Professor Dr. V. G. Tikekar

VGTikekar@gmail.com

Education

• Before 1952. KOVID (from Rashtrabhasha Prachar Samiti, Wardha)

• 1952 S.S.C. from New English School Satara (of Deccan Education Society)

• 1956 B.Sc. (Physics, Mathematics, Statistics) from Fergusson College Pune

• 1957 B.Sc. (Hons) (Statistics) from Post-graduate Dept. of Mathematics and Statistics, University of Pune

• 1958 M.Sc. (Statistics) from Post-graduate Dept. of Mathematics and Statistics, University of Pune

• 1970 Ph.D. (Applied Math) from Indian Institute of Science, Bangalore. Research Supervisor: Prof. P. L. Bhatnagar

Service

• Demonstrator in Physics, Deccan Education Society's Fergusson College, Pune for one term ( during 1957-58)

• Lecturer in Statistics, Deccan Education Society's Willington College Sangli (June 1958 to December 1960)

• Lecturer (1961 to 1971), Assistant Professor (1971 to 1981), Associate Professor (1981 to 1988), and Professor (1988 to 1995) at Indian Institute of Science, Bangalore (Department of Applied Mathematics, renamed as Department of Mathematics in 1990 ) Chairman of the Department (1990 to 1994 )

Honors and Awards

• As a first year college student, received a prize in an Essay Competition conducted by the Chemistry Students' Association, Fergusson College, Pune,(Feb. 1953)

• Commonwealth Academic Staff Fellow at the Computing Lab., The University of Newcastle Upon Tyne (U.K.) for the academic year 1975-76

• President of the Annual Conference of the Maharashtra Mathematics Teachers Association, 1982, held at Amravati, Maharashtra

• Indo-American Fellow at the Department of Industrial and Operations Engineering, The University of Michigan at Ann Arbor (U.S.A.) for the academic year 1987-88

• Recipient of Jaya Jayant Award for Teaching Excellence 1989 at Indian Institute of Science (in the very first year of the institution of the award)

• Senior Associate of the National Institute of Advanced Studies, Bangalore for 1992-95

• Member of Textbooks-Writing teams of the NCERT and the Government of Karnataka directorate of textbooks in 1980's

• Govt. of Bombay scholar during entire college and university education

• Honored as a Distinguished Guru in recognition of his contribution to teaching and frontier research activities at IISc by 'Indian Institution of Science Alumni Association' on Oct 15, 2016

• Was Honored in 2020, by the following poem composed on him by Prof P V Arunachalam:

In classroom teaching,

In Research,

In delivering lectures

Simplicity, Clarity, and Pleasantness with beauty

Rains when Tikekar does the job.

He is my friend and likeminded.

(Prof P V Arunachalam -- retired professor of mathematics and retired principal of university colleges at Venkateswara University, India, Fulbright scholar at the Univ. of Wisconsin, Madison, USA , former President of Indian Mathematical Society, Fellow of National Academy of Sciences, India, founder of Dravidian University at Kuppam, Andhra in India, --- has composed poems on more than 550 mathematicians coming from all over and ranging from ancient times to present day. The poems are in his mother-tongue Telugu, and he himself has translated some of his poems in English also.)

Appreciation from Students and Others

Some quotes from writings to and about Dr. Tikekar by some of his teachers, colleagues, and ex-students

• One professor writes to Dr. Tikekar : "I did not see any person except you who can give mathematical knowledge to the audience and at the same time make the lecture interesting and appealing."

• Another professor writes to Dr. Tikekar : " I remember my teachers very fondly. That spurred our devotion to "dnyaan" for we had the living examples. Even now such teachers are there, yourself included."

• Still another professor writes to Dr Tikekar : " To my humble opinion, you are one of the top-class Indian Mathematicians."

• One professor who taught Dr. Tikekar in Ferguson College, Pune, presented him, after many years, a book on which she wrote :-" Keeping firmly in mind the fact that KNOWLEDGE IS THE REAL WEALTH, you lived and are still living, throughout your life, like a real perfect teacher. I, your teacher of earlier years, am happy and proud of you, and present this book to you with my blessings. March forward." (3 Jan 1985)

• One ex-student writes about Dr. Tikekar as " He was a tremendous inspiration for many of us interested in Mathematics."

• After reading his article titled ' Spoof Numbers and Spoof Solutions - Part1' in Nov 2021 issue of 'AtRiA', a student from USA wrote on 1st July 2022 to Dr Tikekar : " My professor is currently teaching me number theory and we are running into a few problems regarding finding proper solutions. After finding your article online, it has helped a great deal in understanding number theory, so we tried to find part 2 of the article........"

• One student wrote, on 18 July 2022 to Dr Tikekar : " ........ I am currently going through a book, viz., " Two Mathematical Offerings "published by AMTI. In there is reproduced your aforementioned lecture. I absolutely loved that lecture and it boosted me with new horizons and a new way to look at mathematics and student community is always indebted to you for such great lectures......... please tell like from where can we attend and get information on your upcoming lectures"

• Some ex-students have written to Dr. Tikekar as :

  • I always cherish your teaching skills which I experienced under you (even under a large class).

  • For us students, you were a legendary teacher.

  • I consider you as the role model for a teacher.

  • You were one of the great teachers who made concepts very clear to students.

Memorial or Jubilee Lectures Delivered

• Professor P.L. Bhatnagar Memorial Lecture (1979) at AMTI (Association of Mathematics Teachers Of India) Conference.

