LEADER 04141nam 2200661 a 450 001 9910955955503321 005 20250715214156.0 010 $a1-61444-605-9 035 $a(CKB)2670000000257561 035 $a(EBL)3330437 035 $a(SSID)ssj0000577604 035 $a(PQKBManifestationID)12185538 035 $a(PQKBTitleCode)TC0000577604 035 $a(PQKBWorkID)10561831 035 $a(PQKB)10299818 035 $a(MiAaPQ)EBC3330437 035 $a(Au-PeEL)EBL3330437 035 $a(CaPaEBR)ebr10733080 035 $a(OCoLC)929120391 035 $a(RPAM)16063923 035 $a(EXLCZ)992670000000257561 100 $a20100121d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn episodic history of mathematics $emathematical culture through problem solving /$fSteven G. Krantz 205 $a1st ed. 210 $a[Washington, D.C.] $cMathematical Association of America$dc2010 215 $a1 online resource (396 p.) 225 1 $aAMS/MAA Textbooks,$x2577-1213 ;$vv. 19 225 0$aMAA textbooks 300 $aDescription based upon print version of record. 311 08$a0-88385-766-9 320 $aIncludes bibliographical references (p. 365-369) and index. 327 $aThe ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- Rene? Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincare?, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography. 330 $a"An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing - getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."--Publisher's description. 410 0$aMAA Textbooks 606 $aMathematics$xHistory$xStudy and teaching (Higher) 606 $aMathematics$vProblems, exercises, etc 606 $aMathematics$xStudy and teaching (Higher) 606 $aMathematicians 615 0$aMathematics$xHistory$xStudy and teaching (Higher) 615 0$aMathematics 615 0$aMathematics$xStudy and teaching (Higher) 615 0$aMathematicians. 676 $a510.9 686 $a31.01$2bcl 700 $aKrantz$b Steven G$g(Steven George),$f1951-$055961 712 02$aMathematical Association of America. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910955955503321 996 $aAn episodic history of mathematics$94403569 997 $aUNINA