本书共7个单元，内容包括：数学史、数学分析、高等代数、概率论等学科中的基础经典问题以及有代表性的内容。
1 Math Story and Strategies 1.1 THE NUMBER π 1.2 THE NUMBER e 1.3 INEQUALITTES FOR CONVEX FUNCTION 2 The Histoy 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 Probability 4.1 INTRODUCTION TO 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 Othes 6.1 MATHEMATICS IN TODAY S FINANCIAL MARKETS 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
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