• B.V. Singbal Memorial Lecture (1992)

• Professor J.N. Mitra Memorial Lecture (1995)

• Third CASSA (Centre for Aeronautical Systems Studies and Analysis) Silver Jubilee Commemoration Lecture (1997)

• Professor A. Narasinga Rao Memorial Lecture (2000)

• Professor A. Ramaswamy Ayyar Memorial Lecture (2002) at IMS (Indian Mathematical Society) Conference

• Prof K M Agashe memorial lecture at Fergusson College at Pune

• Dr G R Shendge Memorial Lecture at the conference of the Marathwada Mathematical Society,held at Beed, 22 Jan 2016

Member or Life-Member or Fellow (Currently or Formerly) of

• Indian Mathematical Society

• Indian Statistical Institute

• Indian Society for History of Mathematics

• Marathwada Mathematical Society

• Association of Mathematics Teachers of India

• Bangalore Science Forum

• Deccan Education Society

• Computer Society of India

• Operational Research Society of India

Publications in the following Periodicals/Journals

• Proceedings of the Cambridge Philosophical Society

• Theoretical Computer Science

• Computers and Operations Research - an International Journal

• International Journal of Mathematics Education in Science & Technology

• Journal of Fluid Mechanics

• Journal of Mathematical Physics

• Journal of Mathematical & Physical Sciences

• Proceedings of the Indian Academy of Sciences

• Indian Journal of Pure & Applied Mathematics

• Indian Journal of Pure & Applied Physics

• Indian Journal of Technology

• Journal of the Indian Institute of Science

• Ganit

• Indian Journal of Environmental Health

• Waste Management & Research

• The Mathematics Student (of the Indian Mathematical Society)

• The Bulletin of the Marathwada Mathematical Society

• Ganit Bharati (of Indian Society for History of Mathematics )

• The Mathematics Teacher (India) (of the Association of Mathematics Teachers of India)

• Junior Mathematician (of the Association of Mathematics Teachers of India)

• Electro-Technology

• Ganit Shikshan (of Maharashtra Ganit Adhyapak Mahamandal) (in Marathi)

• Indian Journal for the Advancement of Mathematics Education and Research

• The Biographical Memoirs of Fellows of the Indian National Science Academy

• Ganit: Chhand Ananad (of Ganit Adhyayan-Adhyapan-Vikasan Sanstha, Nashik) (in Marathi)

• Bona Mathematica

• Resonance (Journal of Science Education) of the Indian Academy of Sciences

• Current Science (of the Indian Academy of Sciences)

• Shaikshnik Sandarbh (Educational Reference) (in Marathi)

• At Right Angles (A publication of Azim Premji University together with Community Mathematics Centre, Rishi Valley)

• Indian Journal of Mathematics Teaching (of the Association for Improvement of Mathematics Teaching, Jagadbandhu Institution, 25, Fern Road, Kolkata - 700019)

• Sutra : International Journal of Mathematical Science Education

• Electro-Technology

• SHAIKSHNIK SANDARBH (i.e., Educational Reference) (in Marathi)

• Akashvani

He was research supervisor (individually or jointly) for nine Ph D students.

Has helped academic as well as selection and assessment activities of universities and other organisations like IITs, (Indian Institutes of Technology), NBHM (National Board for Higher Mathematics), DRDO (Defence Research and Development Organisation), ISRO (Indian Space Research Organisation), UGC (University Grants Commission), UPSC (Union Public Service Commission), NCERT (National Council of Educational Research and Training), CPRI (Central Power Research Institute), PSTI (Power Systems Training Institute), NEERI (National Environmental Engineering Institute), HAL (Hindustan Aeronautics Limited) Staff College, Kendriya Vidyalaya Sanghatan, Navodaya Vidyalaya Organisation, Indian Plywood Industries Research Institute, B.E.L. (Bharat Electronics Limited), Banking Service Recruitment Board, Gandhigram Rural University, Vivekananda Kendra Shiksha Prasar Vibhag, National Law School of Indian University, National Open School, CASSA, NIAS (National Institute of Advanced Studies), Bangalore Science Forum, Scientific Analysis Group (DRDO), ISI (Indian Statistical Institute), Vijnana Parishad of India

Has lectured at many schools, colleges, universities, in-service training programmes for teachers, symposia, conferences, organisations like Scientific Analysis Group (DRDO), HAL Staff College, PSTI, ISRO, CASSA, ISI, ITI (Indian Telephone Industry), BEL, Bangalore Science Forum, NIAS, LRDE (Electronics & Radar Development Establishment), Bhaskaracharya Pratishan, Pune, IITs, Univ. of Newcastle Upon Tyne(U.K.), Univ. of Michigan, Ann Arbor, Univ. of Michigan at Flint, Univ. of Georgia , Athens (USA), Marquette Univ. (USA).

Has participated in many conferences including Bi-national (USA & India) conferences on mathematics education organized by HBCSE (Homi Bhabha Center for Science Education), National Conference on the Development of Mathematics organized by NBHM, and the ones organized by Institute of Mathematics and its applications (UK), ORSA & TIMES (USA)

Hobbies: Dramatics, Rambling in woods and on mountains, Reading

Languages: Can read, write, and speak English, Hindi, and Marathi. Can read and appreciate Sanskrit. Can speak very elementary Kannada.

