M8180 Nonlinear Functional Analysis

Faculty of Science
Spring 2008
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. Alexander Lomtatidze, DrSc. (lecturer)
Guaranteed by
prof. Alexander Lomtatidze, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 8:00–9:50 UP2
  • Timetable of Seminar Groups:
M8180/01: Mon 10:00–10:50 UP2, A. Lomtatidze
Prerequisites
M6150 Linear Functional Analysis I
Differential and integral calculus, Linear functional analysis I and II, Linear algebra.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
  • Mathematics (programme PřF, M-MA, specialization Mathematical Analysis)
  • Mathematics (programme PřF, N-MA, specialization Mathematical Analysis)
Course objectives
The aim of the course is to introduce the bases of nonlinear functional analysis, namely differential and integral calculus in normed spaces and their applications. At the end of this course, students should be able to: understand and explain basic notions of nonlinear functional analysis and relations between them.
Syllabus
  • 1. Differential calculus in normed spaces. Freschet and Gateaux differentials. Integral calculus in normed spaces. Newton-Leibnitz formula. Higher order derivatives. Taylor formula. 2. Application of differential calculus. 3. Degree theory.
Literature
  • Lang, S. Real and Functional Analysis. Third Edition. Springer-Verlag 1993.
  • KOLMOGOROV, Andrej Nikolajevič and Sergej Vasil‘jevič FOMIN. Základy teorie funkcí a funkcionální analýzy. Translated by Vladimír Doležal - Zdeněk Tichý. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1975, 581 s. info
Assessment methods
Teaching: lecture 3 hours a week, seminar 1 hours a week. Examination: written and oral.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2010.
  • Enrolment Statistics (Spring 2008, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2008/M8180