LEADER 03299nam 22007095 450 001 9910739484603321 005 20260211151605.0 010 $a3-031-33203-2 024 7 $a10.1007/978-3-031-33203-6 035 $a(CKB)27965499400041 035 $a(DE-He213)978-3-031-33203-6 035 $a(MiAaPQ)EBC30766890 035 $a(Au-PeEL)EBL30766890 035 $a(PPN)272263915 035 $a(MiAaPQ)EBC30682607 035 $a(Au-PeEL)EBL30682607 035 $a(EXLCZ)9927965499400041 100 $a20230809d2023 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Thinking $eWhy Everyone Should Study Math /$fby Howard Karloff 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (X, 198 p. 35 illus., 20 illus. in color.) 225 1 $aCompact Textbooks in Mathematics,$x2296-455X 311 08$a9783031332029 320 $aIncludes bibliographical references and index. 327 $aPrimes -- The Euclidean Algorithm -- Modular Arithmetic -- Irrationals -- *i* -- Infinities and Diagonalization -- Binary Search -- Newton's Method -- Graph Theory -- Probability -- Fractals -- Solutions to Puzzles -- Acknowledgements -- Bibliography -- Index. 330 $aThis textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from probability and graph theory to infinities and Newton?s method. Many examples of proofs appear as well, offering readers the opportunity to explore these topics with the amount of rigor that suits them. Programming exercises in Python are also included to show how math behaves in action. Mathematical Thinking is an ideal textbook for transition courses aimed at undergraduates moving from lower level to more advanced topics, as well as for math recruitment and invitational courses at the freshman or sophomore level. It may also be of interest in computer science departments and can be used as a supplemental text for courses in discrete mathematics and graph theory. 410 0$aCompact Textbooks in Mathematics,$x2296-455X 606 $aMathematics 606 $aNumber theory 606 $aProbabilities 606 $aGeneral Mathematics 606 $aNumber Theory 606 $aProbability Theory 606 $aMatemātica$2thub 606 $aLlibres de text$2thub 606 $aRaonament$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematics. 615 0$aNumber theory. 615 0$aProbabilities. 615 14$aGeneral Mathematics. 615 24$aNumber Theory. 615 24$aProbability Theory. 615 7$aMatemātica 615 7$aLlibres de text 615 7$aRaonament 676 $a510 676 $a510 700 $aKarloff$b Howard$f1961-$0772070 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739484603321 996 $aMathematical Thinking$93574702 997 $aUNINA