Head, Mathematics Department 2008-2020
Government of Maharashtra's
The Institute of science, Mumbai -32
(Exclusively Postgraduate Institute Founded 1920 )
Academic Qualifications :
Ph, D, ( Mathematics), M.Tech ( Computer science), M.Phil M.Sc ( Mathematics), NET (CSIR -UGC), B.Ed
Member Board of studies in Comp sc.
Mumbai University2012-15
Mathematics Genealogy Project Id 189731
Doctoral Thesis Advisors :
Dr. Patrick Muldowney, Dr. Mahindra. G Nadkarni, Dr. R. M. Lahurikar
Thesis sets up original abstract framework for Henstock-Kurzweil integral & pans over 300 pages
M. Phil Thesis Matroid theory Advsior : Dr. Sharad Sane
Professor Chennai Institute of Mathematical sciences
Recognized Research Guide for Ph.D degree in Mathematics, University of Mumbai.
Mobile Number : (91) 9222188707
Mail: profanilp@gmail.com ; anil@iscm.ac.in
Web-Page https://sites.google.com/site/anilpedgaonkar/
Books "A modern integration Theory" , "Matroid Theory"
Click here For Notes on Graduate Mathematics
For Computer programs in C on numerical analysis & object oriented programs https://sites.google.com/site/anilpedgaonkarscomppro
Notable programs fast Fourier transform, Lu factorization for Gauss elimination , Adaptive integration, Bairstows method, Mullers method complex roots, Double integration , Crank Nicholson , Heap sort
The Program for reversing a string by Denis Ritchie is modified and palindrome is detected Semaphore is simulated by multiplication.
The Program Roots of a quadratic eqn has cascading switch operator to simulate Ternary logic
Both these ideas can be patented.
For presentation on Henstock-Kurzweil integral visit https://sites.google.com/site/anilsmathcomputernotes/
Modern Integration theory with Applications book authored by me.
I enjoy an Excellent rapport with the students.
Students have given above 90% rating in the official Teacher Feedback
collected for NAAC with 10 marks out of 10 on almost every parameter in Sydenham in 2002-04 and In the Institute of science in year 2007-08. very good performance appraisals by Director and Principal
Research Interests : Integration theory , Numerical Analysis, logic programming, Analysis, Discrete Mathematics, Expert systems, Railway transportation ,and Metropolitan transportation
Nationality Indian Religion Hindu Date of Birth March 20,1960
Research Work
The theory of Henstock-kurzweil integration is developed in abstract set up designed by me I have developed
Complete theory including Fubini Tonneli theorems,various convergence theorems, integral definition of differential form and generalized locally integrable solutions of boundary value problems and computer programs
A Presentation on "Henstock-kurzweil Integral in abstract set up" is made a ICM 2010 International Congress of Mathematicians ICM 2010
Textbook Programming In C & database Computer Systems & Applications .
Research Papers published
Fundamental Theorem of Calculus for Henstock kurzweil Integral Vol 14 issue 1 June 2013 Bulletin of Marathwada Mathematical society (ISSN 0976-6049) pp 71-80
Quasiindependence Spaces Vol 12 issue 1 June 2011 - Bulletin of Marathwada Mathematical society (ISSN 0976-6049) pp 91-102.
3 AbstractGeneralized Riemann-Lebesgue Lemma Anil Pedgaonkar Date 2015/9/5, pp 71-72 ISBN 978-81-9250005-4- ( Paper Appreciated by Professor Richard Beals). It is a convergence theorem in abstract measure space
4 Proceedings of UGC sponsored conference on Mathematics , Maharhi dayanand college,Parel, Mumbai.
5. Integrable manifolds and Fundamental theorem of Calculus, Proceedingof National Conference on Recent Trends in Mathematics Vol.1,pp.67-78., ISBN:978-81-932712-0-9. ( Scopus indexed)
6. Simplified proof of monotone convergence theorem for Henstock Kurzweil Integral Anil Pedgaonkar 2015/7 SBN 978 - 81 - 928118 - 9 – 5 ℙ 12-15 published by Guwahati University proceedings of international conference ICFM 2015 International conference on Frontiers in Mathematics 2015.
