Digital library
Textbooks, references and open learning resources.
External
Combinatorics Through Guided Discovery
Kenneth P. Bogart · Dartmouth University
In the contents: 01: What is Combinatorics · 1.04: What is Combinatorics (Exercises) · 02: Induction and Recursion
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Elementary Number Theory
Wissam Raji · American University of Beirut
In the contents: 1.02: The Well Ordering Principle and Mathematical Induction · 1.03: Divisibility and the Division Algorithm · 2.06: The function x. the symbols O o and
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Discrete Mathematics
Oscar Levin · University of Northern Colorado
In the contents: 0: Introduction and Preliminaries · 0.1: What is Discrete Mathematics · 0.E: Introduction and Preliminaries (Exercises)
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Elementary Number Theory
Mike Barrus & W. Edwin Clark · University of Rhode Island
In the contents: 1.06: The Floor and Ceiling of a Real Number · 1.07: Greatest Common Divisor and Least Common Multiple · 1.14: Fermat Primes and Mersenne Primes
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A Spiral Workbook for Discrete Mathematics
Harris Kwong · State University of New York at Fredonia
In the contents: 01: Introduction to Discrete Mathematics · 1.01: An Overview of Discrete Mathematics · 1.03: How to Read and Write Mathematics
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Yet Another Introductory Number Theory Textbook - Cryptology Emphasis
Jonathan A. Poritz · Colorado State University – Pueblo
In the contents: 01: Well-Ordering and Division · 1.01: The Well-Ordering Principle and Mathematical Induction · 1.03: Divisibility and the Division Algorithm
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MCC: MTH 220 - Discrete Math
Judy Dean · Monroe Community College
In the contents: 1: Introduction to Discrete Mathematics · 1.1: An Overview of Discrete Mathematics · 1.3: How to Read and Write Mathematics
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Applied Combinatorics
Mitchel T. Keller & William T. Trotter · Georgia Tech & Morningside College
This book arose from our feeling that a text that met our approach to Applied Combinatorics was unavailable. Because of the diverse set of instructors assigned to the course, the standard text was one that covered every topic imaginable, but provided little depth. We took a different approach, attacking the central subjects of the course description to provide exposure, but taking the time to go into greater depth in select areas to give the students a better feel for how combinatorics works.
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A Cool Brisk Walk Through Discrete Mathematics
Stephen Davies · University of Mary Washington
In the contents: 2.3: Finite and infinite sets · 3.3: Relations between a set and itself · 3.4: Finite and infinite relations
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Combinatorics
Joy Morris · University of Lethbridge
In the contents: 01: What is Combinatorics · 03: Permutations Combinations and the Binomial Theorem · 04: Bijections and Combinatorial Proofs
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An Introduction to the Theory of Numbers
Leo Moser · University of Alberta
In the contents: 1.01: Compositions and Partitions
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Combinatorics and Graph Theory
David Guichard · Whitman College
In the contents: 1.03: Combinations and Permutations · 5.02: Euler Circuits and Walks · 5.03: Hamilton Cycles and Paths
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An Introduction to Number Theory
J. J. P. Veerman · Portland State University
In the contents: 1.01: Divisors and Congruences · 1.02: Rational and Irrational Numbers · 1.03: Algebraic and Transcendental Numbers
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Applied Discrete Structures
Al Doerr & Ken Levasseur · University of Massachusetts Lowell
In the contents: 1.01: Set Notation and Relations · 1.03: Cartesian Products and Power Sets · 1.05: Summation Notation and Generalizations
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STAT C1000
Edward Pineda-Castro · Los Angeles City College
In the contents: 3.02: Parameter and Statistic · 3.04: Interpreting the Mean and Standard Deviation · 3.05: Measures of Relative Standing
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Interactive Lecture Notes for Introductory Statistics
Anton Butenko · Mt. San Jacinto College
In the contents: 3.02: Parameter and Statistic · 3.04: Interpreting the Mean and Standard Deviation · 3.05: Measures of Relative Standing
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Introductory Probability
Charles Grinstead & J. Laurie Snell · Dartmouth & Swarthmore Universities
In the contents: 01: Discrete Probability Distributions · 1.01: Simulation of Discrete Probabilities · 1.02: Discrete Probability Distribution
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Elementary Foundations: An Introduction to Topics in Discrete Mathematics
Jeremy Sylvestre · University of Alberta Augustana
In the contents: 1.04: Tautologies and contradictions · 2.03: Converse Inverse and Contrapositive · 4.01: Predicates and Quantifers
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Discrete Math with SageMath
Hellen Colman · City Colleges of Chicago
In the contents: 03: Combinatorics · 3.01: Combinatorics · 7.05: Euler and Hamilton