书籍详情
组合数学:专题、技术与算法(英文版)
作者:(英)卡梅伦 著
出版社:人民邮电出版社
出版时间:2009-08-01
ISBN:9787115210876
定价:¥59.00
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内容简介
这本优秀的组合数学教材是作者20多年研究和教学经验的结晶。全书分成初级篇和高级篇两个部分,共18章内容,每章都以“专题一技术一算法”的模式呈现,阐述深入浅出,简明易懂。本书几乎涵盖了组合数学中所有有趣的主题,如中国邮递员问题、中国的九连环问题、友谊定理等,当然也收集了若干前沿内容。本书适合作为高等院校高年级本科生与低年级研究生的组合数学课程教材,也适合各理工学科科研人员参考。
作者简介
Peter J.Cameron,世界著名组合数学家,伦敦大学玛丽皇后学院纯数学中心主任,现任英国组合数学委员会主席,1971年牛津大学博士毕业,师从Peter M.Neumann。1979年获得伦敦数学会颁发的怀德海奖(Whitehead Prize),2003年获得欧拉奖。已发表学术论文250多篇。
目录
1. What is Combinatorics?
2. On numbers and counting
3. Subsets, partitions, permutations
4. Recurrence relations and generating functions
5. The Principle of Inclusion and Exclusion
6. Latin squares and SDRs
7. Extremal set theory
8. Steiner triple systems
9. Finite geometry
10. Ramsey's Theorem
11. Graphs
12. Posets, lattices and matroids
13. More on partitions and permutations
14. Automorphism groups and permutation groups
15. Enumeration under group action
16. Designs
17. Error-correcting codes
18. Graph colourings
19. The infinite
20. Where to from here?
Answers to selected exercises
Bibliography
Index
2. On numbers and counting
3. Subsets, partitions, permutations
4. Recurrence relations and generating functions
5. The Principle of Inclusion and Exclusion
6. Latin squares and SDRs
7. Extremal set theory
8. Steiner triple systems
9. Finite geometry
10. Ramsey's Theorem
11. Graphs
12. Posets, lattices and matroids
13. More on partitions and permutations
14. Automorphism groups and permutation groups
15. Enumeration under group action
16. Designs
17. Error-correcting codes
18. Graph colourings
19. The infinite
20. Where to from here?
Answers to selected exercises
Bibliography
Index
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