Introduction to Enumerative and Analytic Combinatorics.
Introduction to Enumerative and Analytic Combinatorics.
About this item
Full title
Author / Creator
Publisher
Milton : CRC Press LLC, 2025.
Alternative title
Record Identifier
MMS ID
Language
English
Formats
Physical Description
Physical content
1 online resource (567 pages)
Content type
text
Media type
computer
Carrier type
online resource
Contents
Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Dedication -- Contents -- Foreword to the first edition -- Preface to the third edition -- Acknowledgments -- Frequently used notation -- I. Methods -- 1. Basicmethods -- 1.1. When we add and when we subtract -- 1.1.1. When we add...
3.1.1. Generalized binomial coefficients -- 3.1.2. Formal power series -- Quick Check -- 3.2. Warming up: Solving recurrence relations -- 3.2.1. Ordinary generating functions -- 3.2.2. Exponential generating functions -- Quick Check -- 3.3. Products of generating functions -- 3.3.1. Ordinary generat...
5.4.1. Chromatic polynomials -- 5.4.2. Colored graphs -- Quick Check -- 5.5. Graphs and generating functions -- 5.5.1. Trees counted by Cayley's formula -- 5.5.2. Rooted trees -- 5.5.3. Connected graphs -- 5.5.4. Eulerian graphs -- Quick Check -- 5.6. The Lagrange Inversion Formula -- Quick Check --...
Quick Check -- 8.4. Counting symmetric structures -- Quick Check -- 8.5. Notes -- 8.6. Chapter review -- 8.7. Exercises -- 8.8. Solutions to exercises -- 8.9. Supplementary exercises -- 9. Sequences in combinatorics -- 9.1. Unimodality -- Quick Check -- 9.2. Log-concavity -- 9.2.1. Log-concavity imp...
Publication information
Publisher
Milton : CRC Press LLC, 2025.
Edition
3rd ed.
Date Published
2025.
More information
Scope and Contents
Summary
These award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The author's goal is to make combinatorics more accessible to encourage student interest and to expand the number of students studying this rapidly expanding field.
Alternative Titles
Full title
Introduction to Enumerative and Analytic Combinatorics.
Variant title
BOOK
Authors, Artists and Contributors
Author / Creator
Notes
General note
Discrete Mathematics and Its Applications Series
Issued As
9781032302706
1032302704
Contextual Information
Date Copyright
©2025.
Identifiers
Primary Identifiers
Record Identifier
74VKLqQAM3Pd
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/74VKLqQAM3Pd
Other Identifiers
ISBN
1040312152
9781003304272
1003304273
9781040312179
1040312179
9781040312155
DDC
511/.62
MMS ID
991024648601002626
