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 Triangle Rhyme
Johnson Solids	Proof that there are exactly 13 Archimedean Solids

Graphs 图
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 = xp/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	Proof That There Are 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

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