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\(\def\ds{\displaystyle}
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\def\N{\mathbb N}
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\def\F{\mathbb F}
\def\pow{\mathcal P}
\def\inv{^{-1}}
\def\iff{\leftrightarrow}
\def\Iff{\Leftrightarrow}
\def\land{\wedge}
\def\And{\bigwedge}
\def\entry{\entry}
\def\AAnd{\d\bigwedge\mkern-18mu\bigwedge}
\def\Vee{\bigvee}
\def\VVee{\d\Vee\mkern-18mu\Vee}
\def\imp{\rightarrow}
\def\Imp{\Rightarrow}
\def\Fi{\Leftarrow}
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\def\dbland{\bigwedge \!\!\bigwedge}
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\)
Acknowledgements Acknowledgements
Special thanks goes to the Wichita State Open/Alternative Textbook Initiative for their generous grant to help expand the text.
The material in section
Sectionย 5.4 I first learned in Arthur Benjamin and Jennifer Quinnโs
Proofs that Really Count: The Art of Combinatorial Proof , and the exercises in that section come from that book, and influenced every choice of Fibonacci sequence problem in the remainder of the text.
The comic in the preface is copyright Zach Weinersmith, smbc-comics.com
Iโm also grateful for you, reader, as we go on this journey of mathematics together. This is going to be fun.