Most of the notation we use below is standard, although some might be … \def\entry{\entry} Creative Commons Attribution-ShareAlike License. \newcommand{\vtx}[2]{node[fill,circle,inner sep=0pt, minimum size=4pt,label=#1:#2]{}} \newcommand{\vb}[1]{\vtx{below}{#1}} Oscar Levin. \). • Contents Prev Up Next. \def\Vee{\bigvee} \def\Gal{\mbox{Gal}} \newcommand{\B}{\mathbf B} \). \def\circleBlabel{(1.5,.6) node[above]{$B$}} } \def\ansfilename{practice-answers} \newcommand{\imp}{\rightarrow} \def\A{\mathbb A} \newcommand{\gt}{>} \newcommand{\Imp}{\Rightarrow} \newcommand{\va}[1]{\vtx{above}{#1}} \newcommand{\amp}{&} \def\x{-cos{30}*\r*#1+cos{30}*#2*\r*2} The entire book is available for free as an interactive online ebook. \def\twosetbox{(-2,-1.4) rectangle (2,1.4)} Index Prev Up Next. \newcommand{\U}{\mathcal U} \def\sigalg{$\sigma$-algebra } \def\dbland{\bigwedge \!\!\bigwedge} \renewcommand{\iff}{\leftrightarrow} Some exercises also allow you to enter and check your work, so you can try multiple times without spoiling the answer. For offline use, a free pdf version, suitable for reading on a tablet or computer, is available for download. \newcommand{\st}{:} \renewcommand{\v}{\vtx{above}{}} Books in this subject area deal with discrete mathematics: the study of mathematical structures that are fundamentally discrete rather than continuous. \def\course{Math 228} \newcommand{\vr}[1]{\vtx{right}{#1}} \def\threesetbox{(-2.5,-2.4) rectangle (2.5,1.4)} \def\st{:} \def\Z{\mathbb Z} \def\sat{\mbox{Sat}} \renewcommand{\bar}{\overline} \def\circleC{(0,-1) circle (1)} \def\VVee{\d\Vee\mkern-18mu\Vee} Please let me know if you use the book in your class, so I can add you to the list below. \newcommand{\C}{\mathbb C} \def\con{\mbox{Con}} \def\Iff{\Leftrightarrow} What is Discrete Mathematics? \newcommand{\Iff}{\Leftrightarrow} \renewcommand{\bar}{\overline} \def\land{\wedge} \def\circleA{(-.5,0) circle (1)} \def\X{\mathbb X} \def\var{\mbox{var}} You might not even know what discrete math is! \(\renewcommand{\d}{\displaystyle} \newcommand{\lt}{<} \renewcommand{\v}{\vtx{above}{}} The objects generally studied in discrete mathematics – such as integers, graphs, and statements in … This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. \newcommand{\amp}{&} Mathematical Statements; Sets; Functions; 1 Counting. \newcommand{\inv}{^{-1}} \def\AAnd{\d\bigwedge\mkern-18mu\bigwedge} \newcommand{\vb}[1]{\vtx{below}{#1}} Hints and solutions to examples and exercises are hidden but easily revealed by clicking on their links. \def\entry{\entry} Annotations. \def\~{\widetilde} Download PDF. \def\E{\mathbb E} 0.1. \newcommand{\twoline}[2]{\begin{pmatrix}#1 \\ #2 \end{pmatrix}} \def\iff{\leftrightarrow} Hopefully this short introduction will shed some light on what the subject is about and what you can expect as you move forward in your studies. \newcommand{\card}[1]{\left| #1 \right|} Discrete Mathematics: An Open Introduction, 3rd edition Oscar Levin. \newcommand{\twoline}[2]{\begin{pmatrix}#1 \\ #2 \end{pmatrix}} \def\circleC{(0,-1) circle (1)} Front Matter. \newcommand{\va}[1]{\vtx{above}{#1}} The most fundamental objects we will use in our studies (and really in all of math) are sets. \def\pow{\mathcal P} \newcommand{\vr}[1]{\vtx{right}{#1}}

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