# WELCOME TO THE EXCITING WORLD OF MATHEMATICS

### HAPPY PI DAY

### Excellent Maths Video by Sarvjeet Arora

Dear all,

Please watch free online videos for classes XI and XII mathematics including questions of NCERT, REFERENCE BOOKS, HOTS, VALUE BASED and TEN YEARS BOARD QUESTIONS by my friend SARVJEET ARORA.

https://www.youtube.com/channel/UC3ohUuLBae-gt_lmn8jGqPQ

### Largest Prime Number M77232917 discovered on January 4 , 2018

Largest Prime Number M77232917 discovered on January 4 , 2018

A FedEx employee Jonathan Pace ,an engineer by profession has discovered the largest prime Number. According to GIMPS’s (Great Internet Mersenne Prime Search) website, the newly discovered prime number is calculated by raising 2 to the 77,232,917th power and subtracting 1.

M77232917 itself is reportedly 23 million digits long. According to New Scientist, it is one million digits longer than its predecessor, which clocked in at 22 million digits.

The greatest prime number discovered before M77232917 was found in 2015, and was 5 million digits longer than the one that came before it in 2013.

Although Euclid proved that if 2^P-1 is prime, then 2^P-1*(2^P-1) is a perfect number in 350 BC, the French monk Marin Mersenne was honored with the name for his conjecture of which prime numbers could be used for P to produce larger primes. Although written in the early 17th Century, the conjecture took 300 years to prove. Meanwhile, Euler also got in on the act, proving that all even perfect numbers are formed this way.

In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form of 2^p − 1 for some integer p.

### Happy Birthday to Ramanujan

Today is the 130th birth anniversary of great Indian Mathematician Srinivasa Ramanujan and so is National Mathematics Day.

Srinivasa Ramanujan was born on 22 December 1887 in Erode, Tamil Nadu. He is a man known for his work done in the field of mathematics. And that too with no formal training of that subject which others are getting in European countries. Ramanujan developed his own mathematical research in isolation. Some extraordinary contribution done by him in the field of mathematics are – mathematical analysis, number theory, infinite series, and continued fractions. Along with this, the legend has provided many theorems.

He was enrolled into Telegu School, but found it too tiring and uninteresting to attend school and mostly he use to ran away from there. Later in 1904, he graduated from Town Higher Secondary School. He also received a scholarship to study at Government Arts College in Kumbakonam. During his studies he was so influenced by studying mathematics that he could not focus on any other subject and failed in all of them. This resulted him in losing the scholarship. Later, without any degree, he left the college and continued to pursue independent research in mathematics.

His unconditional love for mathematics was driving him to develop new things for that subject, but to support his livelihood he was working as a clerk in the Accountant-General's office at the Madras Port Trust Office. He kept working on inventing new mathematical theorems and continuously tried contacting the experts from west. G.H. Hardy, an academician at the University of Cambridge, recognized the brilliant work produced by Ramanujan and invited him to visit and work with him at Cambridge. Here, Ramanujan became a Fellow of the Royal Society and a Fellow of Trinity College, Cambridge.

Some of the known works, produced by this great mind, are - Landau–Ramanujan constant, Mock theta functions, Ramanujan conjecture, Ramanujan prime, Ramanujan theta function, Ramanujan's sum, Rogers–Ramanujan identities and Ramanujan's master theorem.

Ramanujan died on 26th April, 1920, when he was only 32 years of age. In this short life he gave around 3900 results, mostly equations and identities and almost all of them prove to be correct and original.

G. H. Hardy liked to rank mathematicians on a scale of 1 to 100, and he gave himself 25, Littlewood 30, David Hilbert 80, and Ramanujan 100, which shows just how great Ramanujan was.

The Indian mathematical genius Srinivasa Ramanujan was born on 22 December 1887. It was in recognition of his contribution to mathematics the Government of India decided to celebrate Ramanujan's birthday as the National Mathematics Day every year and to celebrate 2012 as the National Mathematical Year.

### Another Ramanujan in the making

__Srinivas__ Raghava is receiving 'Bharat Ganita Sri'' Award. We are proud of Srinivasa, who is considered to be another Ramanujam in the making as discussed in the articles below.

http://www.thehindu.com/todays-paper/tp-national/tp-andhrapradesh/Another-Ramanujam-in-the-making/article15260156.ece

http://www.thehindu.com/todays-paper/tp-features/tp-educationplus/A-pandit-of-Vedic-maths/article15406133.ece

### Happy Pi Approximation Day

The mathematical constant π (pi) is special for a number of reasons. One of them is that there are at least two holidays dedicated to pi: Pi Day celebrated on March 14 and Pi Approximation Day observed on July 22.

### Meet Maryam Mirzakhani, the first woman to win the 'Nobel Prize Of Math'

### Youtube videos - INVERSE TRIGONOMETRY

Dear class XII students,

I am sharing the YouTube links of various videos based on the chapter Inverse Trigonometry. These videos are prepared by my friend and an excellent maths teacher.

Please do watch, share and like.

Introduction to Inv Trigonometric Functions (Part1/8)

https://youtu.be/HvUCu_4iVO4

Principal value branch solved questions (Part 2/8)

https://youtu.be/OdvR1JhzJDw

Properties I & II solved questions (Part 3/8)

https://youtu.be/VArASbON19k

Properties III,IV and Substitution Questions (Part 4/8)

https://youtu.be/10vR2BNjDrg

Properties V, VI and VII Questions (Part 5/8)

https://youtu.be/RqqXeHuHxV8

Board questions solved (Part 6+7/8)

https://youtu.be/-KwoIgK78Os

5 COMMON ERRORS in Inverse Trigonometry along with its application

https://youtu.be/bB7jfqbf9Do