Noor Muhammad
Encyclopedia
Dr. Prof. Noor Muhammad (April 15, 1951 - April 12, 2004), was a notable Pakistan
i mathematician
and mathematics writer who made an original contribution to the fields of C*-algebra, Symmetric topology and pure mathematics
. He was the chairman of Department of Mathematics, in which he assumed this position in 2000 till 2002. He was a distinguished student of Russian mathematician dr. Grigory Barenblatt
, and made significant efforts to the fields of topological algebras.
He was the co-author of Symmetric Topological Algebras and Applications which was published at Abdus Salam International Centre for Theoretical Physics, and since then, dr. Noor Muhammad has produced 20 M.Phil. students at the Quaid-i-Azam University since his PhD
in 1983. His death is a loss to the mathematical community in Pakistan
.
, Haripur District
where he completed his high school
from there. In 1971, Muhammad gained his Bachelor of Science
in Mathematics
from University of Peshawar
, followed by his Master of Science
in Mathematics in 1973 from Quaid-i-Azam University
. With an scholarship awarded by the Quaid-i-Azam University
, Muhammad traveled to Soviet Union
in 1979, and completed his thesis in 1983 under the direction of dr. Grigory Barenblatt
from Moscow State University
. His doctoral thesis covered the Functional Analysis
, namely C*-algebras. He taught mathematics at the Moscow State University till 1984 and subsequently moved to Trieste
, Italy
the same year.
on the request of prominent theoretical physics
and nobel laureate in Physics Dr. Prof. Abdus Salam
. As a post-doctoral fellow, he also worked on P-Commutative Topological Algebras
. From 1990 till 1995, he became an associate professor of mathematician at ICTP. Noor Mohammad, at ICTP, published more than 30 articles in refereed international journals during the course of his career.
where he joined Quaid-i-Azam University
and became a chairperson of the Department of Mathematics. he produced a number of research papers on elliptic pseudo-differential operators over C*-Algebras for compact manifold. He had also published papers on topics in approximation theory, derivation on topological algebras and multipliers of topological algebra.
In mathematics, the Functional Analysis
depends heavily upon topology
, especially the branch of Functional Analysis that Dr. Noor Muhammad specialized in. His lectures notes on a first course on functional analysis, a copy of which is still available, are topological based. He was a close associate and college of dr. Qaiser Mushtaq
, and had cordial relationship with him. In 2000, Dr. Noor Muhammad began to write college-level textbook
on topology
, however, after his death, the book is remained incompleted.
.
After about a semester’s respite, Dr Noor Muhammad restarted lecturing in the department. He regularly attended the meetings. According to the Dr. Qaisar Mustaq's memoir, Dr. Noor Muhammad was very tense in the Ph.D Committee Meeting that he attended one day before he died. Dr Noor Muhammad could not take the pressure any more and asked for leave half way through. Next morning, he was pronounced dead. He did not live to marry off his daughter, enjoy driving in his newly bought Toyota car, and publish his book on topology. His death has deprived the Mathematics Department, Quaid-i-Azam University, of its sole Functional Analyst.
Pakistan
Pakistan , officially the Islamic Republic of Pakistan is a sovereign state in South Asia. It has a coastline along the Arabian Sea and the Gulf of Oman in the south and is bordered by Afghanistan and Iran in the west, India in the east and China in the far northeast. In the north, Tajikistan...
i mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and mathematics writer who made an original contribution to the fields of C*-algebra, Symmetric topology and pure mathematics
Pure mathematics
Broadly speaking, pure mathematics is mathematics which studies entirely abstract concepts. From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as speculative mathematics, and at variance with the trend towards meeting the needs of...
. He was the chairman of Department of Mathematics, in which he assumed this position in 2000 till 2002. He was a distinguished student of Russian mathematician dr. Grigory Barenblatt
Grigory Barenblatt
Grigory Isaakovich Barenblatt is a Russian mathematician. He graduated in 1950 from Moscow State University, Department of Mechanics and Mathematics. He received his Ph.D. in 1953 from Moscow State University under the supervision of A. N. Kolmogorov. He also received a D.Sc. from Moscow State...
