000 02572nam a22004575i 4500
001 978-3-642-20554-5
003 DE-He213
005 20140220083801.0
007 cr nn 008mamaa
008 110609s2011 gw | s |||| 0|eng d
020 _a9783642205545
_9978-3-642-20554-5
024 7 _a10.1007/978-3-642-20554-5
_2doi
050 4 _aQA331.7
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.94
_223
100 1 _aFreitag, Eberhard.
_eauthor.
245 1 0 _aComplex Analysis 2
_h[electronic resource] :
_bRiemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions /
_cby Eberhard Freitag.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXIII, 506p. 51 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x0172-5939
505 0 _aChapter I. Riemann Surfaces -- Chapter II. Harmonic Functions on Riemann Surfaces -- Chapter III. Uniformization -- Chapter IV. Compact Riemann Surfaces -- Appendices to Chapter IV -- Chapter V. Analytic Functions of Several Complex Variables -- Chapter V. Analytic Functions of Several Complex Variable -- Chapter VI. Abelian Functions -- Chapter VII. Modular Forms of Several Variables -- Chapter VIII. Appendix: Algebraic Tools -- References -- Index.
520 _aThe book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions.
650 0 _aMathematics.
650 0 _aFunctions of complex variables.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
650 2 4 _aFunctions of a Complex Variable.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642205538
830 0 _aUniversitext,
_x0172-5939
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-20554-5
912 _aZDB-2-SMA
999 _c107810
_d107810