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作 者:(美)多西/(美)JohnA.Dossey/(美) John A. Dossey ... (等) 著
出 版 社:机械工业出版社
出版时间:2007-01
I S B N:9787111201670
| 本书凝聚了作者多年的研究成果和实践经验,是一本优秀的离散数学入门教材。本书充分考虑到初学者的需要,内容、例题、习题都经过精心的挑选和组织,讲解细致,循序渐进,实例贴近日常生活或计算机应用。本书注重算法,且算法描述独立于某种具体的编程语言。教师可根据学生的层次和兴趣来灵活拓展和组织讲解内容。 |
| PREFACE TO?THE?STUDENT 1?AN?INTRODUCTION?TO?COMBINATORIAL?PROBLEMS?AND?TECHNIQUES 1.1?TheTime?to?Complete?a?Project 1.2?A?Matching?Problem 1.3?A?Knapsack?Problem 1.4?Algorithms?andTheir?Efficiency Historical?Notes Supplementary?Exercises Computer?Projects Suggested?Readings 2?SETS,?RELATIONS,?AND?FUNCTIONS 2.1?Set?Operations 2.2?Equivalence?Relations 2.3?Partial?Ordering?Relations 2.4?Functions 2.5?Mathematical?Induction 2.6?Applications Historical?Notes Supplementary?Exercises Computer?Projects Suggested?Readings 3?CODING?THEORY 3.1?Congruence 3.2?The?Euclidean?Algorithm 3.3?The?RSA?Method 3.4?Error-Detecting?and?Error-Correcting?Codes 3.5?Matrix?Codes 3.6?Matrix?Codes?that?Correct?All?Single-Digit?Errors Historical?Notes Supplementary?Exercises Computer?Projects Suggested?Readings 4?GRAPHS 4.1?Graphs?andTheir?Representations 4.2?Paths?and?Circuits 4.3?Shortest?Paths?and?Distance 4.4?Coloringa?Graph 4.5?Direct |
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