, and made significant efforts to the fields of topological algebras.
He was the co-author of Symmetric Topological Algebras and Applications which was published at Abdus Salam International Centre for Theoretical Physics, and since then, dr. Noor Muhammad has produced 20 M.Phil. students at the Quaid-i-Azam University since his PhD
PHD
PHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...
in 1983. His death is a loss to the mathematical community in Pakistan
Pakistan
Pakistan , officially the Islamic Republic of Pakistan is a sovereign state in South Asia. It has a coastline along the Arabian Sea and the Gulf of Oman in the south and is bordered by Afghanistan and Iran in the west, India in the east and China in the far northeast. In the north, Tajikistan...
.
Life and Education
Muhammad was born in AbbottabadAbbottabad
Abbottabad is a city located in the Hazara region of the Khyber Pakhtunkhwa province, in Pakistan. The city is situated in the Orash Valley, northeast of the capital Islamabad and east of Peshawar at an altitude of and is the capital of the Abbottabad District...
, Haripur District
Haripur District
Haripur is a district in the Hazara region of Khyber-Pukhtunkhwa, province of Pakistan with an altitude of around above sea level. Haripur District has the highest Human Development Index of all the districts in the Hazara....
where he completed his high school
High school
High school is a term used in parts of the English speaking world to describe institutions which provide all or part of secondary education. The term is often incorporated into the name of such institutions....
from there. In 1971, Muhammad gained his Bachelor of Science
Bachelor of Science
A Bachelor of Science is an undergraduate academic degree awarded for completed courses that generally last three to five years .-Australia:In Australia, the BSc is a 3 year degree, offered from 1st year on...
in Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
from University of Peshawar
University of Peshawar
The University of Peshawar is a public sector university in the city of Peshawar, Pakistan. The university was established in October 1950 by Mr...
, followed by his Master of Science
Master of Science
A Master of Science is a postgraduate academic master's degree awarded by universities in many countries. The degree is typically studied for in the sciences including the social sciences.-Brazil, Argentina and Uruguay:...
in Mathematics in 1973 from Quaid-i-Azam University
Quaid-i-Azam University
The Quaid-i-Azam University is a public, research university in Islamabad Capital Territory of Pakistan. It was initially founded as the "University of Islamabad" in July 1967...
. With an scholarship awarded by the Quaid-i-Azam University
Quaid-i-Azam University
The Quaid-i-Azam University is a public, research university in Islamabad Capital Territory of Pakistan. It was initially founded as the "University of Islamabad" in July 1967...
, Muhammad traveled to Soviet Union
Soviet Union
The Soviet Union , officially the Union of Soviet Socialist Republics , was a constitutionally socialist state that existed in Eurasia between 1922 and 1991....
in 1979, and completed his thesis in 1983 under the direction of dr. Grigory Barenblatt
Grigory Barenblatt
Grigory Isaakovich Barenblatt is a Russian mathematician. He graduated in 1950 from Moscow State University, Department of Mechanics and Mathematics. He received his Ph.D. in 1953 from Moscow State University under the supervision of A. N. Kolmogorov. He also received a D.Sc. from Moscow State...
from Moscow State University
Moscow State University
Lomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...
. His doctoral thesis covered the Functional Analysis
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
, namely C*-algebras. He taught mathematics at the Moscow State University till 1984 and subsequently moved to Trieste
Trieste
Trieste is a city and seaport in northeastern Italy. It is situated towards the end of a narrow strip of land lying between the Adriatic Sea and Italy's border with Slovenia, which lies almost immediately south and east of the city...
, Italy
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...
the same year.
