Welcome! here you can find all about my academic activities. You can follow this link to have an overview of my research.You can email me if you want to collaborate or invite me for discussion (or deliver lecture) in Mathematics. A fresher Masters student can also contact me who has recently qualified CSIR/UGC test and wishes to pursue research with me in Mathematics. Currently I am working in the following broad areas: Hydrodynamics (fluid mechanics), Number Theory, and Real Analysis

Jitender Singh
Associate Professor
Guru Nanak Dev University, Amritsar
Amritsar-143005, Punjab, India
Email(s): sonumaths@gmail.com
sonumaths@outlook.com
jitender.math@gndu.ac.in
My MR Erdos Number is 4

#### Recent Research in Mathematics

1. K. E. Aslani, U. S. Mahabaleshwar, Jitender Singh, I. Sarris, Combined Effect of Radiation and InclinedMHD Flow of a Micropolar Fluid Over a Porous Stretching/Shrinking Sheet with Mass Transpiration, International Journal of Applied and Computational Mathematics, 7:3 (2021) Article No. 60, pp1-21
2. Jitender Singh and S. Kumar, A new class of irreducible polynomials, Communications in Algebra  49: 6 (2021),  2722-2727.
3. Jitender Singh and T.D. Narang, Remarks on balls in metric spaces, The Journal of Analysis (Jan 26, 2021), pp11 https://doi.org/10.1007/s41478-020-00297-z.
4. G. Aggarwal, Jitender Singh, Division algorithm and Kronecker's approximation Theorem, The Journal of Analysis 29:1 (2021), 207--216. (DOI)
5. Jitender Singh and T. D. Narang. Convex linear metric space are normableThe Journal of Analysis 28:3 (2020), 705--709.

#### Popular Article(s)

1. Jitender Singh, S. Kumar, A generalization  of Bevelacqua's irreducibility criterion, The American Mathematical Monthly  127:5 (2020), 456--459.
2. Jitender Singh. A Short Proof that Lebesgue Outer Measure of an Interval is Its Length. The American Mathematical Monthly, 125:6 (2018), pp553. Click here for an updated version available on arXiv.org.
3. Jitender Singh. A Noninductive Proof of de Moivre's Formula. The American Mathematical Monthly,125:1 (2018), pp80.
4. Jitender Singh.Another proof of the binomial theorem, The American Mathematical Monthly, 124 (2017), pp658.

### Study material for Students

Never Give up

My Solutions to Monthly Problems: 11159-6011179, 119661199211993, 12016, 12022, 12221

We are what we repeatedly do, excellence then is not an act but, a habit--Aristotle

#### Talks

1. An invited talk (online) titled An axiomatic approach to circular functions in a National Webinar on New Trends in Mathematical Modelling at PG Department of Mathematics, Swami Swatantranand Memorial College, Dinanagar, December 05, 2020.
2. An invited talk (online) titled Mathematics is a Game for Participants as a guest speaker at PG Department of Mathematics, Guru Nanak Dev University College, Narot Jaimal Singh, Pathankot, November 11, 2020.
3. Two invited talks (online) in the Refresher Course in Mathematics/Statistics at HRDC B.P.S. Women University Khanpur Kalan, Haryana on October 24, 2020: (a) On non-geometric notions of sine and cosine functions (b) Some smart Calculus proofs
4. A series of five invited talks (online) in a two week workshop on Scientific Computing using MATLAB and PYTHON(SCMP2020) organized by Department of Mathematics, J. C. Bose University of Science and Technology, YMCA, Faridabad during September 7-18, 2020. The lectures are available on YouTube. Here are the links: L1 L2 L3 L4 L5
5. An invited talk (online) titled Some Fresh Calculus Proofs in the one day National E-Seminar in Mathematical Sciences held at Government Tulsi College Anuppur, MP on August 05, 2020.
6. An invited talk (online) titled From Calculus to Cohomology in the international webinar on Recent trends in Mathematical Sciences organized by HMV Jalandhar on July 28, 2020.
7. An invited guest lecture (online) on The beauty of Calculus in a webinar organized by S L Bawa DAV College Batala, Punjab on July, 09, 2020.
8. Delivered four invited talks in Faculty Development Program of HRDC PU on Mathematical Computational Skills: A Practical Approach held at Department of Mathematics, Panjab University Chandigarh during Jan 9-11,2020.
9. An invited talk on Numerical solutions of Two-Point  BVPs using MATLABTEW on Computational Methods for Solving Differential Equations, held at IKGPTU in collaboration withTIFR NCM and IIT Bombay, Dec. 28, 2019
10. An invited talk on Numerical solutions of nonlinear algebraic equations and IVPs using MATLAB, TEW on Computational Methods  for Solving Differential Equations, held at IKGPTU in collaboration withTIFR NCM and IIT Bombay, Dec. 28, 2019.
11. An invited talk on Basics  of MATLAB Programming, TEW on Computational Methods for Solving Differential Equations, held at IKGPTU in collaboration withTIFR NCM and IIT Bombay, Dec. 27, 2019
12. An invited talk on Shooting Method for Two-Point Boundary Value Problems, TEW Computational Methods for Solving Differential Equations, held at IKGPTU in collaboration withTIFR NCM and IIT Bombay, Dec. 27, 2019.
13. An invited talk on A Taste of Calculus, Refresher Course in Mathematics, HRDC, Guru Nanak Dev University Amritsar, Nov. 13, 2019.
14. An invited talk on The Topology of Real Line, Refresher Course in Mathematics, HRDC, Guru Nanak Dev University Amritsar, Nov. 12, 2019.
15. An invited extension lecturer on Calculus from Newton to Lebesgue at Department of Mathematics, Hans Raj Mahila Mahavidyalya Jalandhar, October 5, 2019.
16. A series of four invited talks in Lecture Series: Partial Differential Equations and Applications, Thapar Institute of Engineering and Technology, Patiala, March 29-30, 2019. (Lecture 1)
17. An invited talk on An Introduction to Energy Method and Nonlinear ConvectionSchool on Nonlinear Dynamics, Department of Physics, Guru Nanak Dev University, Dec. 6, 2018.
18. An Invited talk on Golden Ratio and Fibonacci Numbers in Nature, Human Resource Development Centre, Guru Nanak Dev University. Nov. 21, 2018.
19. A Guest Lecture on An introduction to Fourier Analysis. Chitkara University, HP, March 24, 2017
20. A Guest Lecture on Calculus, Pt. Mohan Lal S. D. College for Women, Gurdaspur, March 31, 2015: Calculus
21. A Presentation on Fibonacci numbers in Nature, Academic Staff College, GNDU ASR, December 7, 2013.
22. Contributed Talk on Defining power sums of $n$ and $\varphi(n)$ integers, The Legacy of Ramanujan, University of Delhi, Dec. 18, 2012:
23. A Presentation on Academic Staff College, GNDU ASR, May 14, 2012
24. A talk on Indian Statistical Institute Kolkata, Dec. 5, 2011
25. A contributed talk on Power Sums of $n$ and $\varphi(n)$ Integers, International Congress of Mathematicians (ICM 2010), Hyderabad Convention Center, 2010.
26. A talk on Suspended Sediments on onset of alternate river bars, School of Engineering, University of Warwick, July 2010.
27. A series of 4 lectures on Introduction to random number generation, Academic Staff College, Guru Nanak Dev University Amritsar, 2009.