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Lectures on real analysis /

Lárusson, Finnur, (1966-)

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Lectures on real analysis /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lectures on real analysis // Finnur Lárusson.
作者:	Lárusson, Finnur,
出版者:	New York :Cambridge University Press, : 2012.,
面頁冊數:	x, 117 p. :ill ;24 cm.
附註:	Includes index.
標題:	Mathematical analysis. -
電子資源:	http://assets.cambridge.org/97811070/26780/cover/9781107026780.jpg
ISBN:	9781107026780 (hbk.) :

Lectures on real analysis /
Lárusson, Finnur,1966-

Lectures on real analysis /Finnur Lárusson. - New York :Cambridge University Press,2012. - x, 117 p. :ill ;24 cm. - Australian Mathematical Society lecture series ;21.

Includes index.

Numbers, sets, and functions --

"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author’s exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"--

ISBN: 9781107026780 (hbk.) :US95.00

LCCN: 2012005596Subjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300.5 / .L37 2012

Dewey Class. No.: 515

Lectures on real analysis /
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100 1 $a Lárusson, Finnur, $d 1966- $3 1956933
240 1 0 $a Lectures. $k Selections
245 1 0 $a Lectures on real analysis / $c Finnur Lárusson.
260 # $a New York : $b Cambridge University Press, $c 2012.
300 $a x, 117 p. : $b ill ; $c 24 cm.
490 1 0 $a Australian Mathematical Society lecture series ; $v 21
500 $a Includes index.
505 $t Numbers, sets, and functions -- $t The real numbers -- $t Sequences -- $t Open, closed, and compact sets -- $t Continuity -- $t Differentiation -- $t Integration -- $t Sequences and series of functions -- $t Metric spaces -- $t The contraction principle.
520 # $a "This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author’s exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"-- $c Provided by publisher.
650 # 0 $a Mathematical analysis. $3 516833
856 4 2 $3 Cover image $u http://assets.cambridge.org/97811070/26780/cover/9781107026780.jpg