000			01749nam a22002897a 4500
003			OSt
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020			_a9783030593674
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517.53 _bLVO-P
100			_aLvovski, Serge
245			_aPrinciples of complex analysis
260			_aCham : _bSpringer, _c2020
300			_axiii, 257p.
490			_aMoscow Lectures, _v6 _x2522-0314 ;
504			_aIncludes bibliographical references and index
520			_aThis is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The exposition is rigorous but elementary: abstract notions are introduced only if they are really indispensable. This approach provides a motivation for the reader to digest more abstract definitions (e.g., those of sheaves or line bundles, which are not mentioned in the book) when he/she is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e. that of elliptic curves.
650			_aAlgebraic Geometry
650			_aComplex analysis
650			_aRiemann surface
650			_aFunctions of complex variables
650			_aCauchy formula
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-59365-0/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/59208443-principles-of-complex-analysis?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35392 _d35392