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200 12$aA course in mathematical analysis$hVolume 1$iFoundations and elementary real analysis /$fD. J. H. Garling$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (xvi, 300 pages) $cdigital, PDF file(s)
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
320   $aIncludes bibliographical references and index.
327   $apt. 1. Prologue : the foundations of analysis -- pt. 2. Functions of a real variable.
330   $aThe three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume 2 goes on to consider metric and topological spaces and functions of several variables. Volume 3 covers complex analysis and the theory of measure and integration.
606   $aMathematical analysis
615  0$aMathematical analysis.
676   $a515
700   $aGarling$b D. J. H.$056885
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910464314903321
996   $aCourse in mathematical analysis$9258277
997   $aUNINA