LEADER 03949nam 22005895 450 001 9910789694403321 005 20200704211241.0 010 $a0-387-92154-0 024 7 $a10.1007/978-0-387-92154-9 035 $a(CKB)2670000000099976 035 $a(EBL)770116 035 $a(OCoLC)748515531 035 $a(SSID)ssj0000508453 035 $a(PQKBManifestationID)11366648 035 $a(PQKBTitleCode)TC0000508453 035 $a(PQKBWorkID)10554661 035 $a(PQKB)10018168 035 $a(DE-He213)978-0-387-92154-9 035 $a(MiAaPQ)EBC770116 035 $a(PPN)156311585 035 $a(EXLCZ)992670000000099976 100 $a20110728d2011 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aJourney through Mathematics$b[electronic resource] $eCreative Episodes in Its History /$fby Enrique A. González-Velasco 205 $a1st ed. 2011. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2011. 215 $a1 online resource (478 p.) 300 $aDescription based upon print version of record. 311 $a1-4899-8842-4 311 $a0-387-92153-2 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1 Trigonometry -- 2 Logarithms -- 3 Complex Numbers -- 4 Infinite Series -- 5 The Calculus -- 6 Convergence -- Bibliography -- Index. 330 $aThis book offers an accessible and in-depth look at some of the most  important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math. Features of this book include: -Dozens of diagrams and photographs of original sources -Original translation of Rafael Bombelli's contribution to the study of complex numbers -A detailed history of the calculus as it was being written, and a new analysis of Leibniz's writings on the subject -The first English translation of the first published proof of the fundamental theorem of Calculus, given by James Gregory in 1668 -An accessible discussion of James Gregory's work, including his invention of Taylor series forty years before Taylor -An original English translation of extended portions of works by José Anastácio da Cunha, a little known but important contributor to the convergence of series and the differential calculus, some of whose ideas were later attributed to Cauchy. 606 $aMathematics 606 $aHistory 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 606 $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009 615 0$aMathematics. 615 0$aHistory. 615 14$aHistory of Mathematical Sciences. 615 24$aMathematics, general. 676 $a510 676 $a510.9 700 $aGonzález-Velasco$b Enrique A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0627633 906 $aBOOK 912 $a9910789694403321 996 $aJourney through Mathematics$93790684 997 $aUNINA