- 作 者：胡光国，冯卓编
- 出 版 社：北京：人民教育出版社
- 出版年份：1981
- ISBN：9012·0118
- 标注页数：394 页
- PDF页数：400 页
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CONTENTS 1
Lesson 1 What Is Mathematics? 1
Reading Material:This Is Mathematics 9
Lesson 2 The Birth and Growth of Measurement 13
Reading Material:The Story of Units o Length 21
Lesson 3 Geometry 27
Reading Material:The Circle-Measurements by The Ancient Chinese Mathematieians 37
Lesson 4 Isaac Newton and Grottried Wilhelm Leibniz 42
Reading Material:Karl Friedrich Gauss and René Descartes 52
Lesson 5 Using Statistics Today and Tomorrow 60
Reading Material:Statistics:Making Sense Out of Data 68
Lesson 6 Graphs for Many Purposes 73
Reading Material:Sets:A Useful Mathematical Idea 83
Lesson 7 Preface to"A History of Mathematics" 87
Reading Material:Foreword to"A History of Mathematics" 99
Lesson 8 Preface to"Ordinary Differential Equations" 105
Reading Material:Phase Spaces Examples of Evolutionary Processes 113
Lesson 9 Sets 119
Reading Material:Sets 127
Lesson 10 Axioms,Definitions,and Theorems 133
Reading Material:Mathematics and the Physical World 141
Lesson 11 Mathematics and Science 146
Reading Material:Mathematics in Our World 155
Lesson 12 The Motivation for the Calculus 159
Reading Material:The Rise of Analysis 168
Lesson 13 Vectors 174
Reading Material:Basic Analytic Geometry 186
Lesson 14 Some New Uses of Determinants 192
Reading Material:Abstract Group Theory 202
Lesson 15 Galois Theory 209
Reading Material:Abel's Work on the Solution of Equations by Radicals 219
Lesson 16 On Different Degrees of Smallness 224
Reading Material:Infinity,Limits,Changing Quantities,and Calculus 234
Lesson 17 Some Unsolved Mathematical Problems 237
Reading Material:Developments In New Mathematics 248
Lesson 18 Preface to"Naive Set Theory" 253
Reading Material:Numbers 262
Lesson 19 Isomorphism 269
Reading Material:Equivalence 277
Lesson 20 The Beginning and Uses of Mathematics 282
Reading Material:Theory and Practice 293
Lesson 21 Preface to"Concepts of Calculus" 303
Reading Material:Mappings 313
Lesson 22 Chance or Probability 322
Reading Material:Probability,The Science of Chance 334
VOCABULARY 337
PHRASES AND EXPRESSIONS 385