Archive for the ‘Mathematics’ Category
24 November 2015
![Wallis Product - new proof by quantum mechanics](https://www.intmath.com/blog/wp-content/images/2015/11/wallis-product_sm.png)
A quite remarkable new proof of the 400 year-old Wallis Product approximation for π has recently been published. It arises from a study of the quantum mechanics of a hydrogen atom.
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Posted in Mathematics category | One Comment »
29 October 2015
![Graph of cube root](https://www.intmath.com/blog/wp-content/images/2015/10/cubic.png)
Is there a difference between cube root and raising a number to the power 1/3? Maybe there is!
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Posted in Mathematics category | 6 Comments »
Tags: Graphs, Technology
23 September 2015
![A curve drawn using svgPHPGrapher](https://www.intmath.com/blog/wp-content/images/2015/09/pentic-curve.png)
When sketching mathematical functions on paper or computers, it's a good idea to have a sense of what the general shape of the curve is before you start. Sampling can lead to erroneous results.
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Posted in Mathematics category | 3 Comments »
Tags: Graphs, Technology
30 July 2015
![Newton's Method interactive graph](https://www.intmath.com/blog/wp-content/images/2015/07/newtons-method_th.png)
I added a new interactive graph that helps explain how Newton's Method works. Newton's Method uses differentiation to solve non-linear equations and is especially useful when we can't factor the equation. It's very commonly used by computers when solving math-based problems.
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Posted in Mathematics category | 2 Comments »
Tags: Graphs, Interactive, Technology
29 June 2015
![Family tree](https://www.intmath.com/blog/wp-content/images/2015/06/family-tree_th.png)
How many ancestors do you have? We all have 2 parents, 4 grandparents and 8 great grandparents. But does this go on forever?
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Posted in Mathematics category | 4 Comments »
Tags: Culture, Graphs, Real-world math
13 May 2015
![length of an equidistant spherical spiral](https://www.intmath.com/blog/wp-content/images/2015/05/spherical-spiral-rope-zen-garden-th.jpg)
How do we find the length of a spherical spiral, with equidistant spirals? Here's the solution to this interesting reader's question.
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Posted in Mathematics category | 9 Comments »
Tags: Culture, Graphs, Real-world math, Technology
28 April 2015
![The Information Paradox](https://www.intmath.com/blog/wp-content/images/2015/04/information-paradox2.jpg)
The Information Paradox is an interesting challenge to the accepted notions of how life on Earth came to be. There's some mathematics involved, too!
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Posted in Mathematics category | 3 Comments »
Tags: Graphs, Reviews, Thinking & learning
8 April 2015
![Hyperbolic and exponential discounting graph](https://www.intmath.com/blog/wp-content/images/2015/04/hyperbolic-exponential-discounting.png)
There's some interesting mathematics behind hyperbolic discounting, a behavioral finance concept. Here's how it compares to exponential discounting.
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Posted in Mathematics category | 9 Comments »
Tags: Graphs, Real-world math, Technology
9 March 2015
![Spring interactive applet using Runge-Kutter RK4](http://intmstat.com/applications-integration/spring-a2.png)
An updated spring applet uses Runge-Kutta Order 4 Method for solving a differential equation numerically.
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Posted in Mathematics category |
Tags: Graphs, Interactive, Technology
19 February 2015
![GeoGebra is a versatile math graphing tool](https://www.intmath.com/blog/wp-content/images/2015/02/geogebra-2a_sm.png)
GeoGebra impresses with its versatility, ease of use and power, and now has 3D graphs. It's a great exploratory tool for math students and instructors.
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Posted in Mathematics category | 4 Comments »
Tags: Graphs, Interactive, Technology
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