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Course, academic year 2017/2018
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Mathematical Analysis III - NMAI056
Czech title: Matematická analýza III
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: doc. RNDr. Martin Klazar, Dr.
prof. RNDr. Aleš Pultr, DrSc.
Class: Informatika Bc.
Classification: Mathematics > Real and Complex Analysis
Co-requisite : NMAI054
Annotation -
Last update: T_KAM (11.05.2009)

Continuation of the course in mathematical analysis for students of computer science covering the theory of metric spaces, series of functions and elements of complex analysis.
Literature -
Last update: doc. Mgr. Robert Šámal, Ph.D. (21.04.2012)

Just a few chapters from each.

W.Walter, R.Thompson, Ordinary Differential Equations, Graduate Texts in Mathematics 182, Springer, 1998

T. Tao, An introduction to measure theory, Graduate Studies in Mathematics, 126, American Mathematical Society, 2011.

Syllabus -
Last update: T_KAM (11.05.2009)

Metric spaces (compactness and properties of compact sets, compact sets in euclidean space,

complete spaces).

Series of functions (uniform convergence, properties of uniform convergence, power series, Fourier series).

Elements of complex analysis (power series in complex domain, integral, Cauchy's theorem, applications).

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