國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁 到查詢結果 [ subject:"Analysis." ]

切換: 標籤 | MARC模式 | ISBD

Real analysisseries, functions of se...

Laczkovich, Miklos.

Real analysisseries, functions of several variables, and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Real analysisby Miklos Laczkovich, Vera T. Sos.
其他題名:	series, functions of several variables, and applications /
作者:	Laczkovich, Miklos.
其他作者:	Sos, Vera T.
出版者:	New York, NY :Springer New York :2017.
面頁冊數:	ix, 392 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical analysis.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-7369-9
ISBN:	9781493973699$q(electronic bk.)

Real analysisseries, functions of several variables, and applications /
Laczkovich, Miklos.

Real analysisseries, functions of several variables, and applications /[electronic resource] :by Miklos Laczkovich, Vera T. Sos. - New York, NY :Springer New York :2017. - ix, 392 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,30172-6056 ;. - Undergraduate texts in mathematics ;3..

Functions of Several Variables -- 1. R^p → R functions -- 2. R^p → R^q functions -- 3. The Jordan Measure -- 4. The Integral of Multivariable Functions I -- 5. The Integral of Multivariable Functions II -- 6. Infinite Series -- 7. Sequences and Series of Functions -- 8. Miscellaneous Topics -- 9. Hint, Solutions -- References -- Index -- Notation.

This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable. Together, these volumes form the first English edition of the popular Hungarian original, Valos Analizis I & II, based on courses taught by the authors at Eotvos Lorand University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading. Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding and context, be it within mathematics itself or more broadly in applications, such as physics. By developing the student's intuition throughout, many definitions and results become motivated by insights from their context.

ISBN: 9781493973699$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-7369-9doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Real analysisseries, functions of several variables, and applications /
LDR:02813nmm a2200325 a 4500 001 525736
003 DE-He213
005 20171215025426.0
006 m d
007 cr nn 008maaau
008 180918s2017 nyu s 0 eng d
020 $a 9781493973699$q(electronic bk.)
020 $a 9781493973675$q(paper)
024 7 $a 10.1007/978-1-4939-7369-9 $2 doi
035 $a 978-1-4939-7369-9
040 $a GP $c GP
041 1 $a eng $h hun
050 4 $a QA300
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515 $2 23
090 $a QA300 $b .L152 2017
100 1 $a Laczkovich, Miklos. $3 209317
245 1 0 $a Real analysis $h [electronic resource] : $b series, functions of several variables, and applications / $c by Miklos Laczkovich, Vera T. Sos.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2017.
300 $a ix, 392 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate texts in mathematics, $x 0172-6056 ; $v 3
505 0 $a Functions of Several Variables -- 1. R^p → R functions -- 2. R^p → R^q functions -- 3. The Jordan Measure -- 4. The Integral of Multivariable Functions I -- 5. The Integral of Multivariable Functions II -- 6. Infinite Series -- 7. Sequences and Series of Functions -- 8. Miscellaneous Topics -- 9. Hint, Solutions -- References -- Index -- Notation.
520 $a This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable. Together, these volumes form the first English edition of the popular Hungarian original, Valos Analizis I & II, based on courses taught by the authors at Eotvos Lorand University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading. Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding and context, be it within mathematics itself or more broadly in applications, such as physics. By developing the student's intuition throughout, many definitions and results become motivated by insights from their context.
650 0 $a Mathematical analysis. $3 186133
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Analysis. $3 273775
700 1 $a Sos, Vera T. $3 198182
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Undergraduate texts in mathematics ; $v 3. $3 798169
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-7369-9
950 $a Mathematics and Statistics (Springer-11649)