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Modern Mathematical Analysis - NUMP021

Title:	Moderní matematická analýza
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2016
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Ivan Netuka, DrSc.
Classification:	Mathematics > Real and Complex Analysis Teaching > Mathematics
Is interchangeable with:	NUMP012

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Annotation -

Last update: T_MUUK (21.04.2008)

Invitation to fundamentals of modern mathematical analysis. Introduction to continuous structures created during the last century. Illustration of relations between classical and modern analysis. Application to solution of problems of various parts of mathematical analysis.

Aim of the course -

Last update: T_MUUK (21.04.2008)

Notions of modern mathematical analysis. Introduction to the theory of continuous structures.

Literature - Czech

Last update: T_MUUK (21.04.2008)

J. Veselý: Matematická analýza pro učitele, Matfyzpress, Praha, 1997.

W. Rudin: Analýza v reálném a komplexním oboru, Academia, Praha, 2003.

Teaching methods -

Last update: T_MUUK (21.04.2008)

lecture and exercises

Syllabus -

Last update: prof. RNDr. Ivan Netuka, DrSc. (05.09.2013)

Metric spaces (separability, completeness, compactness), normed linear spaces; applications. Exercises: problems and applications to the material of the course.