| Description |
1 online resource (352 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Computational Mathematics and Analysis
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Computational mathematics and analysis series.
|
| Note |
Description based upon print version of record. |
| Contents |
Intro -- COMBINATORICSFIRST STEPS -- COMBINATORICSFIRST STEPS -- Contents -- Preface -- Introduction -- Chapter 1Elementary Enumerations ofCombinations -- 1. What is Combinatorics? -- Problems -- 2. Combinatorial Rule of Product -- Problems -- 3. Bijection. Combinatorial Bijection Principle -- Problems -- 4. Recurrence -- 4.1. Sequences -- 4.2. Definition of a Sequence by a Recurrence Relation -- 4.3. Relation between Recursive and Direct Formulas -- 4.4. Recurrence Relations in Combinatorial Problems -- Problems -- Chapter 2Basic Concepts of Set Theory -- 1. Sets -- 1.1. The Notion of a Set |
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1.2. Subsets -- 1.3. Intersection -- 1.4. Union -- 1.5. Difference -- 1.6. Complement -- 1.7. Cartesian Product -- 2. Correspondence -- 2.1. Mapping -- Problems -- Chapter 3Basic Combinatorial Structures -- 1. Order. Permutations -- 2. Tuples -- 3. Subsets -- 4. Numbers Ckn: Combinatorial and Computational Aspects -- Problems -- 5. Properties of Binomial Coefficients Ck -- Problems -- 6. Raising Binomials to Powers. Newton's Binomial Formula -- Problems -- Chapter 4Paths in a Rectangle -- Problems -- Chapter 5Inclusion-Exclusion Principle -- Problems -- Chapter 6Trajectories Inside a Circle |
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1. Zigzags in a Circle without Self-Intersections -- 2. Trajectories in a Circle with Self-Intersections -- Problems -- Chapter 7Trees -- Problems -- AUTHORS'CONTACT INFORMATION -- INDEX -- Blank Page -- Blank Page |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Combinatorial analysis.
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Combinatorial analysis. |
| Added Author |
Vyshenskyi, Volodymyr, author.
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| Other Form: |
Print version: Vyshenskyi, Volodymyr Combinatorics: First Steps New York : Nova Science Publishers, Incorporated,c2021 9781685071523 |
| ISBN |
1685072976 |
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9781685072971 (electronic book) |
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