International Centre for Theoretical Physics
Noor Muhammad joined International Centre for Theoretical PhysicsInternational Centre for Theoretical Physics
The Abdus Salam International Centre for Theoretical Physics was founded in 1964 by Pakistani scientist and Nobel Laureate Abdus Salam after consulting with Munir Ahmad Khan. It operates under a tripartite agreement among the Italian Government, UNESCO, and International Atomic Energy Agency...
on the request of prominent theoretical physics
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
and nobel laureate in Physics Dr. Prof. Abdus Salam
Abdus Salam
Mohammad Abdus Salam, NI, SPk Mohammad Abdus Salam, NI, SPk Mohammad Abdus Salam, NI, SPk (Urdu: محمد عبد السلام, pronounced , (January 29, 1926– November 21, 1996) was a Pakistani theoretical physicist and Nobel laureate in Physics for his work on the electroweak unification of the...
. As a post-doctoral fellow, he also worked on P-Commutative Topological Algebras
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...
. From 1990 till 1995, he became an associate professor of mathematician at ICTP. Noor Mohammad, at ICTP, published more than 30 articles in refereed international journals during the course of his career.
Academic Career in Mathematics
He reluctantly returned to PakistanPakistan
Pakistan , officially the Islamic Republic of Pakistan is a sovereign state in South Asia. It has a coastline along the Arabian Sea and the Gulf of Oman in the south and is bordered by Afghanistan and Iran in the west, India in the east and China in the far northeast. In the north, Tajikistan...
where he joined Quaid-i-Azam University
Quaid-i-Azam University
The Quaid-i-Azam University is a public, research university in Islamabad Capital Territory of Pakistan. It was initially founded as the "University of Islamabad" in July 1967...
and became a chairperson of the Department of Mathematics. he produced a number of research papers on elliptic pseudo-differential operators over C*-Algebras for compact manifold. He had also published papers on topics in approximation theory, derivation on topological algebras and multipliers of topological algebra.
In mathematics, the Functional Analysis
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
depends heavily upon topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, especially the branch of Functional Analysis that Dr. Noor Muhammad specialized in. His lectures notes on a first course on functional analysis, a copy of which is still available, are topological based. He was a close associate and college of dr. Qaiser Mushtaq
Qaiser Mushtaq
Qaiser Mushtaq , , is a prominent Pakistani mathematician and a renowned academic who has made numerous contribution in the field of Group theory and Semigroup. He is a Professor of Mathematics, and Dean faculty of Natural sciences at the Quaid-i-Azam University of Islamabad. Dr...
, and had cordial relationship with him. In 2000, Dr. Noor Muhammad began to write college-level textbook
Textbook
A textbook or coursebook is a manual of instruction in any branch of study. Textbooks are produced according to the demands of educational institutions...
on topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, however, after his death, the book is remained incompleted.
Death
In 2003, Dr. Noor Muhammad, was diagnosed with a heart ailment. Soon after, he had heart surgery, which he barely survived. His friends and colleague in the Department of Mathematics advised him to take at least a semester off. Dr. Qaiser Mushtaq, who became a new head of the department, managed to arrange a substitute professor Dr. Akbar Azam, who was then teaching at the Government College UniversityGovernment College University
Government College University, Lahore is a co-educational public university located on The Mall in Lahore, Pakistan...
.
After about a semester’s respite, Dr Noor Muhammad restarted lecturing in the department. He regularly attended the meetings. According to the Dr. Qaisar Mustaq's memoir, Dr. Noor Muhammad was very tense in the Ph.D Committee Meeting that he attended one day before he died. Dr Noor Muhammad could not take the pressure any more and asked for leave half way through. Next morning, he was pronounced dead. He did not live to marry off his daughter, enjoy driving in his newly bought Toyota car, and publish his book on topology. His death has deprived the Mathematics Department, Quaid-i-Azam University, of its sole Functional Analyst.
Research Papers
- An explicit projection method for a system of nonlinear variational inequalities with different (γ,r)-cocoercive mappings, by Noor Muhammad.
- Double multipliers on topological algebras, L. A. Khan, N. Mohammad, and A. B. Thaheem, International Journal of Mathematics and Mathematical Sciences. Volume 22 (1999), Issue 3, Pages 629-636.
- A note on one-parameter groups of automorphisms, A. B. Thaheem and Noor Mohammad, International Journal of Mathematics and Mathematical Sciences
- Best approximations in topological vector spaces by Noor Mohammad, A. B. Thaheem - 1987