Editor-in-Chief Volume 1, Issue 7 News Letter Since: 11/11/2016 Dr. N.Anbazhagan Professor & Head, DM

Associate Editor Mrs. B. Sundara Vadivoo We are delighted to bring to you this issue of ALU Mathematics Assistant Professor, DM News, a monthly newsletter dedicated to the emerging field of Editors Mathematics. This is the first visible ―output from the Department Dr. J. Vimala of Mathematics, Alagappa University. We are committed to make Assistant Professor, DM Dr. R. Raja ALU Mathematics News a continuing and Assistant Professor, RCHM effective vehicle to promote Dr. S. Amutha Assistant Professor, RCHM communication, education and networking, Dr. R. Jeyabalan as well as stimulate sharing of research, Assistant Professor, DM innovations and technological Dr. M. Mullai developments in the field. However, we Assistant Professor, DDE would appreciate your feedback regarding Technical & Editorial how we could improve this publication and Assistance enhance its value to the community. We are R.Suganya VS.Anushya Ilamathy keen that this publication eventually grows Dr. N. Anbazhagan D.Gandhi Mathi beyond being a mere ―news letter to J.Arockia Reeta become an invaluable information resource K.Surya prabha C.Sowmiya for the entire Mathematics community, and look forward to your L.Vijayalakshmi inputs to assist us in this endeavor.

FIELDS MEDAL Fields Medal is highest honored award for Mathematics and its a prize awarded to two,three or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union(IMU), a meeting that takes place every four years.

Affiliation at the ce California Year Name time of the award Wend 2006 Werner Université Paris-Sud CNRS - Institut de elin Avila Mathématiques de Institut des Hautes 2014 Artur Cordeiro Laure Jussieu-Paris Rive 2002 Lafforgue Études Scientifiques de Melo nt Gauche Manj Princeton Vladi Institute for 2014 Bhargava 2002 Voevodsky ul University, mir Advanced Study Marti University of Richa University of 2014 Hairer 1998 Borcherds n Warwick rd E. Cambridge Mary W. 2014 Mirzakhani Stanford University University of am 1998 Timot Gowers Cambridge Université Paris-Sud hy Ngô 2010 Châu 11 and Institute for Institut des Hautes Bao Maxi Advanced Study 1998 Kontsevich Études Scientifiques m Lindenstra Hebrew University 2010 Elon uss of Jerusalem Curtis 1998 McMullen Harvard University Stanis T. 2010 Smirnov University of Geneva lav K. Institut des Hautes École Normale 1994 Jean Bourgain Études Scientifiques Cédri Supérieure de Lyon 2010 Villani c and Institut Henri Pierr Université de Paris- Poincaré 1994 e- Lions Dauphine, Andr Louis CEREMADE 2006 Okounkov Princeton University ei Jean- Université de Paris- 1994 Yoccoz 2006 Teren Tao University of Christ Sud (Orsay) ophe David University of 1974 Bryan Mumford Harvard University Efim Wisconsin (now at t 1994 Zelmanov I. the University of University of 1970 Alan Baker Chicago) Cambridge Steklov Heisu Vladi 1970 Hironaka Harvard University 1990 Drinfeld Mathematical ke mir Institute Serge Belorusskii 1970 Novikov Vaug P. University 1990 han Jones Columbia University John University of F.R. 1970 Grigg Thompson Chicago Shigef s 1990 Mori Harvard University umi Micha Edwa el 1990 Witten Princeton University 1966 Atiyah University of Oxford rd Franc Simo is 1986 Donaldson University of Oxford n K Paul 1986 Gerd Faltings Princeton University 1966 Josep Cohen Stanford University h Micha University of 1986 Freedman Alexa Grothendie el H. California 1966 University of Paris nder ck Institut des Hautes Steph University of 1982 Alain Connes Études Scientifiques 1966 Smale en California Willia Hörmande Stockholm 1982 Thurston Princeton University 1962 Lars m P. r University Shing Institute for John 1982 Yau -Tung Advanced Study 1962 Willa Milnor Princeton University rd Pierr Institut des Hautes 1978 e Deligne Études Scientifiques Klaus René 1958 Fried Roth London University rich Charl University of 1978 es Fefferman Princeton University 1958 René Thom Louis Strasbourg Kunih Grego 1954 Kodaira Princeton University ri iko University of 1978 Aleks Margulis Jean- Moscow andro 1954 Pierr Serre Collège de France vitch e Massachusetts Laure Danie 1950 Schwartz Nancy University 1978 Quillen Institute of nt l G. Technology (MIT) Institute for 1950 Atle Selberg Enric Advanced Study 1974 E Bombieri University of Pisa o Lars Massachusetts 1936 Valeri Ahlfors Harvard University 1936 Jesse Douglas Institute of an Technology (MIT) 2. Satyendra Nath Bose TOP 10 INDIAN MATHEMATICIANS

Since ancient times, India has a rich history of producing great mathematicians and astronomers. Some famous and popular mathematicians include Brahmagupta, Varahamithira, Aryabhata, Bandhayana who were still praised today for their contribution toward the subject. With the advancement in education, the subject of Born in Kolkata in 1884, Satyendra Nath mathematics has become more specialized Bose is one of the most prominent Indian and conceptual. World has seen the mathematicians. In year 1924, Bose sent emergence of several Indian mathematics his mathematical finds to Albert Einstein in last two century. We have listed below which lead to the discovery of Bose- the contribution of top 10 Great Indian Einstein condensate phenomenon. In 1954, Mathematicians from modern time. Government of India awarded Padma

Vibhushan for his contribution in 1.Srinivasa Ramanujan mathematics.

