001442718 000__ 03621cam\a2200529\a\4500
001442718 001__ 1442718
001442718 003__ OCoLC
001442718 005__ 20230310003432.0
001442718 006__ m\\\\\o\\d\\\\\\\\
001442718 007__ cr\un\nnnunnun
001442718 008__ 211116s2022\\\\sz\\\\\\ob\\\\001\0\eng\d
001442718 019__ $$a1285491288
001442718 020__ $$a9783030794316$$q(electronic bk.)
001442718 020__ $$a3030794318$$q(electronic bk.)
001442718 020__ $$z303079430X
001442718 020__ $$z9783030794309
001442718 0247_ $$a10.1007/978-3-030-79431-6$$2doi
001442718 035__ $$aSP(OCoLC)1285453039
001442718 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dOCLCF$$dOCLCO$$dOCLCQ
001442718 049__ $$aISEA
001442718 050_4 $$aQA292
001442718 08204 $$a515/.24$$223
001442718 1001_ $$aBourchtein, Ludmila,$$eauthor.
001442718 24510 $$aTheory of infinite sequences and series /$$cLudmila Bourchtein, Andrei Bourchtein.
001442718 260__ $$aCham, Switzerland :$$bBirkhäuser,$$c[2022]
001442718 300__ $$a1 online resource
001442718 336__ $$atext$$btxt$$2rdacontent
001442718 337__ $$acomputer$$bc$$2rdamedia
001442718 338__ $$aonline resource$$bcr$$2rdacarrier
001442718 504__ $$aIncludes bibliographical references and index.
001442718 5050_ $$aSequences of numbers -- Series of numbers -- Sequences of functions -- Series of functions -- Power series.
001442718 506__ $$aAccess limited to authorized users.
001442718 520__ $$aThis textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book.
001442718 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 19, 2021).
001442718 650_0 $$aSequences (Mathematics)
001442718 650_0 $$aSeries, Infinite.
001442718 650_6 $$aSuites (Mathématiques)
001442718 650_6 $$aSéries infinies.
001442718 655_0 $$aElectronic books.
001442718 7001_ $$aBourchtein, Andrei,$$eauthor.
001442718 77608 $$iPrint version: $$z303079430X$$z9783030794309$$w(OCoLC)1252962519
001442718 852__ $$bebk
001442718 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-79431-6$$zOnline Access$$91397441.1
001442718 909CO $$ooai:library.usi.edu:1442718$$pGLOBAL_SET
001442718 980__ $$aBIB
001442718 980__ $$aEBOOK
001442718 982__ $$aEbook
001442718 983__ $$aOnline
001442718 994__ $$a92$$bISE