Gaurav Tiwari is one of the top Education bloggers online, specializing in exam preparation, online learning and career development. Read these articles to prepare yourself for college and beyond. Plus, learn to earn, save and grow yourself.
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…
Weierstrass introduced the idea that there exist functions that are continuous for every value of $x$ but do not possess a derivative at any value of $x$. We now consider the celebrated Weierstrass function, which exhibits this property. In this note, I will demonstrate that such a function exists using Weierstrass’s construction. The Weierstrass Function…
Memory is the human ability to store, retain, and recall information when needed. Instead of getting lost in technical definitions, let’s explore ten practical methods to enhance your memory: 1. Simple Repetition Method This classical method is widely used for memorizing poems or any text by reading it repeatedly. The more you read, the more…
In this list, I have collected all useful and important free online calculus textbooks, mostly in downloadable pdf format. Feel free to download and use these. Elementary Calculus : An approach using infinitesimals by H. J. Keisler https://www.math.wisc.edu/~keisler/keislercalc-12-23-18.pdf Multivariable Calculus by Jim Herod and George Cain http://people.math.gatech.edu/~cain/notes/calculus.html Calculus by Gilbert Strang http://ocw.mit.edu/ans7870/textbooks/Strang/strangtext.htm Calculus Bible by…
Let $ \mathbf{Q}$ be the set of rational numbers. It is well known that $ \mathbf{Q}$ is an ordered field and also the set $ \mathbf{Q}$ is equipped with a relation called “less than” which is an order relation. Between two rational numbers there exists an infinite number of elements of $ \mathbf{Q}$. Thus, the system…
Looking for Free Algebra and Topology PDF E-books? I’ve compiled a comprehensive list of high-quality, free e-books covering Algebra, Topology, and other related mathematics topics. These resources are ideal for both students and teachers seeking valuable content for their studies or teaching. Download these now and enhance your learning experience! Let’s start. Abstract Algebra Online by…
