語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Real Analysis = Foundations and Func...
~
Sós, Vera T.
Real Analysis = Foundations and Functions of One Variable /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Real Analysis/ by Miklós Laczkovich, Vera T. Sós.
其他題名:
Foundations and Functions of One Variable /
作者:
Laczkovich, Miklós.
其他作者:
Sós, Vera T.
面頁冊數:
X, 483 p. 94 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical analysis. -
電子資源:
https://doi.org/10.1007/978-1-4939-2766-1
ISBN:
9781493927661
Real Analysis = Foundations and Functions of One Variable /
Laczkovich, Miklós.
Real Analysis
Foundations and Functions of One Variable /[electronic resource] :by Miklós Laczkovich, Vera T. Sós. - 1st ed. 2015. - X, 483 p. 94 illus.online resource. - Undergraduate Texts in Mathematics,0172-6056. - Undergraduate Texts in Mathematics,.
A Short Historical Introduction -- Basic Concepts -- Real Numbers -- Infinite Sequences I -- Infinite Sequences II -- Infinite Sequences III -- Rudiments of Infinite Series -- Countable Sets -- Real Valued Functions of One Variable -- Continuity and Limits of Functions -- Various Important Classes of Functions (Elementary Functions) -- Differentiation -- Applications of Differentiation -- The Definite Integral -- Integration -- Applications of Integration -- Functions of Bounded Variation -- The Stieltjes Integral -- The Improper Integral.
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the students' mathematical intuition. The modular organization of the book makes it adaptable for either semester or year-long introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study. The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis.
ISBN: 9781493927661
Standard No.: 10.1007/978-1-4939-2766-1doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA299.6-433
Dewey Class. No.: 515
Real Analysis = Foundations and Functions of One Variable /
LDR
:03327nam a22004095i 4500
001
960036
003
DE-He213
005
20200702030947.0
007
cr nn 008mamaa
008
201211s2015 xxu| s |||| 0|eng d
020
$a
9781493927661
$9
978-1-4939-2766-1
024
7
$a
10.1007/978-1-4939-2766-1
$2
doi
035
$a
978-1-4939-2766-1
050
4
$a
QA299.6-433
072
7
$a
PBK
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBK
$2
thema
082
0 4
$a
515
$2
23
100
1
$a
Laczkovich, Miklós.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1253651
245
1 0
$a
Real Analysis
$h
[electronic resource] :
$b
Foundations and Functions of One Variable /
$c
by Miklós Laczkovich, Vera T. Sós.
250
$a
1st ed. 2015.
264
1
$a
New York, NY :
$b
Springer New York :
$b
Imprint: Springer,
$c
2015.
300
$a
X, 483 p. 94 illus.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Undergraduate Texts in Mathematics,
$x
0172-6056
505
0
$a
A Short Historical Introduction -- Basic Concepts -- Real Numbers -- Infinite Sequences I -- Infinite Sequences II -- Infinite Sequences III -- Rudiments of Infinite Series -- Countable Sets -- Real Valued Functions of One Variable -- Continuity and Limits of Functions -- Various Important Classes of Functions (Elementary Functions) -- Differentiation -- Applications of Differentiation -- The Definite Integral -- Integration -- Applications of Integration -- Functions of Bounded Variation -- The Stieltjes Integral -- The Improper Integral.
520
$a
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the students' mathematical intuition. The modular organization of the book makes it adaptable for either semester or year-long introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study. The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis.
650
0
$a
Mathematical analysis.
$3
527926
650
0
$a
Analysis (Mathematics).
$3
1253570
650
1 4
$a
Analysis.
$3
669490
700
1
$a
Sós, Vera T.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1253652
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9781493927654
776
0 8
$i
Printed edition:
$z
9781493927678
776
0 8
$i
Printed edition:
$z
9781493942220
830
0
$a
Undergraduate Texts in Mathematics,
$x
0172-6056
$3
1253653
856
4 0
$u
https://doi.org/10.1007/978-1-4939-2766-1
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入