Publications (Over 160; some of them are listed below)

Books

1. S G Deo, D Y Kasture, H V Kumbhojkar, and V G Tikekar, “Popular Lectures in Undergraduate Mathematics”, Universities Press, 2009, ISBN 978 81 7371 662 1,pages 265+

2. (In Marathi) V G Tikekar, “GANIT MOTI” (i.e., Mathematical Pearls), Ganit Adhyayan-Adhyapan-Vikasan Sanstha, Nasik, Dec 2004, pages 48 (Parts of this book are freely translated in Gujarati and have been published in 6 issues of SUGANITAM, a bimonthly of Gujarat Ganit Mandal, in 2006)

3. (In Marathi) V G Tikekar, “VIBHAGANI VA TICHI BHAVANDE” (i.e., Partition and its Siblings), Wai Taluka Ganit Adhyapak Mandal, Wai, Nov 2005, pages 32

4. (In Marathi) V G Tikekar, "GANITATIL KAYAS - KHARE VA CHUKALELE" (i.e. Conjectures in Mathematics - Correct and Incorrect), Wai Taluka Ganit Adhyapak Mandal, Wai, April 2006, pages 40.

5. (In Marathi) V G Tikekar, “GANITEENCHE KISSE” (i.e., Anecdotes of Mathematicians) Wai Taluka Ganit Adhyapak Mandal, Wai, Dec 2007, pages 40

6. (In Marathi) V G Tikekar, “VIDHAN EK - SIDDHATA ANEK” - Vol 1, (i.e., Propositions with Multiple Proofs), Wai Taluka Ganit Adhyapak Mandal, Wai, Jun 2009, pages 80

7. (In Marathi) V G Tikekar, “VIDHAN EK - SIDDHATA ANEK” - Vol 2, (i.e., Propositions with Multiple Proofs), Wai Taluka Ganit Adhyapak Mandal, Wai, Jun 2009, pages 88

8. (In Marathi) V G Tikekar, “GANIT PHULE” (Mathematical Flowers), Wai Taluka Ganit Adhyapak Mandal, Wai, Aug 2010, pages 64

9. (In Marathi) V G Tikekar, “GANIT CHINTAN” (Mathematical Contemplation), Wai Taluka Ganit Adhyapak Mandal, Wai, Mar 2011, pages 48

10. (In Marathi) V G Tikekar, “GANIT TRIDAL” (Mathematics - 3 Essays), Wai Taluka Ganit Adhyapak Mandal, Wai, Dec 2012, pages 52

11. (In Marathi) V G Tikekar and Nagesh Shankar Mone, "GANITACHI DRUSHTI" (i.e., Mathematical Sight),Wai Taluka Ganit, Adhyapak Mandal, Wai, Oct 2013, pages 64

12. (In Marathi) V G Tikekar, “SANKHYANCHI MOUJCH-MOUJ” (Recreation with Numbers) (in press)

13. (in Marathi) V G Tikekar, "KISSE GATINCHE -- Part 2" (Stories about Mathematicians), Wai Taluka Teachers' Association, 2015, pages 55

14. (in Marathi) V G Tikekar, "VIVIDH AWATARATIL GANIT" (i.e., Mathematics in Different Incarnations), Wai Taluka Ganit Adhyapak Mandal, Wai, Aug 2016, pages 56

15. (in Press) (in Marathi) V G Tikekar, "Pythagoras Theorem -- Specializations, and Generalizations" Wai Taluka Ganit Adhyapak Mandal.

16. (in Press) (in Marathi) V G Tikekar, "Ganitateel Chakve, Puzzles, and Games" Wai Taluka Ganit Adhyapak Mandal.

Contributions to Books

1. V G Tikekar, “How Well We Learn and Teach Mathematics”, pp. 33-36 of the book “Applications and Teaching of Mathematics for Engineers and Scientists”, Edited by M. Saleem, Allied Publ. Pvt. Ltd., 2002

2. V G Tikekar, “Indispensable Mathematics”, pp. 7-32 of the book “Two Mathematical Offerings”, published by The Association of Mathematics Teachers of India (B-19, Vijay Avenue, 85/37, Venkatarangam Pillai Street, Triplicane, Chennai - 600005), 2013

Contributions to Marathi Encyclopedia (published by Vishwakosh Karyalay, Wai, Maharashtra, India)

• Vol. 18

  1. V G Tikekar, "SANKRIYATMAK ANVESHAN" (Operations Research) pp. 270-271

  2. S J Oka, S M Bhave, and V G Tikekar, "SANCH SIDDHANTA" (Set Theory) pp. 365-369

  3. A G Gore and V G Tikekar, "SAMBHAGVYATA - 2" (Probability - 2) pp. 436-438

  4. Shailaja Deshmukh and V G Tikekar, " SAMBHAGVYATA SIDDHANTA" (Probability Theory) pp. 439-444

  5. V G Tikekar, "SADISH AVAKASH" (Vector Space) pp. 607-609

  6. N S Chaudhari and V G Tikekar, "Digital to Analog and Analog to Digital Converters", pp. 609-613

• Vol. 19

  1. V G Tikekar, "SANKHYIKI" (Statistics)

  2. V G Tikekar, "SAPEKSHATA SIDDHANTA" (Relativity Theory)

  3. S J Oka and V G Tikekar, "SYLVESTER, JAMES JOSEPH"

• Vol. 20

  1. V G Tikekar, "HARISH CHANDRA"

  2. S J Oka and V G Tikekar, "STEVIN, SIMON"

  3. S J Oka and V G Tikekar, "HERMITE, CHARLES"

Industrial Consultancy Report Research

• K K Nambiar, S V Rangaswamy, and V G Tikekar, “Computer aided Analysis of spare-parts inventory of large scale electronic equipments”, submitted to B E L, Bangalore, 1972

