数学专业英语PDF电子书下载

CONTENTS 1

1　Math Story and Strategies 1

1.1 THE NUMBER π 1

1.2 THE NUMBER e 5

1.3 INEQUALITIES FOR CONVEX FUNCTION 11

2 The History 24

2.1 THE INTEGRAL 24

2.2 THE DIFFERENTIAL 33

2.3 THE CALCULUS 42

2.4 SHORT BIOGRAPHIES 50

3 The Algebra 60

3.1 NOTATIONS AND A REVIEW OF NUMBERS 60

3.2 LINEAR ALGEBRA 68

3.3 MATRIX ALGEBRA 83

3.4 EIGENVALUES AND EIGENVECTORS 86

4.1 INTRODUCTION TO PROBABILITY 94

4 Probability 94

5 Selected Problems 103

5.1 THE REAL NUMBER SYSTEMS 103

5.2 SELECTED PROBLEMS FROM THE INFINITE SERIES 106

5.3 DIFFERENTIAL EQUATION 113

5.4 FERMAT'S LAST THEOREM 117

5.5 REVEALING GOLDBACH CONJECTURE 122

6.1 MATHEMATICS IN TODAY'S FINANCIAL MARKETS 129

6 Others 129

6.2 MATHS AND MOTHS 139

6.3 RECKONING AND REASONING 154

6.4 AM I REALLY SICK? 161

7 Vector Space Some Problems Over Skewfield 167

7.1 BASIC CONCEPT 167

7.2 PROPERTY OF TRANSVECTION 173

7.3 QUASICENTER MATRIX 177

Vocabulary Index 181