Combinatorics first steps.

By:

Perestyuk, Mykola [Author]

Contributor(s):

Vyshenskyi, Volodymyr []

Material type: Text

TextSeries: Description: 1 online resource (352 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781685072971

Subject(s):

Combinatorial analysis

Genre/Form:

Electronic Books.

LOC classification:

QA164 .C663 2021

Online resources:

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Available additional physical forms:

Contents:

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

1.3. 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

2. Trajectories in a Circle with Self-Intersections -- Problems -- Chapter 7Trees -- Problems -- AUTHORS'CONTACT INFORMATION -- INDEX -- Blank Page -- Blank Page

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Holdings
Item type	Current library	Collection	Call number	URL	Status	Date due	Barcode
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)	G. Allen Fleece Library ONLINE	Non-fiction	QA164 (Browse shelf(Opens below))	Link to resource	Available		on1285170197

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

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