Andrey Melnikov

Address Department of  Mathematics Ben Gurion University Be'er Sheva 84105 Israel Phone: +972-8-6477831 Fax: +972-8-6477648 E-mail: andreym at bgu dot ac dot il Room NO.: 311 Office hours:

Education B.Sc. Math. : BGU 1998 B.Sc. El. Eng.: BGU 1998 M.Sc. El. Eng.: BGU 2003 PhD Math.: BGU 2009

Research

Research Interests: System theory, Operator theory.

Research (PhD) proposal: proposal

Articles in preparation: http://arXiv.org/abs/0812.3779, http://arXiv.org/abs/0812.3970, Sl Vessels

Academic CV

Lectures

Lecture on the basic theorem of projective geometries

Student seminar at BGU

We have a student seminar, which is mostly intended for advanced students in theoretical mathematics (Msc and Phd students and excellent undergraduate students). For more information follow the link seminar.

Teaching

1. 2004

Semester A 201-1-9531  Linear Algebra for Communication Engineering

Semester B 201-1-9721 Calculus II for Mechanical Engin.

2. 2005

Semester A 201-1-0011 Calculus I 201-1-0041 Advanced Analysis for Electrical Engineering

Semester B 201-1-0021 Calculus II 201-1-2201 Discrete Mathematics

Summer Semester 201-1-2201 Discrete Mathematics

3. 2006

Semester A 201-1-0011 Calculus I 201-1-0201 Introduction to Logic And Set theory

Semester B 201-1-2201 Discrete Mathematics 201-1-7021 Algebra II

4. 2007

Semester A 201-1-0201 Introduction to Logic And Set theory 201-1-7031 Algebraic Structures (Algebra III) 201-1-0061 ODE’s, exercises

Semester B 201-1-2201 Discrete Mathematics

5. 2008

Semester A 201-1-0011 Introduction to Logic And Set theory 201-1-0041 Advanced Analysis for Electrical Engineering 201-1-0031 Calculus III (Metric spaces, Multi-dim Integrals)

Semester B Calculus II Complex Analysis

Summer Semester 201-1-2201 Discrete Mathematics Calculus II

6. 2009 (Lecturer)

Semester A 201-1-9661 Intr. to Logic and Discrete math 201-1-0071 Intr. to Complex Analysis

Semester B 201-1-9821 Calculus II for el. and comp. eng

Hedva B1 for el. Engineering – exercises.

Calculus 1 - Some solutions to exercises (IN HEBREW):

One of the students has told me that I have to work on my handwriting. Sorry for that (if there is somebody, who wants to overwrite it, please, let me know J).

1. Series (סדרות)

2. Cauchy criteria, Lim sup, Lim inf

3. Limits of simple functions

4. Continuous functions (clues to exercises)

5. Continuous functions (solutions)

6. Equicontinuity

7. Limits of functions

8. L’Hospital

9. Taylour&Graphs

10. Integrals

Algebra 1 – methods for solutions of standard problems in Linear algebra (HEBREW).

Stuff

• Gallery
• Some picture of my daughters: Leah, Adele, with glasses. Prasad Vegulla is responsible for the high quality.
• Grothendieck (what happened…):
1. His life.
2. Le mathématicien français Alexandre Grothendieck refuse le prix Crafoord. (article).
3. Comment je suis devenu militant ? (article).

• Books :
1. N. Dunford, J.T. Schwartz “Linear operators”
2. Stan Wagon “The Banach-Tarskii paradox”
3. M. van der Put, M.F. Singer “Galois theory of linear differential equations”

Number of visitors (Since 10.1.2005)