# Chapter A: StoryArc

1.1 專博之爭

1.2 第二是沒有意思的

1.31 對策一

1.32 對策二

2. 軟硬智力

3.1 洗衣機與電飯煲

3.2 鱷魚與長頸鹿

July 31, 2007 (c) CHK2

# Contents Chapter 2

Contents
Preface 緣起

2 Applied Mathematics

2.1 Knowledge map: a Geography of Knowledge
2.1.1 Mathematical Physics and Theoretical Physics
2.1.2 Chemical Physics and Physical Chemistry
2.1.3 Collections and recollections

2.2 Dispersion
2.2.1 Why is there dispersion

2.3 Statistics
2.3.1 Statistics
2.3.2 Statistics extra
2.3.3 Statistics bonus
2.3.4 Statistics extra bonus

2.4 Pure Definition
2.4.1 Time
2.4.2 Newton, Leibniz, Einstein
2.4.3 Lee’s Pure Definition of Time

2.4.5 Time in a Machine
2.4.7 What time is it

2.5 Physicists’ Time Travel
2.5.1 Feynman’s Antiparticle
2.5.2 Feynman Diagrams
2.5.3 A particle that travels back in time
2.5.5 What will you see when a spaceship travels back in time

2.6 Writers’ Time Travel

2.7 Space Travel

2.8 Quantum Gravity

3 Storyline
4 Master
5 Writing
6 Doctor
7 Painting

A Storyarc

Bibliography 參考書目

July 24, 2007 (c) CHK2

# Contents

Contents
Preface 緣起

1.1 General Mathematics
1.1.1 Analytic and Synthetic
1.1.2 Logic and Pure Mathematics
1.1.3 Scene One
1.1.4 Scene Two
1.1.5 Contrast
1.1.6 What is Mathematics

1.2.1 Deduction and Induction
1.2.2 Mathematical Induction
1.2.3 數學歸納法
1.2.4 數學感應法

1.13 Newton’s Binomial Theorem
1.13.1 $\displaystyle{(1 + x)^{-1}}$

1.13.2 $\displaystyle{(1 + x)^{\frac{1}{2}}}$

1.16 Exercises

2 Applied Mathematics
3 Storyline
4 Master (On career planning)
5 Writing
6 Doctor (On studying skills)
A Storyarc

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July 21, 2007 (c) CHK2

# page iii

“`Through the long years
I sought peace.
I found ecstasy, I found anguish,
I found loneliness.
I found the solitary pain
that gnaws the heart,
But peace I did not find.”‘
–Bertrand Russell

July 21, 2007 CHK2

# 應數頌讚

In praise of Applied Mathematics:

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Paper 1:

I: Theoretical Mechanics

1. Vectors in 2D and 3D
2. Statics
3. Kinematics
4. Newton’s laws of motion
5. Impact
6. Friction
7. Motion of a rigid body

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Paper 2:

II. Differential Equations

III. Numerical Methods

IV. Probability and Statistics

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2007.07.05 CHK2

# Spinoza

Wikipedia:

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Wikipedia:

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Russell’s History of Western Philosophy, on Spinoza:

Only ignorance makes us think that we can alter the future;

what will be will be,

and the future is as unalterably fixed as the past.

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2007.07.05 CHK2

# 51

1. 你曾經遇過一兩位，對你影響深遠的老師。

2. 忘記了

3. 你相信這個世界，光明與黑暗的比例，是51%:49%
就是這一個percent，令你想改變這個世界。
但深知個人的力量，非常有限，…

— 葉袓賢

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2007.07.01 CHK2