Subjects

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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 2018
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/0, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time

Classification:	Mathematics > Real and Complex Analysis Teaching > Mathematics
Is interchangeable with:	NUMP012

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Annotation -

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.

Last update: T_MUUK (21.04.2008)

Aim of the course -

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

Last update: T_MUUK (21.04.2008)

Literature - Czech

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

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

Last update: T_MUUK (21.04.2008)

Teaching methods -

lecture and exercises

Last update: T_MUUK (21.04.2008)

Syllabus -

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

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