000 03497nam a22004935i 4500
001 978-1-4614-5725-1
003 DE-He213
005 20140220082821.0
007 cr nn 008mamaa
008 130622s2013 xxu| s |||| 0|eng d
020 _a9781461457251
_9978-1-4614-5725-1
024 7 _a10.1007/978-1-4614-5725-1
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aBottazzini, Umberto.
_eauthor.
245 1 0 _aHidden Harmony—Geometric Fantasies
_h[electronic resource] :
_bThe Rise of Complex Function Theory /
_cby Umberto Bottazzini, Jeremy Gray.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXVII, 848 p. 38 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSources and Studies in the History of Mathematics and Physical Sciences
505 0 _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.
520 _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is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources.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.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aFunctions of complex variables.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aNumber Theory.
700 1 _aGray, Jeremy.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461457244
830 0 _aSources and Studies in the History of Mathematics and Physical Sciences
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-5725-1
912 _aZDB-2-SMA
999 _c95486
_d95486