國立虎尾科技大學 |

Analysis : = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analysis :/ Richard Beals.
其他題名:	an introduction /
作者:	Beals, Richard,
面頁冊數:	1 online resource (ix, 261 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1017/CBO9780511755163
ISBN:	9780511755163 (ebook)

Analysis : = an introduction /
Beals, Richard,1938-

Analysis :an introduction /Richard Beals. - 1 online resource (ix, 261 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- The real and complex numbers -- Real and complex sequences -- Series -- Power series -- Metric spaces -- Continuous functions -- Calculus -- Some special functions -- Lebesgue measure on the Line -- Lebesgue integration on the line -- Function spaces -- Fourier series -- Applications of Fourier Series -- Ordinary differential equations -- Appendix: The Banach-Tarski paradox.

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

ISBN: 9780511755163 (ebook)Subjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA300 / .B4124 2004

Dewey Class. No.: 515

Analysis : = an introduction /
LDR:02298nam a2200301 i 4500 001 1126420
003 UkCbUP
005 20151005020621.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2004||||enk o ||1 0|eng|d
020 $a 9780511755163 (ebook)
020 $z 9780521840729 (hardback)
020 $z 9780521600477 (paperback)
035 $a CR9780511755163
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA300 $b .B4124 2004
082 0 0 $a 515 $2 22
100 1 $a Beals, Richard, $d 1938- $3 1238397
245 1 0 $a Analysis : $b an introduction / $c Richard Beals.
264 1 $a Cambridge : $b Cambridge University Press, $c 2004.
300 $a 1 online resource (ix, 261 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- The real and complex numbers -- Real and complex sequences -- Series -- Power series -- Metric spaces -- Continuous functions -- Calculus -- Some special functions -- Lebesgue measure on the Line -- Lebesgue integration on the line -- Function spaces -- Fourier series -- Applications of Fourier Series -- Ordinary differential equations -- Appendix: The Banach-Tarski paradox.
520 $a This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.
650 0 $a Mathematical analysis. $3 527926
776 0 8 $i Print version: $z 9780521840729
856 4 0 $u https://doi.org/10.1017/CBO9780511755163