7.Daniell Integration for Banach space Valued Vector Maps paper id 5-5-23112015 Publication date 20: Anil Pedgaonkar International journal of latest Research in Science and Technology,, ISSN 2278-5299 Vol 4, Issue 6, Pages 21-23, MNK Publications
8. Refutation principle & logic programming pp 120-123 CSCIT 2015 ISBN 978-81-923487-1-1
9. Simulation of Railway schedule pp - 120-123 CSCIT 2015 ISBN 978-81-923487-1-1
10. Programming Languages Evolution pp149-151CSCIT 2015 ISBN 978-81-923487-1-1
11. Text book On Programming In C & database Computer Systems & Applications /B.sc Chetana Publications, Mumbai 2002
12. Mobile Based Information System For Bus Transport - Urban planning and environment - Ed Laxmi Vyas - Proceedings of International conference held at Elphinstone college, Jan 30-31-2007 - Macmillan co -ISBN-10:230-63066-9, ISBN 13:978-0230-63066-6
13. Surface Railway Transport. for Metropolitan transport Urban planning and environment - Ed Laxmi Vyas - Proceedings of International conference held at Elphinstone college, Jan 30-31-2007 - Macmillan co -ISBN-10:230-63066-9, ISBN 13:978-0230-6
Skill set : Able to teach a variety of courses , Topology, complex analysis, Integration theory, Numerical Analysis,
differential geometry, Analysis Integral transforms, algebra, computer science, data structures, programming with C, are
some of the courses taught at graduate level in Masters program.
SPECIAL MERIT : NET in Mathematical sciences is cleared in first attempt. NET is a competitive
examination conducted by the Council of Scientific & Industrial Research and UGC to test academic
competence like the Ph.D qualifying examination in U.S.A. The result is 2%.
Novelty and Innovation
A new course module Cultural Mathematics is developed for M.B. andfor liberal arts ,commerce students which enable sound development of executives.
Projects and Achievements on Job
Roots Of A Quadratic With Special Use Of ‘Switch and ?’ to Simulate Ternary Logic &
Program On Reversing A String With Use Of Multiplication By Zero to simulate semaphore
Original treatment of Galois theory avoiding the use of Isomorphism Extension
Original treatment of Cauchy's theorem and winding Number.
Computerization Of Results &Timetable compactification Elphinstone College.
Software to generate TDS from 16 with real time updation
Extracurricular And Co-Curricular Activities
I was Prof-In Charge Of The Magazine Committee Of Sydenham College And Wrote Several Articles For Magazine. The Magazine Won “Chandagadkar Trophy” For The Best Magazine In The University.
In Chrage of Sydenham Computer Centre 1997 -2004
A newspaper article on "Udyan express, Diesel traction harmful to the environment " in the daily Navbharat times, Mumbai in 2004 is authored.
Presentation of Papers in International and National Conference
1 1International conference 2019 New Delhi , Southeast Asian university, Dominated Converence theorem for Henstock-kurzweil Integral
2.International conference 2016 New Delhi , Shahid bhagat Singh college
3. International conference 2015, Jan Karad , Maharashtra, Sant gadge Maharaj college paper daniell Integration for Banach space valued vector maps
4. International conference 2015 March, Guawahati university, India Simplified proof for MCT for Henstock-kurzweil Integral
I5. nternational Congress of Mathematicians , 2010, Hyderabd, August 2010 Presented Paper Entitled "Henstock integral, an abstrct approach
5.International Conference Powai , IIT, Mumbai, Dec 2008
Presented a paper on vortex sheet method
6. Workshop on algorithmic trends in Mathematics Elphinstone college, 2013, oct. I was the resource person to conduct the workshop
7.Workshop in the University Department of Computer Science, Mumbai University Jan 2009, University Department of computer science, Mumbai university Invited speaker as resource person Gave Invited Talk On Logic Programming
8.National Conference On Integration & Measure Sponsored By Pune University Feb 2008, Ahmednagar
Invited speaker Invited talk on Henstock integral
9. Indian Mathematical Society, National Conference Dec 2007 University Of Pune Presented a Paper
10. Refresher Course in Linear Algebra March 13 2010Academic Staff College, Mumbai University Gave a Lecture on LU factorization as a Resource person
Details of Experience
1The Institute Of Science, Mumbai(Postgraduate Institute) Associate Professor 2000-2002 and 2004 Onwards
Head, Postgraduate Department of Mathematics
courses taught Analysis, AlgebraII Complex analysis, Numerical analysis, Topology, Analysis Differential Geom., Probability Theory, Discrete Maths, Functional analysis , differential forms
2. Sydenham College, Mumbai, 400020 Lecturer 1997-2000 2002-2004
Courses Taught C programming Statistics
3 Sydenham Institute of Management studies Visiting faculty 1998- 2000, 2006-2007 Mathematics, Computing
4. Watumul Engineerin College, Mumbai Visiting Faculty 1994-1996, 1998-2000 Engineering mathematics
5. Elphinstone college Full time Faculty 1984 -1997 Also Visiting faculty for algorithms data structures 2007-2008 B.Sc IT course
Dr. Anil Pedgaonkar