Translated Book

• V G Tikekar, " GANIT-MADHURY" (Compendium of interesting and informative mathematical articles), translations of English articles by Prof. Dr. Arun M Vaidya, Ahemedabad, Wai Taluka Ganit Adhypak Mandal

Contribution to Monograph

• V G Tikekar, Proof of Corollary (3.5) on p. 60-61 of “A Lecture Course on Information Theory and Statistical Mechanics” by Prof J Kampe de Feriet, Indian Institute of Science, Bangalore, 1963

Research Papers

• FLUID MECHANICS

  1. P L Bhatnagar and V G Tikekar, “A note on the Temperature Distribution in a channel bounded by two co-axial cylinders”, Proc. Cambridge Phil Soc, V. 62 (1966), 301-302

  2. V G Tikekar, “Heat Transfer in a flow of Viscous Incompressible Fluid in a cylinder and cylindrical annulus”, Jour of Indian Inst of Sc , V. 49 (1967), 1-9

  3. V G Tikekar, “Laminar Flow of elastico-viscous fluid inside a cylinder”, Indian Jour Pure and Applied Phys, V. 5 (1967), 246-247

  4. V G Tikekar, “Plane Couttee Flow with suction or injection and heat transfer for Rivlin-Ericksen fluid”, Jour. of Indian Inst of Sci, V. 50 (1968), 244-257

  5. V G Tikekar, “Steady Laminar Flow with Suction or Injection and Heat Transfer through Porous Pipe”, Proceedings of Indian Academy of Sciences, V. 71 (1970), 56-58

  6. V G Tikekar and Swaarnalatha Prabhu, “Numerical Procedure for Second Order Non-linear Ordinary Differential Equations and Application to Heat Transfer problems”, Proc of Indian Academy of Sciences, V. 71 (1970), 288-297

  7. V G Tikekar, “Application of Galerkin’s method to the study of Stability of Flow of a Maxwell Fluid flowing through a Circular Cylinder”, Ganit, V. 21 (1970),93-103

  8. V G Tikekar, “Iterative Procedure for Coupled Non-linear Ordinary Differential Equations under Two-point Boundary Conditions and Application in Flow and Heat Transfer of Rivlin-Ericksen Fluid between two infinite parallel discs, one rotating and the other stationary”, Indian Jour of Pure and Applied Math, V. 2 (1971), 615-630

  9. P L Sachdev, V G Tikekar, and K R C Nair, "Evolution and Decay of Spherical and Cylindrical N Waves", Journal of Fluid Mechanics, v.172, Nov 1986, 347-371

• MATHEMATICAL and NUMERICAL METHODS

  1. V G Tikekar, “On some Integral Properties of Hypergeometric Functions”, Proceedings of the Indian Academy of Sciences, V. 74 (1971), 189-194

  2. V G Tikekar, “On Solution of a Two-point Boundary-value problem of a Linear Ordinary Differential Equation with a parameter” , The Mathematics Student, V. 40, (1972), 120-124

  3. A S Reddy, V G Tikekar, and P Prasad, “Numerical Solution of Hyperbolic equation by method of bicharacteristics”, Jour. of Mathematical and Physical Sciences , 1983

  4. P L Sachdev, K R C Nair, and V G Tikekar, "Generalized Burger's Equations and Euler-Painleve Transcendents I" Jour. of Mathematical Physics, v.27(6), June 1986, 1506-1522

  5. P L Sachdev, K R C Nair, and V G Tikekar, "Generalized Burger's Equations and Euler-Painleve Transcendents III", Jour. of Mathematical Physics, v.29(11),Nov. 1988, 2397-2404

• OPERATIONS RESEARCH

  1. C R Seshan and V G Tikekar, “On Sharma-Swarup Algorithm for Time-minimizing Transportation problems”, Proc Indian Academy of Sciences (Math Sciences), 89(2), 1980, 101-102

  2. C R Seshan and V G Tikekar, “Algorithms for Integer Fractional programming”, Jour Indian Inst of Sc, 62(B), 1980, 9-16

  3. C R Seshan, K K Achary, and V G Tikekar, “A generalized Bottleneck Linear Programming Problem”, Indian Jour of Tech, V. 20 (1982), 5-9

  4. C R Seshan, K K Achary, and V G Tikekar, “A simple Proof of a Basic result on Uniqueness of solution in Linear Programming”, International Jour Of Math Education in Sc and Tech, 11(4), 1980, 591-593

  5. C R Seshan, and V G Tikekar, “Algorithm for Linear Fractional Programming problem”, Proc of the Annual Convection of the Computer Society of India, 1981, III, 129-131

  6. K K Achary, and V G Tikekar , "On trade-off solution pairs in a special type of transportation problems ", Proceedings of Indian Academy of Sciences (Mathematical Sciences), vol. 92, No. 1, Sept. 1983, 1-6.

  7. Vijay Aggarwal, V G Tikekar, and Fern Hsu, “On Bottleneck Assignment Problems Under Categorizations”, Computers and Operations Research, V. 13, n.1, Jan. 1986, pp. 11- 26

  8. A V Shekdar, A D Bhide, and V G Tikekar , "Optimization of Routes of Refuse Transportation Vehicles ", Solid Waste Management , vol.29, Jan 1987,1-15

  9. A V Shekdar, K N Krishnaswamy, V G Tikekar, and A D Bhide, “Long-term Planning for Solid Waste Management in India”, Waste Management & Research, vol.9(6),Dec. 1991, pp. 511-523

  10. A V Shekdar, K N Krishnaswamy , V G Tikekar, and A D Bhide , "Indian Urban Solid Waste Management Systems -- Jaded Systems in need of resource augmentation" , Waste Management, Dec 1992.

