Calendars have very decent stories and since this blog is based on mathematical approach, let we talk about the mathematical aspects of calendars. The Calendar We Use The international calendar we use is called Gregorian Calendar, said to be created by Pope Gregory XIII. Gregorian calendar was introduced in 80s of 16th century, to be…

# Math

**Mathematics Blog by Gaurav Tiwari.** This section is dedicated to exploring various mathematical concepts and theories, transcending the boundaries of traditional high school and early college curriculums.

The mathematics topics here encompass various subfields, including algebra, calculus, number theory, geometry, topology, and more.

Before we hop on to the concept of Equations, let's understand why these are used and applied. And then we will walk through the subject matter. Application of Equations Applied mathematics is one that is used in day-to-day life, in solving troubles (problems), or in business purposes. Let me write an example: George's Money George…

If mathematics was a language, logic was the grammar, numbers should have been the alphabet. There are many types of numbers we use in mathematics, but at a broader aspect we may categorize them in two categories: 1. Countable Numbers 2. Uncountable Numbers The numbers which can be counted in nature are called Countable Numbers…

What is Logic? If mathematics is regarded as a language, then logic is its grammar. In other words, logical precision has the same importance in mathematics as grammatical accuracy in a language. As linguistic grammar has sentences, statements--- logic has them too. After we discuss Sentence & Statements, we will proceed to further logical theories.…

In this note/article, I will discuss what Fermat Numbers are and what some important theorems & examples are associated with them. Definition and Examples Fermat Numbers, a class of numbers, are the integers of the form $ F_n=2^{2^n} +1 \ \ n \ge 0$ . For example: Putting $ n := 0,1,2 \ldots$ in $…

Two close friends, Robert and Thomas, met again after a gap of several years. Robert Said: I am now married and have three children. Thomas Said: That's great! How old they are? Robert: Thomas! Guess it yourself with some clues provided by me. The product of the ages of my children is 36. Thomas: Hmm...…

Are you a math major looking for some social networks to join? If you are one, you are at the right place. In this article, I have listed some of the best social networks for math majors that you join. Math or Mathematics is not as difficult as it is thought to be. Mathematical Patterns,…

Before my college days I used to multiply this way. But as time passed, I learned new things. In a Hindi magazine named "Bhaskar Lakshya", I read an article in which a columnist ( I can't remember his name) suggested how to multiply in single line (row). That was a magic to me. I found doing multiplications…

Multiplication is probably the most important elementary operation in mathematics; even more important than usual addition. Every math-guy has its own style of multiplying numbers. But have you ever tried multiplicating by this way? Exercise: $ 88 \times 45$ =? Ans: as usual :- 3960 but I got this using a particular way: 88 …

Let have a Test: You need to make a calculation. Please do neither use a calculator nor a paper. Calculate everything "in your brain". Take 1000 and add 40. Now, add another 1000. Now add 30. Now, add 1000 again. Add 20. And add 1000 again. And an additional 10. So, You Got The RESULT!…

Problem1: Smallest Autobiographical Number: A number with ten digits or less is called autobiographical if its first digit (from the left) indicates the number of zeros it contains,the second digit the number of ones, third digit number of twos and so on. For example: 42101000 is autobiographical. Find, with explanation, the smallest autobiographical number. Solution…

Part I: A fox chases a rabbit. Both run at the same speed $ v$ . At all times, the fox runs directly toward the instantaneous position of the rabbit , and the rabbit runs at an angle $ \alpha $ relative to the direction directly away from the fox. The initial separation between the…