Interesting Aspects of Mathematics 趣味数学
www.ywhmaths.webs.com

I hope that from this website, you will find Mathematics interesting and easy to learn!

Algebra

Analysis

Arithmetic

Combinatorics

Complex Numbers

Fractals

Games

Geometry

Graphs

Java

JavaScript

Mechanics

Number Theory

Puzzles

Python

Statistics

Tessellation

Trigonometry

Archive of Comments






Algebra 代数


Permutation Groups


Groups of Small Orders

Sylow's Theorems


Rings and Fields


Rings of Small Orders


Semigroups


Semigroups of Small Orders


Analysis 微积分


Differential Operator

l'Hopital's Rule

Remainder Term of Maclaurin Series

Convergence Tests For Series

Integration by Substitution

Line Integral

Laplace Transform


Arithmetic 算术


Factorial


Fraction


Fibonacci Numbers


Fibonacci Identities


The 4 Fours Problem


Highest Common Factor


The Lonely 8 Puzzle


Magic Squares


Generating Order 4 Magic Squares


My Mechanical Calculator

How to Add
How to Subtract
How to Multiply
How to Divide


Pascal's Triangle


Roman Numerals

RMS-AM-GM-HM Inequality

The Method of Mathematical Induction

Savings Problems

The "Send More Money" Puzzle


Combinatorics 组合数学

Random Walk in 1 Dimension

Random Walk in 2 Dimensions

Poker Hands

Distribution Problems

The Worst Postman Problem

Kirkman's Schoolgirls Problem


Complex Numbers 复数


Arc

Application of de Moivre's Theorem

Functions of Complex Numbers


Fractals 分形


Blancmange Curve


Hilbert Curve


Levy C Curve


Sierpinski Curve


Sierpinski Triangle


Kock Snowflake


Self Similarity


Landscape


Trees


Games 游戏


Checkers


Chess


Chess for Kids


Chinese Chess


Chinese Chess (Slow)


Conway's Game of Life


Othello / Reversi


Tic Tac Toe


Geometry 几何


Angle Properties of a Circle


Sum of Interior Angles of a Polygon


Arc Length


Exterior Angles of a Polygon


Pick's Theorem


Triangle


Johnson Solids


Proof that there are exactly 13 Archimedean Solids



Graphs


Construction of Conics


Cycloid


Convergence of Fixed Point Iteration


Fourier Series


General Form of the Equation of Conics


Graphs of y = |f(x)|, f(|x|), 1/f(x), √f(x)


Hyperbolic Functions


y = x
p/q


Rational Functions


Graph Theory 图论


Complement of Graph


Minimum Spanning Tree

Graphs of Small Orders

Trees of Small Orders


Java
If you wish to learn Java, try out each of the applets below. Source codes are all provided.


How to Create a Java applet


How to Create an Android App

Animate

Buttons

Checkboxes

Conditions

Choices

Draw an Image

Loops

Click the Mouse

Drag the Mouse

Enter the Mouse

Move the Mouse

Press the Mouse

Operators

Radiobuttons

Rainbow

Random Shapes

Run a Thread

Scroll Bar

Scroll Bars in Colour

Shapes

Stars

Strings

Text Field and Text Area

Variables


JavaScript
On your laptop/desktop, you can right-click to view the javascript source codes.


Addition


Animation


Button


Checkbox


Date of Birth


Draw


Dropdown List


List Box


Password


Radio Button


Slider


Textbox


Touch


Hot Air Balloon


HTML Reference

LaTeX Commands


Mechanics 力学


Collision


Conical Pendulum


Connected Particles


Elastic String


Equilibrium of Forces


Horizontal Circular Motion


Linear Motion


Power


Projectile


Vertical Circular Motion


Vertical Spring


Number Theory 数论


Chinese Remainder Theorem


Continued Fractions


Euclidean Algorithm


Fermat-Euler Theorem


Highly Composite Numbers


Linear Congruence


Number Theoretic Functions


Pell's Equation


Prime Factorisation


Prime Numbers


Quadratic Residues


Summary of Quadratic Residues


Waring's Problem


A Special Pandigital Number


Puzzles 益智游戏


Tower of Hanoi


1x3x3 Floppy Cube


Gari Garikun Puzzle


2x2x2 Pocket Cube


2x2x3 Tower Cube


2x3x3 Rubik's Domino


Rubik's Cube


Octagon / Cylinder


Mirror Cube


Void Cube


Gear Cube


Gear Shift


Pyraminx


Dino Cube


Skewb


Back To Square One


Square Two


MasterBall


Rubik's Cheese


Sudoku Cube


4x4x4 Master Cube


5x5x5 Professor Cube


6x6x6 Cube


Megaminx


Who owns the Zebra?


The Governor of Kgovjni Puzzle


The 12 coin Problem


Langley's Adventitious Angle


Python

Install Python from https://www.python.org/downloads/ and open the following source codes:

Factorial

Lists

Loops

Operators

Prime Factorisation

Prime Numbers

Sets

Strings


Statistics 统计学


Negative Binomial & Hypergeometric Distributions


Normal Approximation


Sampling Methods

Derivation of Distributions

Samples

Summary of Hypothesis Tests

Analysis of Variance

Non-Parametric Tests

Here are some Microsoft Excel Simulations to run on your laptop/desktop: (Click each link and press F9 on your keyboard)

Binomial approaches Poisson

Binomial approaches Normal

Poisson approaches Normal


Tessellation 平面填充


17 Wallpaper Tessellations

17 Wallpaper Groups

Ambigrams by Scott Kim


Trigonometry 三角学


Complementary & Supplementary Angles


R Formula


Sine Rule & Cosine Rule


Small Angles


Special Angles


Trigonometric Equations


Trigonometric Equations (Graphical)


Trigonometric Functions


Trigonometric Graphs


3D Trigonometry





To my Homepage




To H2 Mathematics Page




To my Science Page




To my World page