\newcommand{\card}[1]{\left| #1 \right|} write to me (Prof. Gregory V. Bard) at the following email address. \newcommand{\lt}{<} PDF | On Sep 11, 2008, Anil Khairnar and others published Discrete Mathematics Textbook | Find, read and cite all the research you need on ResearchGate (with lots of practical applications, help, and hints to solve the hard problems). \newcommand{\isom}{\cong} This course serves both as an introduction to topics in discrete math and as the "introduction to proofs" course for math majors. Discrete Structures in Mathematics: a Problem-Solving Approach (Free PDF Textbook) (with lots of practical applications, help, and hints to solve the hard problems) by Prof. Gregory V. Bard. Index Prev Up Next The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Feel free to also visit my \). \newcommand{\Iff}{\Leftrightarrow} Lots of hints/help for the hard problems. \renewcommand{\bar}{\overline} \renewcommand{\iff}{\leftrightarrow} \newcommand{\inv}{^{-1}} \newcommand{\Q}{\mathbb Q} \newcommand{\pow}{\mathcal P} ; New! \renewcommand{\v}{\vtx{above}{}} \newcommand{\st}{:} \newcommand{\Z}{\mathbb Z} Module 4.6: Pascal's Triangle and the Binomial Theorem, Handy Reference Sheet for Pascal's Triangle and the Binomial Theorem, Module 4.7: Some Advanced Combinatorial Principles, Chapter 5: Advanced Topics in Probability, Module 5.3: Bernoulli's Binomial Distribution Formula and Reliability Engineering, Module 5.4: Conditional Probability Notation and Bayes' Rule, Module 5.5: Probability, Dice Games, and Odds, Module 5.6: A Combinatorial View of Poker (5-Card Stud), Module 6.1: Disproof of Hypotheses by Counter-Example, Module 6.2: The Logic Game: Ten Levels of Problems Toward I would also happily accept any recommendations A Short Course in Discrete Mathematics This book consists of six units of study: Boolean Functions and Computer Arithmetic, Logic, Number Theory and Cryptography, Sets and Functions, Equivalence and Order, Induction, Sequences and Series. Each section contains a representative selection of problems. about online resources, tutorials, free textbooks, practice exercises, course syllabi, \newcommand{\vtx}[2]{node[fill,circle,inner sep=0pt, minimum size=4pt,label=#1:#2]{}} \newcommand{\gt}{>} I will be very happy to hear from you. \(\renewcommand{\d}{\displaystyle} Discrete Mathematics: An Open Introduction, 3rd edition Oscar Levin. A free textbook for discrete mathematics and its applications. Module 4.5: Which Combinatorial Formula Should I Use? personal webpage. Mathematical Logic, and Set Theory, Module 6.3: Contrapositives and Converses, Module 6.6: Negating Long First-Order Logical Sentences, Chapter 8: Mathematical Induction and Recursive Sequences, Chapter 9: The Theory of Digraphs and Graphs, Chapter 10: Modular Arithmetic and Cryptography, Module 10.1: Exploring Steganography with the Baconian Cipher, Several Cayley Tables, useful for what follows, Module 10.2: The Basics of Modular Arithmetic, Module 10.4-and-a-half: Exploring the Vigenère Cipher, Module 10.5: Euler's Totient Function and Modular Exponentiation, Module 10.6: Introducing the RSA Cryptosystem, Module 10.7: Exploring the RSA Cryptosystem, Appendix A: Good Old-Fashioned Mathematics, Module A.1: Converting Between Different Number Bases, Module A.2: Completing the Square (and Applications), Module A.3: Cardano's Method for Solving Cubic Equations, Module A.5: Injective, Surjective, and Bijective Functions, Module A.6: Equivalence Relations (Reflexive, Symmetric, Transitive), Module A.7: Fermat's Last Theorem and Famous Unsolved Problems, Module A.8: About Poisson's Theorem on Rare Events, Appendix B: A Lab Packet about Dijkstra's Algorithm. You can essentially share it with anyone as long as you leave the Creative Commons license in place. The book began as a set of notes for the Discrete Mathematics courseattheUniversityofNorthernColorado. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. or my \newcommand{\vl}[1]{\vtx{left}{#1}} \newcommand{\C}{\mathbb C} The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. Please place "Discrete Math Hub" in the subject line. \newcommand{\N}{\mathbb N} See a more precise legal description below.

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