CONTENTS

1　Math Story and Strategies

1.1 THE NUMBER π

1.2 THE NUMBER e

1.3 INEQUALITIES FOR CONVEX FUNCTION

2 The History

2.1 THE INTEGRAL

2.2 THE DIFFERENTIAL

2.3 THE CALCULUS

2.4 SHORT BIOGRAPHIES

3 The Algebra

3.1 NOTATIONS AND A REVIEW OF NUMBERS

3.2 LINEAR ALGEBRA

3.3 MATRIX ALGEBRA

3.4 EIGENVALUES AND EIGENVECTORS

4.1 INTRODUCTION TO PROBABILITY

4 Probability

5 Selected Problems

5.1 THE REAL NUMBER SYSTEMS

5.2 SELECTED PROBLEMS FROM THE INFINITE SERIES

5.3 DIFFERENTIAL EQUATION

5.4 FERMAT'S LAST THEOREM

5.5 REVEALING GOLDBACH CONJECTURE

6.1 MATHEMATICS IN TODAY'S FINANCIAL MARKETS

6 Others

6.2 MATHS AND MOTHS

6.3 RECKONING AND REASONING

6.4 AM I REALLY SICK?

7 Vector Space Some Problems Over Skewfield

7.1 BASIC CONCEPT

7.2 PROPERTY OF TRANSVECTION

7.3 QUASICENTER MATRIX

Vocabulary Index