Combinatorics first steps.
Perestyuk, Mykola,
Combinatorics first steps. - 1 online resource (352 pages). - Computational Mathematics and Analysis .
Description based upon print version of record.
Includes bibliographies and index.
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 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 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
9781685072971
Combinatorial analysis.
Electronic Books.
QA164 / .C663 2021
Combinatorics first steps. - 1 online resource (352 pages). - Computational Mathematics and Analysis .
Description based upon print version of record.
Includes bibliographies and index.
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 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 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
9781685072971
Combinatorial analysis.
Electronic Books.
QA164 / .C663 2021