000 a
999 _c32223
_d32223
008 231006b xxu||||| |||| 00| 0 eng d
020 _a9781470470272
082 _a511.36
_bCHO
100 _aChow, Bennett
245 _aIntroduction to proof through number theory
260 _bAmerican Mathematical Society,
_c2023
_aProvidence :
300 _axviii, 442 p. ;
_bill., (some col.),
_c26 cm
365 _b89.00
_cUSD
_d86.10
490 _aPure and applied undergraduate texts, 1943-9334 ;
_vv.61
504 _aIncludes bibliographical references and index.
520 _aLighten up about mathematics! Have fun. If you read this book, you will have to endure bad math puns and jokes and out-of-date pop culture references. You'll learn some really cool mathematics to boot. In the process, you will immerse yourself in living, thinking, and breathing logical reasoning. We like to call this proofs, which to some is a bogey word, but to us it is a boogie word. You will learn how to solve problems, real and imagined. After all, math is a game where, although the rules are pretty much set, we are left to our imaginations to create. Think of this book as blueprints, but you are the architect of what structures you want to build. Make sure you lay a good foundation, for otherwise your buildings might fall down. To help you through this, we guide you to think and plan carefully. Our playground consists of basic math, with a loving emphasis on number theory. We will encounter the known and the unknown. Ancient and modern inquirers left us with elementary-sounding mathematical puzzles that are unsolved to this day. You will learn induction, logic, set theory, arithmetic, and algebra, and you may one day solve one of these puzzles.
650 _aNumber theory
650 _aProof theory
650 _aMersenne conjectures
650 _aFibonacci numbers
650 _aRigor
650 _aLogic puzzles
650 _aDivision theorem
650 _aCartesian products
650 _aFun congruence facts
650 _aFermat's Little theorem
650 _aBinomial theorem
650 _aCounting problem
650 _aLaw of quadratic reciproty
942 _2ddc
_cBK