Algorithms Designing A Simple Algorithm From elementary mathematics, we are familiar with the four basic mathematical operations associated with numbers - addition, subtraction, multiplication and division. There are many kinds of numbers in mathematics with Julia Fisher 15 Jun 2020 • 9 min read

mathematics A Derivation of Euler's Formula Leonhard Euler (15 April 1707 – 18 September 1783) was a Swiss mathematician, who is considered to be one the greatest mathematicians of all time. He is also considered to be Julia Fisher 30 May 2020 • 4 min read

Physics A Practical Guide To Making A Scientific Breakthrough Albert Einstein has been one of the most celebrated scientists of all time. It is funny, that his ideas are also, among the most difficult to understand, and many people Julia Fisher 18 May 2020 • 16 min read

mathematics A Method of Counting The Number of Solutions Linear algebraic equations are one of the simplest equations that we can solve. If there is only one variable, then the solutions are trivial to obtain, while for a system Julia Fisher 26 Apr 2020 • 5 min read

Physics A 42 Minute Fantasy Ride The classic 1864 science fiction novel by Jules Verne, titled "Journey to the Center of the Earth" has mesmerized many generations. The desire to discover the secrets inside Julia Fisher 20 Apr 2020 • 7 min read

Calculus We Can Put 1 = 0, Right? The first experience with calculus is usually quite memorable for most of us. For some it introduces a tool of immense beauty and seemingly infinite potential to solve problems - Julia Fisher 13 Apr 2020 • 2 min read

Geometry Ptolemy's Incredible Theorem - Part 2 In part-1 of the series, we proved Ptolemy's theorem, and saw that its was really useful in proving various other well known mathematical facts. It turns out that the theorem Julia Fisher 12 Apr 2020 • 3 min read

Geometry Ptolemy's Incredible Theorem - Part 1 Ptolemy was an ancient astronomer, geographer, and mathematician who lived from (c. AD 100 – c. 170). He is most famous for proposing the model of the "Ptolemaic system" Julia Fisher 10 Apr 2020 • 5 min read

mathematics A Formula For Fibonacci Sequence Fibonacci numbers are one of the most captivating things in mathematics. They hold a special place in almost every mathematician's heart. Throughout history, people have done a lot of research Julia Fisher 1 Apr 2020 • 5 min read

mathematics Mighty Ruler Conquers Quadratic Equations The methods of finding roots of a quadratic equations are quite easy and are very well understood. There are all kinds of approaches available, like algebraic, geometrical, graphical etc. The Julia Fisher 29 Mar 2020 • 6 min read

Physics The "Unreal" Math Behind Catching A Bus One of the classic applications of equations of motion while studying Newtonian mechanics is to find the time required by a person running after an accelerating bus to catch. The Julia Fisher 27 Mar 2020 • 8 min read

Calculus A Pragmatic Approach to Calculus - Part 1 Calculus is one of the most revolutionary ideas ever developed. It has been used in practically all branches of mathematics and sciences. It is one of those branches of mathematics Julia Fisher 25 Mar 2020 • 11 min read

Geometry What is an Angle? Introduction The idea of an angle is one of the most fundamental in geometry. It comes naturally while studying properties of triangles where we establish the connection between its sides Julia Fisher 16 Mar 2020 • 7 min read

Geometry Geometrical Constants - Part 3 In the previous part, we extended the idea of the geometrical constant $\mathcal{C}$ to a square and showed that the values of $\mathcal{C}$ increases with the number of Julia Fisher 11 Mar 2020 • 5 min read

Geometry Geometrical Constants - Part 2 In the previous part, we obtained a geometrical constant for an equilateral triangle, and its value was approximately 5.196. In the second part, we will continue the calculations.. Julia Fisher 6 Mar 2020 • 2 min read

Geometry Geometrical Constants - Part 1 Introduction What is a constant? It is an idea or an object that does not change under a set of well defined rules. What makes a constant super interesting? When Julia Fisher 6 Mar 2020 • 4 min read

mathematics A clever formula for Logarithm A lesser known method of finding log of a number without using the tables Julia Fisher 7 Feb 2020 • 2 min read