Fred S. Roberts, Barry Tesman

Applied Combinatorics, Third Edition (eBook, PDF)

• Format: PDF

Produktbeschreibung

The third edition of this popular text presents the tools of combinatorics for a first undergraduate course.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 600
• Erscheinungstermin: 3. Juni 2024
• Englisch
• ISBN-13: 9781040120293
• Artikelnr.: 72251182

Autorenporträt

Fred S. Roberts is Distinguished Professor, Department of Mathematics, Rutgers University, New Brunswick, NJ; Director Emeritus and Special Advisor of DIMACS, Center for Discrete Mathematics and Theoretical Computer Science; Director of Department of Homeland Security Center of Excellence CCICADA: Command, Control and Interoperability Center for Advanced Data Analysis; Fellow of RUTCOR, Rutgers Center for Operations Research, New Brunswick, NJ.; Member of Graduate Faculties in Mathematics, Operations Research, Computer Science, Computational Molecular Biology, Computational Biology and Molecular Biophysics, Education, and Industrial and Systems Engineering at Rutgers University; Chair, Rutgers University Homeland Security Research Initiative (RUHSRI); Co-Chair, NJ Universities Consortium for Homeland Security Research Barry Tesman is Professor of Mathematics at Dickinson College.

Inhaltsangabe

Chapter 1: What Is Combinatorics? THE BASIC TOOLS OF COMBINATORICS Chapter 2: Basic Counting Rules
Chapter 3: Introduction to Graph Theory
Chapter 4 Relations
THE COUNTING PROBLEM Chapter 5: Generating Functions and Their Applications
Chapter 6: Recurrence Relations
Chapter 7: The Principle of Inclusion and Exclusion
Chapter 8: The Pólya Theory of Counting
THE EXISTENCE PROBLEM Chapter 9: Combinatorial Designs
Chapter 10: Coding Theory
Chapter 11: Existence Problems in Graph Theory
COMBINATORIAL OPTIMIZATION Chapter 12: Matching and Covering
Chapter 13: Optimization Problems for Graphs and Networks
Appendix: Answers to Selected Exercises
Author Index
Subject Index
References appear at the end of each chapter.