Math Archives – Gaurav Tiwari

Best Time Saving Mathematics Formulas & Theorems

Last modified February 12, 2019 by Gaurav Tiwari | 3594 views

Formulas are the most important part of mathematics and as we all know one is the backbone of the latter. Considering there are thousands of mathematical formulas to help people develop analytical approach and solve problems easily — there are some that go beyond. Some formulas aren’t just timesaving but those also do wonders. In this article I have collected some of the finest time-saving formulas in mathematics. The calendar formula This formula is …

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The ‘new’ largest known Prime Number

Last modified February 13, 2016 by Gaurav Tiwari | 1424 views

Great Internet Mersenne Prime Search (GIMPS) group has reported an all new Mersenne Prime Number (a prime number of type $2^P-1$) which is, now officially the largest prime number ever discovered. This number is valued to a whopping $2^{74207281}-1$ and contains 22,338,618 digits. It is quoted as M747207281 and is almost 5 million digits longer than the previous record holding prime number M57885161. It took non-stop calculations of an i7 computer for …

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Solving Integral Equations (4) : Integral Equations into Differential Equations

Last modified October 27, 2017 by Gaurav Tiwari | 73622 views

Introduction In earlier parts we discussed about the basics of integral equations and how they can be derived from ordinary differential equations. In second part, we also solved a linear integral equation using trial method. Now we are in a situation from where main job of solving Integral Equations can be started. But before we go ahead to that mission, it will be better to learn how can integral equations be converted into differential …

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Test your counting skills with Branifyd game for Android

Last modified July 6, 2019 by Gaurav Tiwari | 1164 views

Without basic operations of counting, like Addition, Subtraction, Multiplication and Division, it is not possible to imagine math problems. Counting is the base of human life. A student, whether he’s a math major or not, must be good at counting numbers. The counting ability builds from experience and is definitely a time taking process. Larger you have given time on counting, better you become. This is why some students have better counting skills …

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This Prime Generating Product generates successive prime factors

Last modified August 31, 2014 by Gaurav Tiwari | 3170 views

Any integer greater than 1 is called a prime number if and only if its positive factors are 1 and the number p itself. The basic ideology involved in this post is flawed and the post has now been moved to Archives. - The Editor Prime Generating Formulas We all know how hard it is to predict a formula for prime numbers! They have extremely uncertain pattern at various number ranges. Some prime numbers may have difference of hundreds, while few …

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A Possible Proof of Collatz Conjecture

Last modified December 11, 2014 by Gaurav Tiwari | 50024 views

Our reader Eswar Chellappa has sent his work on the solution of '3X+1' problem, also called Collatz Conjecture. He had been working on the proof of Collatz Conjecture off and on for almost ten years. The Collatz Conjecture can be quoted as follow: Let $\phi : \mathbb{N} \to \mathbb{N}^+$ be a function defined such that: $$\phi(x):= \begin{cases} \frac{x}{2}, & \text{if } x \text{ is even } \\ 3x+1, & \text{ if } x \text{ is odd} …

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New Math Series: Selected Topics in Functional Analysis

Last modified August 31, 2014 by Gaurav Tiwari | 1307 views

This series of study notes is aimed for post-graduate (M.A/M.Sc.) students of Indian & international universities. The study of functional analysis can be started after basic topology and set theory courses. In this introductory article we will start with some elementary yet important definitions and notations from analysis. We will finish this article with the definition of Norm & Normed Linear spaces derivedfrom the notions of linear spaces. An …

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Meet the Math Blogger : Josh Young from Mathematical Mischief

Last modified May 17, 2016 by Gaurav Tiwari | 2343 views

Every mathematics student is in his own a special case — having his own qualities and snags. A math blogger is even more special. He is more than just a mathematician or just a blogger. A math blogger is an entertainer… a magician, who devises techniques of making math more readable and even more interesting. There are hundreds of such mathemagicians blogging about thoughtful and fun-aspects of mathematics. In this series of talks, called “Meet the Math …

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