbert Amann, Joachim Escher9783764374723, 3764374721

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.

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Table of contents :
31Gonqxa7qL……Page 1
00front-matter……Page 2
01……Page 12
02……Page 125
03……Page 289
back-matter……Page 396