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Vladimir Petrovich Potapov  
  
100   01:21 مساءً   date: 17-12-2017
Author : I Gohberg and L A Sakhnovich
Book or Source : Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume
Page and Part : ...


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Date: 13-12-2017 114
Date: 17-12-2017 133
Date: 16-11-2017 28

Born: 24 January 1914 in Odessa, Ukraine

Died: 21 December 1980 in Kharkov, Russia


Vladimir Potapov did not attend school but was taught, from the age of six, by his father who was a lecturer in Old Russian Literature at the University of Odessa. Potapov's father taught him mathematics, history, literature and languages. However he had a special music teacher, as music was at this stage his first love, and his mother also assisted in his education also teaching him literature.

Potapov entered Odessa conservatory to study music and for three years he followed the course. At this time, see [3]:-

He was well educated and, although only seventeen, very serious. Whatever he did, he did in a very serious fashion, he walked and spoke slowly, and had his own opinion about everything. Even his teachers at the conservatory respected his profundity and thoroughness and called him 'professor'. And, as time proved, they were not mistaken.

However he did not complete the four year course, transferring instead to the Faculty of Physics and Mathematics at Odessa University.

At Odessa University, Potapov was a student of Livsic and he was also taught by Livsic's teacher Krein. After graduating in 1939 he began to work for his doctorate on the problem of divisors of almost periodic polynomials. Europe was disrupted by World War II soon after he began his doctoral work but due to poor eyesight Potapov did not have to undertake military duties. He was sent to the Odessa Institute of Marine Engineer, however, to undertake mathematical work in keeping with the war effort.

In 1941 Potapov was evacuated from Odessa which is in south-western Ukraine on the Black Sea coast. He taught at a school in Fari but was allowed to return to Odessa in 1944 and, much delayed by the war, submitted his doctoral thesis to Odessa University in 1945.

When the war was over people of Jewish descent were victimised. In particular Jewish lecturers at Odessa such as Krein and Livsic were dismissed from their posts. Potapov was not Jewish but he wrote an article attacking the policy of dismissing Jewish lecturers:-

The leaders of the university have to correct their mistakes and to revive immediately the famous traditions of the Odessa School of Mathematics. The Faculty of Physics and Mathematics has to become active again, as a really creative centre of scientific and mathematical thought in our city ....

He did not stop at an article as is explained in [3]:-

During the forties and fifties V P Potapov made many unsuccessful attempts to bring M G Krein and his students back to the university. The leaders of the Faculty of Physics and Mathematics could not forgive him for this. In fact they prohibited the use of any subject connected with Potapov's investigations as a theme for a diploma.

In 1948 Potapov was invited to the Pedagogical Institute at Odessa. He soon became Head of Mathematics and, from 1952, Dean of the Faculty of Physics and Mathematics. He used his position to invite Livsic and others to the Institute.

During the 1950s Potapov worked on the theory of J-contractive matrix functions and the analysis of matrix functions became his main work. He published papers on the multiplicative theory of analytic matrix functions in the years 1950-55 which contain work from his doctoral thesis. He also worked on interpolation problems.

From 1974 Potapov lectured at Odessa Institute of National Economy, then he went to Kharkov to head the Department of Applied Mathematics at the Institute for low temperature physics.


 

Books:

  1. I Gohberg and L A Sakhnovich (eds.), Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume (Basel- Boston, 1994).

Articles:

  1. D Z Arov, The influence of V P Potapov and M G Krein on my scientific work, in I Gohberg and L A Sakhnovich (eds.), Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume (Basel- Boston, 1994), 1-16.
  2. D Z Arov, Yu P Ginzburg, S M Pozin and L A Sakhnovich, Vladimir Petrovich Potapov, in I Gohberg and L A Sakhnovich (eds.), Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume (Basel- Boston, 1994), xi-xviii.
  3. Curriculum vitae of V P Potapov, in I Gohberg and L A Sakhnovich (eds.), Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume (Basel- Boston, 1994), xix.
  4. L B Golinskii, The last days of Vladimir Petrovich Potapov, in I Gohberg and L A Sakhnovich (eds.), Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume (Basel- Boston, 1994), xxvi-xxviii.
  5. List of publications of V P Potapov, in I Gohberg and L A Sakhnovich (eds.), Matrix and operator valued functions : The Vladimir Petrovich Potapov memorial volume (Basel- Boston, 1994), xx-xxii.

 




الجبر أحد الفروع الرئيسية في الرياضيات، حيث إن التمكن من الرياضيات يعتمد على الفهم السليم للجبر. ويستخدم المهندسون والعلماء الجبر يومياً، وتعول المشاريع التجارية والصناعية على الجبر لحل الكثير من المعضلات التي تتعرض لها. ونظراً لأهمية الجبر في الحياة العصرية فإنه يدرّس في المدارس والجامعات في جميع أنحاء العالم. ويُعجب الكثير من الدارسين للجبر بقدرته وفائدته الكبيرتين، إذ باستخدام الجبر يمكن للمرء أن يحل كثيرًا من المسائل التي يتعذر حلها باستخدام الحساب فقط.وجاء اسمه من كتاب عالم الرياضيات والفلك والرحالة محمد بن موسى الخورازمي.


يعتبر علم المثلثات Trigonometry علماً عربياً ، فرياضيو العرب فضلوا علم المثلثات عن علم الفلك كأنهما علمين متداخلين ، ونظموه تنظيماً فيه لكثير من الدقة ، وقد كان اليونان يستعملون وتر CORDE ضعف القوسي قياس الزوايا ، فاستعاض رياضيو العرب عن الوتر بالجيب SINUS فأنت هذه الاستعاضة إلى تسهيل كثير من الاعمال الرياضية.

تعتبر المعادلات التفاضلية خير وسيلة لوصف معظم المـسائل الهندسـية والرياضـية والعلمية على حد سواء، إذ يتضح ذلك جليا في وصف عمليات انتقال الحرارة، جريان الموائـع، الحركة الموجية، الدوائر الإلكترونية فضلاً عن استخدامها في مسائل الهياكل الإنشائية والوصف الرياضي للتفاعلات الكيميائية.
ففي في الرياضيات, يطلق اسم المعادلات التفاضلية على المعادلات التي تحوي مشتقات و تفاضلات لبعض الدوال الرياضية و تظهر فيها بشكل متغيرات المعادلة . و يكون الهدف من حل هذه المعادلات هو إيجاد هذه الدوال الرياضية التي تحقق مشتقات هذه المعادلات.