the Home Page of
Dr. M. T. Nair
(Mathematical Reviews - Papers and Books:
and zbMATH )
- Advanced Mathematical Analysis
& Differential Equations
MA2010: Complex Variables and Transform Techniques
- MA1010: Calculus-I: Assignments & Notes
- MA1020: Calculus-II:
Assignments & Notes
- MA2010: Complex Variables and Transform Techniques
- MA2030: Linear Algebra and Numerical Analysis:
[ Assignments & Notes ]
- MA2020: Differential Equations: Assignments & Notes
Notes (based on some series of lectures):
Advanced Analysis: A Crash Course
Measure and Integration: A Crash Course
Some Topics in Advanced Functional Analysis: A Crash Course
On Controllability of Linear Systems
Some questions and anwwers Q-A
General articles of interest by P.R. Halmos:
How to Talk Mathematics
How to Write Mathematics
- Took Charge as Head of the Department of Mathematics, IIT Madras, on December 5, 2014.
- New BOOK (2014):
Calculus of One Variable ,
Ane Books Pvt. Ltd. (For typos, see )
- Fourth Print (2014) of the Book (with corrections incorporated):
Functional Analysis: A First Course ,
PHI-Learning (Formerly: Prentice-Hall of India),
New Delhi, 2002.
(Review: zbMATH )
- Member, Editorial Boaard :
Journal of Analysis and Number Theory
(Natural Sciences Publishers, USA).
- A new paper: Approximation numbers for
relatively bounded operators
(With K.P. Deepesh and S.H. Kulkarni), Functional Analysis, Approximation and Computation, 5:2 (2013), 35-42.
- Member, International Scientific Committee for the Symposium on
Inverse Problems, Design and Optimization (IPDO-2013), Albi (France), June 26-28, 2013.
Generalized inverses and approximation numbers (With K.P. Deepesh and S.H. Kulkarni), Pages 143-158,
In: Combinatorial Matrix Theory and Generalized Inverses of Matrices
Springer, 2013, Editors: R.B. Bapat, S.J. Kirkland, M.M. Prasad and S. Putenen.
Chapter 3: Regularization of Fredholm integral equations of the first
kind using Nystrom approximation, Pages 65-82,
In: Computeational Methods for Applied Inverse Problems,
De Gruyter, 2012, Editors: Y. Wang, A.G. Yagola and C. Yang.
Functional Analysis , Aughust 2012.
- Associate Editor:
Inverse Problems in Science and Engineering (IPSE)
- Member, Editorial Boaard :
Journal of Matheamtical Analysis (ISSN 2217-3412)
- New BOOK (2009):
Linear Operator Equations: Approximation and Regulrization ,
World Scientific, 2009
- An iterative method considered by me in the paper:
An iterative procedure for solving Riccati equation
A_2 R - R A_1 = A_3 + R A_4 R (pdf),
Studia Mathematica, Vol. 147 (2001) 15-26,
has been named as "M.T.Nair Method" by N.B.Uskova in a paper
titled "On M.T.Nair Method for Linear Operator
Invariant Subspace Construction" , presented to the 12th International
Conference of the EWM Association.
Full paper (in Russian) appeared in the
Journal ``Vestnik" Vol. 1, 2005 (see the
paper by Uskova in Mathematics Section).
I am from a small village called Udma (Udayamangalam)
in North Malabar region ( Kasaragod
District) of Kerala state. I had my
school education in Government High School Udma, and college education
(Pre-Degree and B.Sc.) at Goverment College Kasaragod, about 15 kilometers from
my village. My interests, other than Mathematics, include
philosophy and spirituality.
I lost my father (Chandu Nair) when I was barely 13 years
old. My mother (Meloth Parvathi Amma) is now 90 years old and living
in the village. I have four sisters (Padmavathi, Parvathi, Karthiayani,
Lakshmi) and a brother (Chandra Sekharan). Sisters are all
married and settled in the nearby villages, and brother and his family are
living in Dubai.
I live in the IIT Campus along with my wife Sunita,
and daughters Priya and Sneha. My wife is a Professor of Chemistry at
SSN College of Engineering (Kalavakkam) about
35 kilometers from IIT Campus. Priya is doing her Ph.D in Bio-Medical Engineering
at Arizona State University
USA and Sneha
is doing BE in Bio-Medical Engineering at SSN College of Engineering.
- B.Sc. (1978): Government College
Kasaragod (University of Calicut)
[ First Class, & College Topper]
- M.Sc. (1980): Department of
Mathematics, University of Calicut
[ First Class & First Rank].
- Ph.D.: Indian Institute of Technology Bombay.
Thesis Submission: June 1984
Thesis Defence: January 1986
Title of the Thesis: Approximation and Localization of Eigenlements
B.V.Limaye (IIT Bombay)
- P.D.F. (Post Doctoral
(November 1984 - December 1985),
Institute IMAG, University of Grenoble
Broad Area: Functional Analysis
and Operator Theory
- Spectral Approximation.