  11. V G Tikekar and S S Kulkarni, “On 'IBFC to Transportation Problems'”, Bulletin of the Marathwada Mathematical Society, V. 11, n. 1, Jun 2010, pp. 72-74

• COMPUTER SCIENCE

  1. N Chakrapani, S V Rangaswamy, and V G Tikekar, “Development of a Structured Program for conversion to prenex Normal form”, Jour Indian Inst of Sc, 61(A), May 1979, 123-133

  2. S V Rangaswamy, N Chakrapani, and v G Tikekar, “A Computational Algorithm for the Verification of Tautologies in Propositional Calculus”, Jour Indian Inst of Science, 62(A), 1980

  3. N Chakrapani, S V Rangaswamy, and V G Tikekar, “Top-down Design of an Analytic Tableau based Theorem Prover”, International Conference on Cybernetics and Society at Cambridge Mass. (U S A)

  4. K K Nambiar, T Radhakrishnan, and V G Tikekar, “Representation of Functional Dependencies in Relational Databases using Linear Graphs”, Theoretical Computer Science, V. 24, Spring 1983, pp. 143 - 159.

  5. K K Nambiar, and V G Tikekar, “A Generalization of Functional Dependencies in Relational Databases and use of Boolean Algebra”, Jour. of Indian Institute of Science, V. 64 (B), Aug. 1983, pp. 219 -228.

• GUEST-EDITED

  1. Junior Mathematician (A Journal for Student Members), 2(2), May-June 1992, pages 24, The Association of Mathematics Teachers Of India

• TUTORIAL PAPERS

  1. V Krishnan, V G Tikekar, and K A Narayanan, “Fast Fourier Transforms”, presented at the Annual Convention of the Computer Society of India, Dec 1971

  2. S Sunderamurthy, and V G Tikekar, “Management Training and Computers”, presented at the Annual Convention of the Computer Society of India, Feb 1973

  3. V G Tikekar, “Mother Tongue in Computing Science”, presented at the Annual Convection of the Computer Soc of India held at Pune, India, Jan 1977

• ARTICLES on MATHEMATICS, MATHEMATICAL EDUCATION and TEACHING, and other topics

  1. V G Tikekar, “Electronic Brain”, Akashwani, Science Special Number, 41(46), Director General, All India Radio, Nov 1976, 37-38

  2. V G Tikekar, "Definitions in Mathematics", Indian Journal of Mathematics Teaching, vol. IV, No.2 (special issue dedicated to Late Prof P L Bhatnagar),1977, pp 24-26. (Association for Improvement of Mathematics Teaching, Jagadbandhu Institution, 25, Fern Road, Kolkata 700019)

  3. Phoolan Prasad, and V G Tikekar, “Mathematics Olympiad”, Deccan Herald, Oct. 19, 1978

  4. V G Tikekar, “Operations Research”, Electrotechnology.

  5. V G Tikekar, “Eleven Commandments”, Sanskrit Sangha, Indian Inst of Sc ,Bangalore, vol. 1, 1978, 16-18

  6. V G Tikekar, “Some Points of Emphasis in Learning and Teaching of Mathematics”, Mathematics Teacher India, vol. 16, 1980, pp. 2 – 9

  7. V G Tikekar, “Notes on (I)Previously Solved Problems, (II) Be After Better Method Always, (III) Mathematicians Classified, Mathematics Teacher (India), pp. 134-137

  8. V G Tikekar, “Mathematics at the Millennium Change”, Bona Mathematica, vol. 11, n.1, Mar. 2000, pp. 3 - 10.

  9. V G Tikekar, “Chemical Analogies in Mathematics Teaching”, Bull. of the Marathwada Mathematical Society, vol. 1, Dec.2000, pp. 134 -136.

  10. V G Tikekar, “Friendly and Changing Ways of Teaching Mathematics”, The Mathematics Teacher (India), vol. 37, n.1&2, 2001, pp. 23 - 47.

  11. V G Tikekar, “Politics Entered Mathematical Domain”, Ganit Bharati (Bull. Ind. Soc. Hist. Math. ), vol. 23, n. 1 - 4, 2001, pp.122 -124.

  12. V G Tikekar, “Concerns of a Mathematician”, Bona Mathematica, vol. 13, n.1, Mar. 2002, pp. 6 - 15.

  13. V G Tikekar, "Some Surprises in Mathematics", Indian Journal for the Advancement of Mathematics Education and Research, Andhra Pradesh Association of Mathematics Teachers, vol. 30, 2002, pp.1-5.

  14. V G Tikekar,"Working of Mathematics", Ganit Shikshan,Sept 2002, pp 8-12

  15. V G Tikekar, “On Prime Numbers”, Bull. of the Marathwada Mathematical Society, vol. 4, Dec.2003, pp. 107 -108

  16. V G Tikekar, “Alternative Proofs of Infinitude of Primes”, Bulletin of the Marathwada Math Soc, 6 (2), Dec 2005, 61-64.

  17. V G Tikekar, "Some Interesting Mathematical Gems", Resonance (Journal of Science Education), vol.11, No.9, Sept.2006, pp.29-42, Indian Academy of Sciences.

  18. V G Tikekar, "Some Not-so-known Indian Contributors Who Enriched Mathematics", SATRATRAYI (Proceedings of Triadic National Seminar on Bhaskariyam - Bharatiyam Dhanvantariyam, Organised by Swadeshi Vijnana Andolan - Karnataka in collaboration with Indian Heritage Academy, Dec 2006, pp.101-104.

