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000938672 019__ $$a1175914470$$a1179000826$$a1182444203$$a1182912803$$a1183935679
000938672 020__ $$a9783030463212$$q(electronic book)
000938672 020__ $$a3030463214$$q(electronic book)
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000938672 0248_ $$a10.1007/978-3-030-46
000938672 035__ $$aSP(OCoLC)on1180971926
000938672 035__ $$aSP(OCoLC)1180971926$$z(OCoLC)1175914470$$z(OCoLC)1179000826$$z(OCoLC)1182444203$$z(OCoLC)1182912803$$z(OCoLC)1183935679
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000938672 049__ $$aISEA
000938672 050_4 $$aQA300$$b.M34 2020
000938672 08204 $$a515$$223
000938672 1001_ $$aMagnus, Robert,$$eauthor.
000938672 24510 $$aFundamental mathematical analysis /$$cRobert Magnus.
000938672 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2020]
000938672 300__ $$a1 online resource.
000938672 336__ $$atext$$btxt$$2rdacontent
000938672 337__ $$acomputer$$bc$$2rdamedia
000938672 338__ $$aonline resource$$bcr$$2rdacarrier
000938672 4901_ $$aSpringer undergraduate mathematics series
000938672 500__ $$aIncludes index.
000938672 506__ $$aAccess limited to authorized users.
000938672 520__ $$aThis textbook offers a comprehensive undergraduate course in real analysis in one variable. Taking the view that analysis can only be properly appreciated as a rigorous theory, the book recognises the difficulties that students experience when encountering this theory for the first time, carefully addressing them throughout. Historically, it was the precise description of real numbers and the correct definition of limit that placed analysis on a solid foundation. The book therefore begins with these crucial ideas and the fundamental notion of sequence. Infinite series are then introduced, followed by the key concept of continuity. These lay the groundwork for differential and integral calculus, which are carefully covered in the following chapters. Pointers for further study are included throughout the book, and for the more adventurous there is a selection of "nuggets", exciting topics not commonly discussed at this level. Examples of nuggets include Newton's method, the irrationality of pi, Bernoulli numbers, and the Gamma function. Based on decades of teaching experience, this book is written with the undergraduate student in mind. A large number of exercises, many with hints, provide the practice necessary for learning, while the included "nuggets" provide opportunities to deepen understanding and broaden horizons.
000938672 588__ $$aDescription based on online resource; title from digital title page (viewed on August 17, 2020).
000938672 650_0 $$aMathematical analysis.
000938672 77608 $$iPrint version: $$z3030463206$$z9783030463205$$w(OCoLC)1145561252
000938672 830_0 $$aSpringer undergraduate mathematics series.
000938672 852__ $$bebk
000938672 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-46321-2$$zOnline Access$$91397441.1
000938672 909CO $$ooai:library.usi.edu:938672$$pGLOBAL_SET
000938672 980__ $$aEBOOK
000938672 980__ $$aBIB
000938672 982__ $$aEbook
000938672 983__ $$aOnline
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