LEADER 03390nam 2200505Ia 450 001 9910437876103321 005 20200520144314.0 010 $a1-4614-5725-4 024 7 $a10.1007/978-1-4614-5725-1 035 $a(OCoLC)851443396 035 $a(MiFhGG)GVRL6XDS 035 $a(CKB)2670000000387945 035 $a(MiAaPQ)EBC1317548 035 $a(EXLCZ)992670000000387945 100 $a20111102d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aHidden harmony-geometric fantasies $ethe rise of complex function theory /$fUmberto Bottazzini, Jeremy Gray 205 $a1st ed. 2013. 210 $aNew York $cSpringer Science$d2013 215 $a1 online resource (xvii, 848 pages) $cillustrations, portraits 225 1 $aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8810 300 $aDescription based upon print version of record. 311 $a1-4614-5724-6 320 $aIncludes bibliographical references and index. 327 $aList of Figures -- Introduction -- 1. Elliptic Functions -- 2. From real to complex -- 3. Cauch -- 4. Elliptic integrals -- 5. Riemann -- 6. Weierstrass -- 7. Differential equations -- 8. Advanced topics -- 9. Several variables -- 10. Textbooks. 330 $aHidden Harmony?Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject?Cauchy, Riemann, and Weierstrass?it looks at the contributions of great mathematicians from d?Alembert to Poincaré, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main players lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professional mathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory. 410 0$aSources and studies in the history of mathematics and physical sciences. 606 $aFunctions of complex variables 606 $aMathematical analysis 615 0$aFunctions of complex variables. 615 0$aMathematical analysis. 676 $a515.909 700 $aBottazzini$b U$g(Umberto)$026182 701 $aGray$b Jeremy$f1947-$053883 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437876103321 996 $aHidden harmony-geometric fantasies$94202930 997 $aUNINA