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Analysis II
ISBN/EAN: 9783764374723
Umbreit-Nr.: 1859164
Sprache:
Englisch
Umfang: xii, 400 S.
Format in cm: 2.1 x 24 x 17
Einband:
kartoniertes Buch
Erschienen am 16.05.2008
Auflage: 1/2008
- Zusatztext
- 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 is continued. In this way a sustainable basis is created which allows the reader to deal with interesting applications that sometimes go beyond material 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.
- Kurztext
- Cauchy's integral theorems and the theory of holomorphic functions including the homological version of the residue theorem are derived as an application of the theory of line integralsIn addition to the calculation of important definite integrals which appear in Mathematics and in Physics, theoretic properties of the Gamma function and Riemann's Zeta function are exploredNumerous examples with varying degrees of difficulty and many informative figuresIncludes supplementary material: sn.pub/extras
- Autorenportrait
- InhaltsangabeIntegral calculus in one variable.- Multivariable differential calculus.- Line integrals.