  19. V G Tikekar, "Fibonacci and Some Other Numbers as Particular Cases", Bulletin of the Marathwada Mathematical Society, vol. 8, No.1, June 2007, pp.57-60.

  20. V G Tikekar, “Pride-Worthy Indian Contribution to Morley’s Miracle”, Ganit Bharati vol. 29, Nos. 1-2, 2007, pp. 61-67.

  21. V G Tikekar, “Seven Different Proofs of Irrationality of √2”, Resonance, vol. 12, No. 12, Dec 2007.

  22. V G Tikekar, "Deceptive Patterns in Mathematics" (2nd title : "Deceptive and Misunderstanding Nature of Mathematics"), Sutra : International Journal of Mathematical Science Education [c : Technomathematics Research Foundation], vol. 2, No.3, Nov.2009, pp.13-21, http://www.tmrfindia.org/sutra/v2i12.pdf

  23. V G Tikekar, "There are Infinitely many Primes -- I", At Right Angles, vol. 2, No. 3, Nov. 2013, pp. 5 - 8

  24. V G Tikekar, "There are Infinitely many Primes -- II", At Right Angles, vol. 3, No. 1, Mar. 2014, pp. 15 - 19

  25. V G Tikekar, "Morley's Miracle - Part 1", At Right Angles, vol. 3, No.2, July 2014, pp.10 -13

  26. V G Tikekar, "Morley's Miracle - Part 2", At Right Angles, vol. 3, No.3, Nov 2014, pp. 5 - 8

  27. V G Tikekar, "PWW for VIVIANI theorem", At Right Angles, vol 4, No 1, Mar 2015, pp. 5-6

  28. V G Tikekar, "Newer Ways of Looking at some Mathematical Problems", Bulletin of Marathwada Mathematical Society, vol 17, No. 2, Dec. 2016, pp. 47 - 57

  29. V G Tikekar, "Breaking New Ground", Deccan Herald (supplement Metrolife), Monday, January 19, 2015, p.1, http://m.deccanherald.com/articles.php?name=http%3A%2F%2Fwww.deccanherald.com%2Fcontent%2F454228%2Fbreaking-ground.html

  30. V G Tikekar, "On the Sums of powers of Natural Numbers - Part I" , At Right Angles, vol 6, No. 3(Nov 2017), pp 5-8.

  31. V G Tikekar, "On the Sums of powers of Natural Numbers - Part II" , At Right Angles, vol 7, No.1 (Mar 2018).

  32. V G Tikekar, "Addendum to Power Triangle" , At Right Angles, vol 7, No. 2, (July 2018), pp. 28-29.

  33. V G Tikekar, "Spoof Numbers and Spoof Solutions - Part I", At Right Angles, Issue 11, (Nov. 2021) , pp. 13 - 17

  34. V. G. Tikekar, "Spoof Numbers and Spoof Solutions - II" , At Right Angles , issue 13 , (July 2022) , pp. 17 - 22

  35. (in Marathi) V G Tikekar, " साखळी खूनसत्र (Chain of Murders)", Daily TARUN BHARAT , Kolhapur :

      1. Part 1: " मानवी हाडाचा सांगाडा", 3 Nov. 2002, page 10

      2. Part 2 : "अपहरण करून मुलांचे खून ", 10 Nov 2002, page 12

      3. Part 3 : "दहा जणांचे हत्याकांड , दोन मुलींचे अपहरण ", 17 Nov 2002, page 12

      4. Part 4 : " सहा बळी घेणाऱ्या मिलरचा अपघाती मृत्यू ", 24 Nov 2002, page 8

      5. Part 5 : 1 Dec 2002

      6. Part 6 :"खुनी फॉन आयनेमला आजन्म कारावास ", 8 Dec. 2002, page 10

  36. (in Marathi) V G Tikekar, " रक्तपिपासू ", Daily TARUN Bharat, Kolhapur, 25 May 2003, page 8

  37. (in Marathi) V G Tikekar, "कोळ्याचा पोर बेपत्ता , कॉरेनेर म्हणते खून", Daily TARUN BHARAT , 1 June 2003, page 12

  38. (in Marathi) V G Tikekar, “Sankhya Jagatatil Vividhata ani Chamatkar, i.e.Variety and Miracles in the Number-World)”, Shunya (souvenir of the 27th state-level conference of Maharashtra Ganit Adhyapak Mahamandal, at Ichalkaranjee, Nov 2005, pp.6-11.

  39. (in Marathi) V G Tikekar, “Some Surprises in the Study of Mathematics”, Special Issue on the occasion of Meeting of WAI TALUKA Mathematics Association, 2003.

  40. (in Marathi) V G Tikekar, “Five different proofs of irrationality of Square root of 2”, Ganit: Chhand-Anand, 1(1), Feb 2004.

  41. (in Marathi) V G Tikekar, “Formula for Generating Primes” (TIKEKARIY-1), Ganit: Chhand-Anand, 1(2), May 2004, pp.40-41.

  42. (in Marathi) V G Tikekar, “Perfect, Deficient, and Abundant Numbers” (TIKEKARIY-2), Ganit: Chhand-Anand, 1(3), Aug 2004, pp.36-38.

  43. (in Marathi) V G Tikekar, “Kaprekar Conjecture” (TIKEKARIY-3), Ganit: Chhand-Anand, 1(4), Oct 2004, pp.40-41.

  44. (in Marathi) V G Tikekar, “Kaprekar Constant” (TIKEKARIY-4), Ganit: Chhand-Anand, 2(1), Jan 2005, pp.14-15.

