最 低 价：￥129.60
定 价：￥144.00
作 者：Michael C. Gemignani 著 著
出 版 社：Oversea Publishing House
出版时间：2004-8-1
I S B N：9780486435060
| Chapter 1 Introduction 1.1 Abstraction and Mathematics 1.2 Mathematics and "Reality" 1.3 An Example 1.4 Mathematical Statements 1.5 Notation 1.6 On Rigor Chapter 2 introduction to Logic 2.1 Necessary and Sufficient Conditions 2.2 Negations 2.3 Mathematical Disproofs 2.4 Conjunction and Disjunction 2.5 Truth Tables 2.6 Logical Equivalence. Tautologies Chapter 3 More about Logic 3.1 Converses and Contrapositives 3.2 On the Validity of a Proof 3.3 Some Elementary Arguments 3.4 More Elementary Arguments 3.5 Proofs by Contradiction 3.6 Summary Chapter 4 Sets 4.1 The Notion of a Set 4.2 Set-Building Notation 4.3 Subsets. Equality of Sets 4.4 Union and Intersection 4.5 The Difference of Two Sets. Complements Chapter 5 Set Theory and Logic 5.1 Set Diagrams 5.2 Sets and Language. Venn Diagrams 5.3 Applying Set Theory to Arguments Chapter 6 Counting 6.1 The Notion of Counting 6.2 More About Infinity 6.3 More About Countable Sets 6.4 The Notion of Number 6.5 The Addition of Cardinal Numbers Chapter 7 The Cartesian Product. Functions 7.1 The Cartesian Product of Two Sets 7.2 The Multiplication of Cardinal Numbers 7.3 Functions 7.4 More About Functions 7.5 Composition of Functions Chapter 8 Relations 8.1 The Notion of a Relation 8.2 Equivalence Relations 8.3 A Definition of the Integers 8.4 0rderings Chapter 9 More about Total Ordering 9.1 The Ordering of the Integers, an Intuitive View 9.2 The Ordering of the Integers, a Formal View 9.3 Finite Induction 9.4 Another Definition of the Integers Chapter 10 Probability 10.1 The Nature of Probability 10.2 The Basic Rules of Probability 10.3 Methods of Assigning Probabilities 10.4 Sampling 10.5 Some Special Probabilities Chapter 11 An Elementary Geometry 11.1 The Projective Plane 11.2 Basic Properties of the Projective Plane 11.3 The Affine Plane Chapter 12 Conclusion Appendix Answer to Odd-Numbered Exercises Index of Symbols Index |
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