001482262 000__ 03636cam\\2200565\i\4500
001482262 001__ 1482262
001482262 003__ OCoLC
001482262 005__ 20231128003329.0
001482262 006__ m\\\\\o\\d\\\\\\\\
001482262 007__ cr\un\nnnunnun
001482262 008__ 231008s2023\\\\sz\a\\\\ob\\\\001\0\eng\d
001482262 020__ $$a9783031396151$$q(electronic bk.)
001482262 020__ $$a3031396154$$q(electronic bk.)
001482262 020__ $$z9783031396144
001482262 020__ $$z3031396146
001482262 0247_ $$a10.1007/978-3-031-39615-1$$2doi
001482262 035__ $$aSP(OCoLC)1402020806
001482262 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF
001482262 0411_ $$aeng$$hukr
001482262 049__ $$aISEA
001482262 050_4 $$aQA331.7
001482262 08204 $$a515/.9$$223/eng/20231012
001482262 1001_ $$aMel'nyk, Taras,$$eauthor.
001482262 24510 $$aComplex analysis /$$cTaras Mel'nyk.
001482262 264_1 $$aCham :$$bSpringer,$$c[2023]
001482262 264_4 $$c©2023
001482262 300__ $$a1 online resource (xviii, 244 pages) :$$billustrations (chiefly color)
001482262 336__ $$atext$$btxt$$2rdacontent
001482262 337__ $$acomputer$$bc$$2rdamedia
001482262 338__ $$aonline resource$$bcr$$2rdacarrier
001482262 504__ $$aIncludes bibliographical references and index.
001482262 5050_ $$a1 Complex Numbers and Complex Plane -- 2 Analytic Functions -- 3 Elementary Analytic Functions -- 4 Integration of Functions of a Single Complex Variable -- 5 Complex Power Series -- 6 Laurent Series. Isolated Singularities of Analytic Functions -- 7 Residue Calculus -- 8 Analytic Continuations -- 9 Qualitative Properties of Analytic Functions.
001482262 506__ $$aAccess limited to authorized users.
001482262 520__ $$aToday, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines. Complex analysis has become a basic course in mathematics, physics, and select engineering departments. This concise textbook provides a thorough introduction to the function theory of one complex variable. It presents the fundamental concepts with clarity and rigor, offering concise proofs that avoid lengthy and tedious arguments commonly found in mathematics textbooks. It goes beyond traditional texts by exploring less common topics, including the different approaches to constructing analytic functions, the conformal mapping criterion, integration of analytic functions along arbitrary curves, global analytic functions and their Riemann surfaces, the general inverse function theorem, the LagrangeBrmann formula, and Puiseux series. Drawing from several decades of teaching experience, this book is ideally suited for one or two semester courses in complex analysis. It also serves as a valuable companion for courses in topology, approximation theory, asymptotic analysis, and functional analysis. Abundant examples and exercises make it suitable for self-study as well.
001482262 546__ $$aTranslated from Ukrainian.
001482262 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 12, 2023).
001482262 650_6 $$aFonctions d'une variable complexe.
001482262 650_6 $$aAnalyse mathématique.
001482262 650_0 $$aFunctions of complex variables.$$0(DLC)sh 85052356
001482262 650_0 $$aMathematical analysis.$$xMathematical models$$0(DLC)sh2008104883
001482262 655_0 $$aElectronic books.
001482262 77608 $$iPrint version:$$z3031396146$$z9783031396144$$w(OCoLC)1387009710
001482262 852__ $$bebk
001482262 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-39615-1$$zOnline Access$$91397441.1
001482262 909CO $$ooai:library.usi.edu:1482262$$pGLOBAL_SET
001482262 980__ $$aBIB
001482262 980__ $$aEBOOK
001482262 982__ $$aEbook
001482262 983__ $$aOnline
001482262 994__ $$a92$$bISE