  45. (in Marathi) V G Tikekar, “42nd Perfect Number has arrived” (TIKEKARIY-5), Ganit: Chhand-Anand, 2(2), Apr 2005, pp.24-26.

  46. (in Marathi) V G Tikekar, “Three Triangles in Arithmetic” (TIKEKARIY-6), Ganit: Chhand-Anand, 2(3), July 2005

  47. (in Marathi) V G Tikekar, "Proof Of Morley's Theorem by Direct Method", Ganit: Chhand-Anand, 3(3), July 2006

  48. (in Marathi) V G Tikekar, “All Fun with Numbers”, (TIKEKARIY-7), Ganit: Chhand-Anand, Joint issue, 2(4) and 3(1), Oct 2005 & Jan 2006, p.37-40

  49. (in Marathi) V G Tikekar, “Minimum Everywhere”, (TIKEKARIY-8), Ganit: Chhand-Anand, 3(2), Jan and Apr 2006, pp. 21-24

  50. (in Marathi) V G Tikekar, “Sieve Numbers and Lucky Numbers”, Ganit: Chhand-Anand, 3(2), Apr 2006, pp. 9-10

  51. (in Marathi) V G Tikekar, “All Fun with Numbers – 2”, (TIKEKARIY-9), Ganit: Chhand-Anand, 3(3), Jul 2006, pp. 16-18

  52. (in Marathi) V G Tikekar, "Don Purna Varganchya Berjeche Vividh Awatar" (i.e. "Various Incarnations of the Sum of Two Perfect Squares", (TIKEKARIYA-10) Ganit: Chhand-Anand, 3(4), Oct 2006, pp.9-12

  53. (in Marathi) V G Tikekar, "Kon Kunala Bhagu Shsake" (i.e. "Which Can Divide What" ), (TIKEKARIYA-11), Ganit : Chhand-Anand, 4(1),Jan 2007, pp.18-20

  54. (in Marathi) V G Tikekar, "Sankhyanchi Moujach Mouj-(3)" i.e."All Fun With Numbers - (3)", (TIKEKARIYA-12), Ganit: Chhand-Anand, Apr 2007, pp.20-22

  55. (in Marathi) V G Tikekar, "Let Us Learn Some Mathematics Along with Fun", (TIKEKARIYA-13), Ganit: Chhand-Anand, July & Oct 2007 (Joint Issue)

  56. (in Marathi) V G Tikekar, "Don't Get Deceived by Patterns - (1)", Ganit: Chhand-Anand, 3(3),Jul 2006, pp.9-10

  57. (in Marathi) V G Tikekar, "Don't Get Deceived by Patterns - (2)", Ganit: Chhand-Anand, 3(4),Oct 2006,pp.25-26

  58. (in Marathi) V G Tikekar, "Don't Get Deceived by Patterns - (3)", Ganit: Chhand-Anand, 4(1),Jan 2007,pp.8-9

  59. (in Marathi) V G Tikekar, "Don't Get Deceived by Patterns - (4)", Ganit: Chhand-Anand, 4(2),Apr 2007,pp.27-28

  60. (in Marathi) V G Tikekar, "Don't Get Deceived by Patterns - (5)", Ganit: Chhand-Anand, 4(3&4),Jul & Oct 2007

  61. (in Marathi) V G Tikekar, "Why New Mathematics?" (When is the practical relevance of new discovery in Mathematics realized?), Educational Reference, issue number 73 (Dec 2011- Jan 2012), pp. 67-72

  62. (in Marathi) V G Tikekar, "Srinivas Ramanujan" Ganit: Chhand-Anand, issue number 30, Jan 2013, pp. 9-15

  63. (in Marathi) V G Tikekar, "Professor P L Bhatnagar" Ganit: Chhand-Anand, issue number 30, Jan 2013, pp. 16-17

  64. (in Marathi) V G Tikekar, "Professor P L Bhatnagar", Ganit-Bhaskar (Souvenir brought out on the occasion of High School Teachers' Conference at Miraj), Feb 2013, pp. 1-3

  65. (in Marathi) V G Tikekar, "When Does New Mathematical Discovery Find Practical Usefulness?", Ganit-Bhaskar (Souvenir brought out on the occasion of High School Teachers' Conference at Miraj), Feb 2013, pp. 6-10

  66. (in Marathi) V G Tikekar, "SHODH KUNACHA, SHREY KUNALA?" (i.e. "Crediting Discovery") Ganit : Chhand-Anand, issue no. 34 (Jan. 2014), pp. 6 - 13

  67. (in Marathi) V G Tikekar, "Mathematical Discoveries made by students", Ganit : Chhanda-Anand, 11th year,37th issue, Oct 2014, pp. 3 - 7

  68. (in Marathi) V.G.Tikekar, "EK AVISHVANIYA PRASANG (i.e., One Unforgettable incident)", Lord Ganesh Festival-Special Issue 2016 (of Sa. Na. Vi. Vi.), Maharashtra Mandal, Bangalore p.18-19, Sept.2016

  69. (in Marathi) V G Tikekar, "Salutations to Contributions by Teachers", (i) supplement "Kolhapur Times" of the daily "Maharashtra Times" (Kolhapur Edition), 22nd Feb. 2017 as well as 7th March 2017, and (ii)page 74-75 of annual magazine of New English School, Satara,- 416002 (Maharashtra) (http://epaperbeta.timesofindia.com/Article.aspx?eid=31832&articlexml=07032017102003)