3. C.S.Seshadri

Srinivasa Ramanujan was a mathematic genius who won several accolades in field of mathematics. His was known for his Seshadri completed his graduation from contribution in analytical theory of Madras University and PhD from Bombay numbers, elliptic functions, continued University in year 1958. He is known for fractions and infinite series. On his his contribution in algebraic geometry. He nd birthday on 22 December, Tamil Nadu invented seshadri constant and government celebrates state IT Day. Narasimhan-Seshadri theorem. Government of India awarded him with Padma Bhushan in 2009 to recognize his Padma Vibhushan in 2001 for his contribution in field of Mathematics. contribution in mathematics.

4. P.C.Mahalanobis 6. Harish Chandra

P.C.Mahalanobis was a renowned Indian Harish Chandra was a famous American statistician who completed his education in physicist and mathematician from Indian physics and mathematics from University origin. He pursued his masters under the of Cambridge. He is known for discovering supervision of Homi Bhabha. He was D2-statistics which is used for divergence worked on several mathematical theories based grouping. Government of India with renowned mathematicians from all felicitated him with Padma Vibhushan in across the world. In 1954 he received Cole 1968 for his contribution in statistics. Prize of the American Mathematical Society. 5. C.R.Rao 7. Narendra Karmarkar

C.R.Rao is one of the prominent American In year 1957, Narendra Karmarkar was statisticians from Indian Origin. Born in born in Gwalior. He has completed his 1920 in Karnataka, Rao completed his graduation in electrical engineering from masters in mathematics from Andhra IIT Bombay and went to USA for post University. He is known for his graduation and Ph.D. Karmarkar was contribution in discovering Cramer-Rao famous for his contribution in inventing bound and the Rao-Blackwell theorem. polynomial algorithm for linear Government of India felicitated him with programming. In year 2000, he received Paris Kanellakis Award for his work in the mathematical problem solving capability. field of Mathematics. He has contributed a lot toward the mathematical field especially in field of 8. D.R.Kaprekar algebra and geometry. In 1973, Ramanujam was elected as a fellow of the Indian Academy of Sciences.

10. Shakuntala Devi

D.R.Kapreka was yet another great mathematician who was born on in Shakuntala Devi was one of the most Mumbai in Year 1905. Kapreka pursued his popular mathematics geniuses of Indian graduation from University of Mumbai and origin. She was regarded as ‘Human started working as a teacher. Kapreka Computer’ because of her inborn capability contributed lot towards various topics to solve most complex calculation with including recurring decimals, magic using any calculator. Due to her squares and integers with special outstanding mathematical problem solving properties. The kaprekar number goes to capability, she won the first place at him. Guinness Book of World Records in 1995. She has even defeated UNIUAC, the fastest 9. C.P.Ramanujam computer’s time of 62 second to solve the 23rd root of a 201-digit number.

C.P.Ramanujam was one of the great mathematicians born in Chennai in year 1938. During his doctoral examination at Tata Institute of Fundamental Research in 1957, Ramanujam impressed all his teachers and fellow students with his MATHS PUZZLES 1) Can you find four consecutive prime 8+6+3=482466 numbers that add up to 220? 5+4+5=202541 Answer Then 7+2+5=? 47+53+59+61=220. Answer 143547 2) Find three positive whole numbers that have the same answer added 6) Replace the ‘?’ by any mathematical together or when multiplied symbol to make the expression together? equal to 111. 18?12?2?3=111. Answer Answer 1,2&3. 18×12÷2+3=111. 1×2×3=6 and 1+2+3=6. 7) Today my car meter reads as 72927 3) When Deepak was six years old he kms. I notes that this is a hammered a nail into his favourite palindrome. How many minimum tree to mark his height. Five years kms I need to travel so my car meter later at age eleven, Deepak returned find another palindrome. to see how much higher the nail was. If the tree grew by ten inches each Answer year, how much higher would the 110 kms. nail be? 72927+110=73037, a palindrome. Answer The nail would be at the same height 8) Can you arrange for nines to make it since trees grow at their tops. equal to 100. Hint: use two mathematical symbols. 4) In a new Engineering Hostels Answer containing 100 rooms. Ramesh was 99+(9/9) = 100. hired to paint the numbers 1 to 100 on the doors. How many times will 9) What is the value of 1/2 of 2/3 of Ramesh have to paint the number 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of eight? 8/9 of 9/10 of 1000? Answer Answer 20 times. 100. Look hard? Just work it 8,18,28,38,48,58,68,78,80,81,82,83,8 backwards. You found it easy. 4,85,86,87,88,89,98.

5) 5+3+2=151022

9+2+4=183652

NUMBER PUZZLES we’ve used that already. So B=1 21CD8*4 = 8DC12 To get the 1 that’s on the right-hand side, D*4+3 when divided by 10 must leave a remainder of 1. D can’t be 2 (2 has been used already) so D=7 21C78*4 = 87C12 4*C+3 when divided by 10 must give the answer 3 and a What 5 digit number(where the remainder C, so C=9 digits are all different and none of 21978*4 = 87912 . them is zero) multiplied by 4 gives an answer where the digits are those This sum uses all the digits from 0 of the original number but in reverse to 9 order? 28* Answer + **4 21978. ABCDE*4 = EDCBA **** Let’s start at the ends. A can only be 1 or 2, because Answer A*4<10. E*4 divided by 10 289+764 = 1053. must leave a remainder of A. It can’t leave a remainder of 1, so A=2 2BCDE*4 = EDCB2 If E*4 divided by 10 leaves a remainder of 2, then E has to be 3 or 8. The E on the right- hand side must be 8 or 9. Putting those 2 constraints together, E=8 2BCD8*4 = 8DCB2 B*4 must be < 10. If it was more, then the first digit of ♠♠♠♠♠♠ the right-hand side wouldn’t be 8. B can’t be 2 because