Mathematical analysis 2 06-DANALM2
Fundamental knowledge and abilities on metric spaces and the importance of this knowledge for the unification of the analysis of functions of several variables, fundamental knowledge and abilities on series of real numbers, tests for their convergence and divergence, sequences and series of functions; their convergence and uniform convergence and tests on checking these facts, applications of function (power and trigonometric) series, Banach spaces and operators between such spaces.
Course coordinators
Bibliography
Handbooks:
W. Rudin, Podstawy analizy matematycznej, PWN, Warszawa, 1982
H. J. Musielakowie, Analiza matematyczna, Vol.1, part 1 & 2, Wydawnictwo Naukowe UAM, Poznań, 1993
A. Sołtysiak, Analiza matematyczna, Part I & II, Wydawnictwo Naukowe UAM, Poznań, 1995(1996)
G. M. Fichtenholz, Rachunek różniczkowy i całkowy, Vol. 1,2 i 3, PWN, Warszawa 1994 (1995)
Bernd S.W. Schroder, Mathematical analysis, Wiley-Interscience, A John Wiley h Sons, Inc, Publication, 2008
Robert A. Adams, Calculus: a complete course, Addison-Wesley Publishers Limited, 1991
Exercises books:
W. Krysicki, L. Włodarski, Analiza Matematyczna w zadaniach, Vol. I, PWN, Warszawa 2003
J. Banaś, S. Wędrychowicz, Zbiór zadań z analizy matematycznej, Wydawnictwo Naukowo-Techniczne, Warszawa 2003
B.P. Demidowicz, Zbiór zadań z analizy matematycznej, Vol. I,II, Naukowa Książka, Lublin 1992(1993)
Wiesława J. Kaczor, Maria T. Nowak, Zadania z analizy matematycznej, Vol. I & II, PWN, Warszawa 2005(2005)
Additional information
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