Mathematics for Cybernetics - Selected Topics

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Cybernetics

Synopsis:

Overview of modern mathematics. Ordering, lattices, Boolean algebras,

representations. Topological spaces. Metric spaces, completeness,

fixed-point theorem with applications, fractals. Linear spaces,

constructions with linear spaces. Systems of linear equations, spectral

theory. Matrix calculus, matrix inequalities. Least squares and singular

value decomposition. Tensor product. Elementary theory of Hilbert spaces.

Introduction to category theory.

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

E. Artin Geometric Algebra Paperback, Wiley-Interscience; Reprint edition

(February 1988)

Walter Rudin Real and Complex Analysis (Higher Mathematics Series) ,

McGraw-Hill Science/Engineering/Math; 3 edition (May 1, 1986)

Note:

Further information:

http://cmp.felk.cvut.cz/cmp/courses/mat4kyb/

No time-table has been prepared for this course

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)