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ILEANA  DUMA
Mathematics Teacher
Pleșoi Secondary School
 
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  emailme.gif  at  ileanaduma@yahoo.com

  Contents of my homepage

Grants & Projects

 

1. Grant CNCSIS tip_AT nr. 10/2007, GR.85/25.05.2007
   "Organizational reengineering as an efficient solution to business fund restructuration. Study case regarding reengineering projects elaboration using informational technologies" (Spiru Haret University)

2. Project "Teachers professional development through mentorship activity" (Teasc Secondary School)

3. Project "Primary, secondary and high school teachers professional training for new opportunities in career development"

(Tehnical University of Civil Engineering Bucharest)

   

 Research Interests

 

   I think it is very difficult to evaluate a mathematician or a part of mathematics. There are a lot of beautiful things to be done in mathematics. And mathematics is, basically, individual. I don't believe you can do mathematics with a group.

   I have no difficulty in doing mathematics, so when I do mathematics, I enjoy it. And therefore I'm always doing mathematics, because the other things I cannot do. There is nothing else I can do well. And I think this will be true throughout my life.

   Although I teach mathematics at a secondary school, my main research interests are in:

a) Nonlinear Functional Analysis

b) Axiomatic Topological Degree Theory

c) Nonlinear Evolution Equations

d) Bases in Banach Spaces

e) Nonlinear Operators of Monotone Type

 

Latest Publications

 

1. "Nirenberg-type problems in Banach lattices", Adrian Duma and Ileana Duma, Journal of Applied Analysis 16 (2010),

pp. 189-197.

2. "The topological degree in Ordered Banach Spaces", Adrian Duma and Ileana Duma, Acta Mathematica Sinica, English Series, vol. 24 (2008), no. 10, pp. 1583-1592.

3. "A Separable Normed Space that is Isometric to a Hamel Base of Itself", Adrian Duma and Ileana Duma, Chiang Mai University Journal (Thailand), vol. 4 (2005), no.3, pp. 257-259.

4. "Building super-additive manifolds", Adrian Duma and Ileana Diamandescu, Anal. Univ. Craiova Ser. Mat. Inform. 30 (2003), no. 2, pp. 71-84.

 

Papers in Preparation

 

1. "On some Numerical Inequalities involving Transcendental Terms" (to be submitted)

2. "Degree theories for discontinuous mappings". (I'm working hard on it.)  

 

Courses

 

1. Special educational needs approaches in the classroom (CES)

2. Computer usage initiation

3. Conciliation and guidance

4. Character First

5. Competences, skills and transversal attitudes for all Pestalozzi teachers – Core Components Third Module -

 “How to make your own learning style work for you”

6. Library working initiation

7. Evaluating competences in Mathematics   

 

Non-mathematical Interests

 

READING, COOKING, SWIMMING, TENNIS, DRIVING, TRAVELLING, SHOPPING, MUSIC, MOVIES, CHESS  

 

Some nice mathplaces to visit on the web 

    

   European Mathematical Information Service

   American Mathematical Society

   Automatic Math Solutions

   The Mathforum

   Topology Atlas

Favourite quotations

 

 "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." (David Hilbert)

 "One may be a mathematician of the first rank without being able to compute. It is possible to be a great computer without having the slightest idea of mathematics." (Novalis)

 "Brouwer's Theorem: Every function from [0,1] to R is uniformly continuous."

 "Mathematicians are born, not made." (Henri Poincare)

 "No one shall expel us from the paradise that Cantor has created for us." (David Hilbert)