SubjectsSubjects(version: 970)
Course, academic year 2015/2016
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Math++ - NMAI071
Title: Matematika++
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2015 to 2015
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: taught
Language: Czech
Teaching methods: full-time
Additional information: http://kam.mff.cuni.cz/Matematika++
Note: you can enroll for the course repeatedly
Guarantor: prof. RNDr. Martin Tancer, Ph.D.
doc. Mgr. Robert Šámal, Ph.D.
Teacher(s): RNDr. Radek Hušek, Ph.D.
doc. Mgr. Robert Šámal, Ph.D.
prof. RNDr. Martin Tancer, Ph.D.
Class: Informatika Mgr. - volitelný
Classification: Informatics > Informatics, Software Applications, Computer Graphics and Geometry, Database Systems, Didactics of Informatics, Discrete Mathematics, External Subjects, General Subjects, Computer and Formal Linguistics, Optimalization, Programming, Software Engineering, Theoretical Computer Science
Mathematics > Discrete Mathematics
Annotation -
Modern computer science often uses mathematical tools that reach beyond the scope of standard mathematical courses in the bachelor program. This course will present a (somewhat condensed) introduction to several fields of mathematics that proved especially useful in computer science and in discrete mathematics. Computer science applications will be shown as well. This course is suitable for master's students of computer science. The students are assumed to have prior knowledge in the extent of mandatory courses of the bachelor program in computer science.
Last update: G_I (22.05.2012)
Literature -
  • J. Matoušek: Lectures on Discrete Geometry, Springer, 2002.
  • J. Lukeš: Zápisky z funkcionální analýzy, skripta, Karolinum Praha, Univerzita Karlova, 1998, 2002, 2003.
  • J. Lukeš a J. Malý: Míra a integrál, skripta, Univerzita Karlova, 1993, 2002 (anglické vydání 1995, 2005).
  • B.D. MacCluer: Elementary Functional Analysis, Graduate Texts in Mathematics 253, Springer.
  • T. Tao: An introduction to measure theory, Graduate Studies in Mathematics, 126, American Mathematical Society, 2011.
  • H.L. Royden, P.M. Fitzpatrick: Real analysis, Prentice Hall, 2010.

Last update: IUUK (22.04.2016)
Syllabus -

The topics of the class will be modified each year. This year the focus will be on measure theory, high-dimensional geometry and functional analysis.

Last update: IUUK (22.04.2016)
 
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