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A Course in mathematical analysis /

Garling, D. J. H.

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A Course in mathematical analysis /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A Course in mathematical analysis // D.J.H. Garling.
其他題名:	Foundations and elementary real analysis.
作者:	Garling, D. J. H.
出版者:	Cambridge ;Cambridge University Press, : 2013-2014. ,
面頁冊數:	3 v. :ill. ;26 cm.
標題:	Mathematical analysis -
ISBN:	9781107032026 (hbk.) :

A Course in mathematical analysis /
Garling, D. J. H.

A Course in mathematical analysis /Foundations and elementary real analysis.D.J.H. Garling. - Cambridge ;Cambridge University Press,2013-2014. - 3 v. :ill. ;26 cm.

Includes bibliographical references and index.

Foundations and elementary real analysis --

The 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. Volume I 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 II goes on to consider metric and topological spaces, and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.

ISBN: 9781107032026 (hbk.) :US125.00 (v.1)Subjects--Topical Terms:

704073
Mathematical analysis

Dewey Class. No.: 515

A Course in mathematical analysis /
LDR:02517cam a22004098i 450 001 1464318
003 OCoLC
005 20130719064048.0
008 130522m20132014enka b 001 0 eng d
020 $a 9781107032026 (hbk.) : $c US125.00 (v.1)
020 $a 1107032024 (hbk. : v.1)
020 $a 9781107614185 (pbk. : v.1)
020 $a 110761418X (pbk. : v.2)
020 $a 9781107032033 (hbk. : v.2) : $c US125.00
020 $a 1107032032 (hbk. : v.2)
020 $a 9781107675322 (pbk. : v.2)
020 $a 1107675324 (pbk. : v.2)
020 $a 9781107032040 (hbk. : v. 3) : $c US$125.00
020 $a 1107032040 (hbk. : v. 3)
020 $a 9781107663305 (pbk. : v.3)
020 $a 110766330X (pbk. : v.3)
020 $a 9781139424493 (ebk.)
020 $a 1139424491 (ebk.)
020 $a 9781299546103 (MyiLibrary)
020 $a 1299546102 (MyiLibrary)
040 $a TXA $c TXA $d EYM
082 0 0 $a 515 $2 23
090 $a QA300 $b .G27 2013
100 1 $a Garling, D. J. H. $3 1959025
245 1 0 $a A Course in mathematical analysis / $c D.J.H. Garling.
246 0 # $a Foundations and elementary real analysis.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2013-2014.
300 $a 3 v. : $b ill. ; $c 26 cm.
504 $a Includes bibliographical references and index.
505 0 # $t Foundations and elementary real analysis -- $t Metric and topological spaces, functions of a vector variable -- $t Complex analysis, Lebesgue measure and the Lebesgue integral.
520 # $a The 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. Volume I 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 II goes on to consider metric and topological spaces, and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.
650 # 0 $a Mathematical analysis $3 704073
740 0 2 $a Foundations and elementary real analysis.
740 0 2 $a Metric and topological spaces, functions of a vector variable.
740 0 2 $a Complex analysis, Lebesgue measure and the Lebesgue integral.