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- Title: Combinatorics
- Author(s) Joy Morris
- Publisher: University of Lethbridge, 2023; eBook (Creative Commons Licensed)
- License(s): Creative Commons License (CC)
- Hardcover/Paperback: N/A
- eBook: PDF (357 pages)
- Language: English
- ISBN-10: N/A
- ISBN-13: N/A
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This book emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, PĆ³lya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs).
About the Authors- Joy Morris is a Canadian mathematician whose research involves group theory, graph theory, and the connections between the two through Cayley graphs.
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Combinatorics Through Guided Discovery (Kenneth P. Bogart)
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as 'counting'.
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Introduction to Ramsey Theory (Veselin Jungic)
This book serves as a gentle introduction to Ramsey Theory for readers interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics.
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Applied Combinatorics (Mitchel T. Keller, et al)
This is a text with more than enough material for a one-semester introduction to combinatorics. The original target audience was primarily computer science majors, but the topics included make it suitable for a variety of different students.
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Analytic Combinatorics (Philippe Flajolet, et al)
The definitive treatment of analytic combinatorics. This self-contained text covers the mathematics underlying the analysis of discrete structures, with thorough treatment of a large number of applications.
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An Introduction to Combinatorics and Graph Theory
This book walks the reader through the classic parts of Combinatorics and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques.
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Foundations of Combinatorics with Applications (Edward Bender)
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics.
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Combinatorial Theory (Gian-Carlo Rota, et al.)
Everything you could possibly need to know about combinatorics is in this book. It is extremely clear, well-written, and there are plenty of examples that really help to connect the principles to real-world applications.
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Lists, Decisions and Graphs - With an Introduction to Probability
In this book, four basic areas of discrete mathematics are presented: Counting and Listing (Unit CL), Functions (Unit Fn), Decision Trees and Recursion (Unit DT), and Basic Concepts in Graph Theory (Unit GT).
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Magic Squares and Cubes (William Symes Andrews)
This book cover topics such as magic squares, magic cubes, the Franklin squares, magics and Pythagorean numbers, the theory of reversions, magic circles, spheres, and stars, and magic octahedroids, among other things.
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Combinatorial Geometry with Application to Field Theory
Topics covered in this book include fundamental of combinatorics, algebraic combinatorics, topology with Smarandache geometry, combinatorial differential geometry, combinatorial Riemannian submanifolds, Lie multi-groups, etc.
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A=B, by Marko Petkovsek, Herbert S. Wilf, et al
This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations.
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