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Mathventure: Giant World of Little Mathematicians

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English Title Mathventure: Giant World of Little Mathematicians
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Feature

★ Visual Extravaganza: Historical document illustrations, mathematical concept diagrams, and engaging, instructive drawings.
★ Multi-dimensional Knowledge Integration: Blending the history of mathematics, formula derivation, geometry, logic, and puzzles.
★ Interdisciplinary Thinking Inspiration: Builds connections to the real world through art, biology, geometry, geography and sports.
- Art: The connection between mysterious portraits and the beautiful golden ratio.
- Biology: Sunflowers naturally embodying the Fibonacci spiral.
- Geography: How only four colors are needed to distinguish countries on a map.
- Geometry: How to plan a courier's non-repeating route (the Seven Bridges problem).
★ Authored by Dr. Chen Dong, Ph.D. from the Chinese Academy of Sciences, with a special recommendation from Yuan Guanghao, Data Scientist at Alibaba's Tianchi platform.

Description

Imagine the first rays of sunlight streaming through your curtain, casting a perfect Fibonacci spiral on the floor; the twinkling stars in the night sky following the elegant proportions of the golden ratio; each unique snowflake falling as a masterpiece of geometry. Mathematics is nature's most romantic poem.

In this book, we will take a stroll together through the garden of mathematics. You will discover that prime numbers are like solitary stars in the night sky, maintaining a mysterious distance from each other; infinity is like a never-ending adventure, inviting us to explore the unknown; and topology is like a magician's handkerchief, magically connecting a coffee cup and a donut.

Open it, and a child will measure the universe with geometry under the starry sky, cut pizza slices with fractions in the kitchen, and exclaim, "Math is this cool!"

Recommended by Alibaba data scientist Yuan Guanghao, this book presents the history of mathematics, formulas, geometry, and puzzles through large illustrations and engaging cartoons. It integrates interdisciplinary knowledge from art and biology, turning history, art, and biology into a playground of mathematics. With one book, it ignites the reader's passion for learning and provides an easy entry into the world of math.

In this book, readers can see the world from the shoulders of giants and unlock the secrets of mathematics – understanding the development of mathematical history and witnessing the birth of formulas, theorems and corollaries.

Contents

**Table of Contents**

**Part 1 The Origins of Numbers and Operations**
How Did Numbers Come About? 002
Number Base Systems 008
Basic Mathematical Operation Symbols 012
Rational Numbers 015
Numbers Arising from Paradoxes 019
Prime Numbers 023
Imaginary Numbers and Complex Numbers 028
The Golden Ratio 031
The Number Pyramid 034

**Part 2 A World Full of Formulas and Symbols**
The Circumference Ratio π (Pi) 040
The Pythagorean Theorem 045
Euler's Formula 050
The Lever Principle 054
The Triangle Angle Sum Theorem 058
The Law of Universal Gravitation 063
The Binomial Theorem 069
Wave-Particle Duality 073
Relativity 078
The Normal Distribution 083

**Part 3 Intriguing Problems and Figures**
The Tree Planting Problem 088
The Rabbit Breeding Problem (Fibonacci's Rabbits) 093
The Chicken and Rabbit in the Same Cage Problem 097
The Seven Bridges of Königsberg Problem 099
The Four Color Problem 105
Fractal Geometry 108
Curious Tiling/Puzzles 114
Magical Division/Section 119
Tetrominoes / Polyomino Puzzles 124
The Secret of the Honeycomb 128
The Chinese Remainder Theorem 131
The Problem of Apollonius 134

**Part 4 Perplexing Puzzles and Logic**
The Mystery of the Tangram 142
Sudoku Puzzles 145
The Magic of Magic Squares 151
Logic and Reasoning Games 155
Permutations and Combinations 161
Developments (Nets) and Cross-Sections 166
Three-Dimensional Views 173
Optical Illusions 179
Matchstick Games 182
String/Knot Games 186

**Part 5 Minds That Changed the World**
Euclid 192
Archimedes 196
Diophantus 199
Fermat 202
Euler 206
Gauss 209
Riemann 212
Hua Luogeng 217
Chen Jingrun 219

**Part 6 How Mathematics Changes the World**
Mathematics in Space Flight 224
Mathematics in Cryptography 227
Mathematics in Painting 231
Mathematics in Economics 234
Mathematics in Sports 238
Mathematics in Music 242
Mathematics in Astronomy 246

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