• BOOK REVIEWS

  1. V G Tikekar, Review of “Calculus with Finite Mathematics for Social Sciences” by Mary W Gray (Addition-Wesley, 1972), Current Science, 43(9), 1974, p.296

  2. V G Tikekar, Review of “Bayesian Inference in Statistical Analysis” by George E P Box, and George C Tiao (Addison-Wesley, 1973), Current Science, V. 43 (1974), p.327

  3. V G Tikekar, Review of “Calculus of Several Variables” by Serge Lang (Addison-Wesley,1973), Current Science, 43(17), 1974, p.56

  4. V G Tikekar, Review of “Interactive Computing with BASIC” by Peter C Randerson (Butterworth, 1973), Current Science, 43(18), 1974, p.600

  5. V G Tikekar, Review of “Linear Methods of Applied Analysis” by Allan M Krall (Addison-Wesley, 1973), Current Science, 43(19), 1974, p.633

  6. V G Tikekar, Review of “Calculus with Probability for the Life and Management Sciences” by Willard E Baxter, and Clifford W Sloyer (Addison-Wesley, 1973), Current Science, 43(20), 1974, p.668

  7. V G Tikekar, Review of “Essentials of Computer Programming in FORTRAN IV” by Nripendra N Biswas (Radiant Books, 1975), Indian Jour of Tech Education, V. 3, (April 1975), pp.120-121

  8. V G Tikekar, Review of “Introduction to PASCAL” by C A G Webster (Heyden & Son Ltd, 1976), Jour Computer Soc India, 7(2), Jun 1977, p.38

  9. V G Tikekar, Review of “Optimization Methods in Operations Research and Systems Analysis” by K V Mittal (Wiley Eastern, 1976), Jour Computer Soc India, 7(2), Jun 1977, p.39

  10. V G Tikekar, Review of “Operations Research” by Kanti Swarup, P K Gupta, and Man Mohan (Sultan Chand and sons, 1977), Current Science, 47(10), 1978, p.35

  11. V G Tikekar, Review of "Optimization Methods in Operations Research and Systems Analysis ", Resonance - J. of Sc. Edu., V. 2, Jun. 1997, p.91

  12. V G Tikekar, Review of "Probability and Random Processes” by S.K. Srinivasan and K.M. Mehta, (Tata-McGraw-Hill, 1978), Current Science, 48(5), Mar 5, 1979, pp.231-232

• SPECIALLY INVITED ARTICLES

  1. V G Tikekar, “My Reminiscences of Professor P. L Bhatnagar”, Mathematics Teacher (India), V. 14, 1978, pp. 90 - 91.

  2. Phoolan Prasad, Renuka Ravindran, and V G Tikekar, “P. L. Bhatnagar”, The Biographical Memoirs of the Indian National Science Academy, V. 14, 1989, pp. 116-134

  3. V G Tikekar, "Prabhakar Ghate - My Cousin Brother", A Silent Striver Whose Achievements Speak (Prabhakar Ghate, 1927-2005), Bharatiya Mazdoor Sangh, Bangalore, 2006, pp.18-19.

  4. S.G. Deo and V.G. Tikekar, "Well Done and So Go Ahead, Prof Dr DY Kasture", Bulletin of Marathwada Mathematical Society, V. 15 No. 1 June 2014, pp. vi-vii

  5. V G Tikekar, "How Good is a Method of Solving a Problem?", Proceedings of the National Seminar on New Trends in Analysis (25th and 26th Sept 2014), Dept of Math, Nehru Arts and Science College, Kanhangad (Kerala), 671314, pp. 12-22.

• RADIO TALKS and T.V. INTERVIEWS

  1. V G Tikekar, “Electronic Brain”, All India Radio,Bangalore, Feb. 21, 1975, 9.15 to 9.30 p.m.

  2. V G Tikekar, Talk under the programme titled "SAFARNAMA GANITACHA", broadcast on All India Radio, Nashik, 2014-15

  3. "GANITEE GAPPA " ,Interview (in Marathi) by a local T V channel ( S.M.S. "Janamat") at SATARA (Maharashtra), Oct. 7, 2012

• LECTURE NOTES

  1. V G Tikekar, On “ Tests of Significance and Confidence Intervals”, Three-month Evening Course on Statistics applied to Industry, organized jointly by Mysore State Productivity Council and Indian Statistical Institute (Mysore State Branch), 1966

  2. V G Tikekar, On (1) “Probability”, (2) “Linear Programming” , Mathematics Summer School for Science Talent Scholars held under the auspices of the National Council of Educational Research and Training, 1967

  3. V G Tikekar, On “Linear Programming”, Intensive Evening Training Course on FORTRAN IV and Computer Oriented Numerical Techniques, at Indian Inst of Sc, Bangalore, Mar-April 1973

  4. V G Tikekar, On “Dynamic Programming”, Intensive Course on FORTRAN IV Programming and Optimization Algorithms (Mar 27-April 25, 1978) organized under the auspices of the Center for Continuing Education at I.I.Sc.

  5. V G Tikekar, On “Data Analysis for Reliability Studies”, Tutorial Course on Power System Reliability organized by IEEE (Indian Section), Feb. 4, 1975

  6. V G Tikekar, On (1) “CLASS (Classroom Assembly System)”, (2) “Some Machine Instructions from the Standard Instruction set of the Assembler Language of the IBM 360 Computer System”, Course on Computer Software at Quality Improvement Programme, Indian Inst of Sc, Bangalore, Mar 1975

A LIST (circulated on WhatsApp) of "MUST-READ" and "WORTH PUBLISHING" books, included a book authored by Dr Tikekar.