Category Archives: Fun with Mathematics

Some practical uses of maths

  1. MPEG 4, audio/video/speech recognition/speaker identification/face recognition/HDTV and mp3 —- all these use logarithms and trigonometry. The special jargon is — Fourier Series, and Fourier Transforms.
  2. In finance, compound interest is calculated by using a power function; the inverse problem of finding the duration of deposit is calculated using logarithms.
  3. All (digital) phones are touch phones and they use DTMF (Dual Tone Multi Frequency) standard — implemented using sines and cosines.
  4. Quadratic equations are used to design/model/develop certain kind of electronic amplifiers.
  5. Probability theory is used in computer networks, routing of telephone calls, and also in Wall Street — stock market !!
  6. There are ways to compute the numerical value of the irrational number \pi up to a million digits and these ways are used to test the efficiency and efficacy of supercomputers.
  7. Quadratic equations are used to study projectile motion (or to put it playfully, suppose we throw a pebble at a certain angle from horizontal ground, (angle less than 90 degrees (which would mean vertically up)) — the projectile is subject only to the force of gravity of the earth — the path or curve or trajectory of the projectile is a parabole, which is characterized by a quadratic equation. This can be easily proved using laws of straight line motion in two dimensional using resolution of vectors.

More later,

Nalin Pithwa.

Math for Love: Daniel Finkel way !!! :-) :-) :-)

A math blog, I would request my students/readers to read and solve/contribute regularly:

https://mathforlove.com

https://mathforlove.com/2018/01/mathematician-at-play-puzzle-1/

Thanks Dan for allowing me to share your blog(s)/website(s)!

Nalin Pithwa.

Math in Australia :-) A Dingo ate my Math Book !

AMS (American Mathematical Society) link:

http://bookstore.ams.org/mbk-106/?_ga=2.200133421.246483269.1514729371-1691390747.1513651870

Amazon India link:

https://www.amazon.in/Dingo-Ate-Math-Book-Mathematics/dp/1470435217/ref=sr_1_1?s=books&ie=UTF8&qid=1514731044&sr=1-1&keywords=a+dingo+ate+my+math+book

comment: sheer joy…🙂 🙂 🙂

— I am just waiting for the book to be available in Amazon India. ! —- Nalin Pithwa.

Xmas prize from Colleen Young :-)

https://colleenyoung.wordpress.com/2017/12/24/diffy/

Merry Xmas and Happy Holidays!

Nalin Pithwa

The Association of Mathematics Teachers of India

https://www.amtionline.com/book_list

(I found this v nice organization and the list of its v cheap, high quality publications in Math for kids in a blog of Mr. Gaurish Korpal.)

Quite frankly, these mathematics teachers are doing/have done profound service to India’s budding, aspiring generations of child mathematicians!! 🙂 And, also to many parents in India, who mostly (in my personal opinion) think of only law, engineering, and medicine as the only respectable professions…:-( like Professor “Virus” of the famous movie, Three Idiots ! 🙂

Hats off to AMTI !!!

Nalin Pithwa.

Childhood Maths — Gaurish Korpal’s blog

https://gaurish4math.wordpress.com/2017/12/07/childhood-maths-i/

https://gaurish4math.wordpress.com/2017/12/14/childhood-maths-ii/

Inspirational to all kids, and hopefully, educative to Indian parents also, if I may add…

Thanks Mr. Gaurish Korpal.

from Nalin Pithwa.

Math is fun: website

https://colleenyoung.wordpress.com/2017/11/05/math-is-fun/

With thanks and regards to Colleen Young.

Household chores for mathematicians!!! :-)

https://blogs.scientificamerican.com/roots-of-unity/household-chores-for-mathematicians/?utm_source=feedburner&utm_medium=email&utm_campaign=Feed%3A+sciam%2Fmath+%28Topic%3A+Math%29

Thanks to Evelyn Lamb and Scientific American. 🙂

The infinite hotel paradox : due Jeff Dekofsky

This hardcore stuff about “infinity” , quite nicely, explained was pointed out to me by my ISC XII student, Mr. Utkarsh Malhotra! 🙂

 

A test about tests!

“We had to answer all the questions, just “Yes” or “No”.” Fran explained. “The first paper I got only five wrong.”

Ben smiled. “That sounds good. What about the other paper?”

“Tough, but the same number of questions,” the girl replied. “I got just a third of them wrong, so over all I got 75 percent right for the two papers.”

How many questions in each paper?

Cheers,

Nalin Pithwa.