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
~
DiBenedetto, Emmanuele.
Real analysis
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Real analysis/ by Emmanuele DiBenedetto.
作者:
DiBenedetto, Emmanuele.
出版者:
New York, NY :Springer New York : : 2016.,
面頁冊數:
xxxii, 596 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
標題:
Mathematical analysis. -
電子資源:
http://dx.doi.org/10.1007/978-1-4939-4005-9
ISBN:
9781493940059
Real analysis
DiBenedetto, Emmanuele.
Real analysis
[electronic resource] /by Emmanuele DiBenedetto. - 2nd ed. - New York, NY :Springer New York :2016. - xxxii, 596 p. :ill., digital ;24 cm. - Birkhauser advanced texts basler lehrbucher,1019-6242. - Birkhauser advanced texts basler lehrbucher..
The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a "Problems and Complements" section that includes additional material that briefly expands on certain topics within the chapter and numerous exercises for practicing the key concepts. The first eight chapters explore all of the basic topics for training in real analysis, beginning with a review of countable sets before moving on to detailed discussions of measure theory, Lebesgue integration, Banach spaces, functional analysis, and weakly differentiable functions. More topical applications are discussed in the remaining chapters, such as maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. This second edition has been completely revised and updated and contains a variety of new content and expanded coverage of key topics, such as new exercises on the calculus of distributions, a proof of the Riesz convolution, Steiner symmetrization, and embedding theorems for functions in Sobolev spaces. Ideal for either classroom use or self-study, Real Analysis is an excellent textbook both for students discovering real analysis for the first time and for mathematicians and researchers looking for a useful resource for reference or review. Praise for the First Edition: "[This book] will be extremely useful as a text. There is certainly enough material for a year-long graduate course, but judicious selection would make it possible to use this most appealing book in a one-semester course for well-prepared students." --Mathematical Reviews.
ISBN: 9781493940059
Standard No.: 10.1007/978-1-4939-4005-9doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA300
Dewey Class. No.: 515
Real analysis
LDR
:02890nam a2200325 a 4500
001
867187
003
DE-He213
005
20160917120750.0
006
m d
007
cr nn 008maaau
008
170720s2016 nyu s 0 eng d
020
$a
9781493940059
$q
(electronic bk.)
020
$a
9781493940035
$q
(paper)
024
7
$a
10.1007/978-1-4939-4005-9
$2
doi
035
$a
978-1-4939-4005-9
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA300
072
7
$a
PBKL
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
082
0 4
$a
515
$2
23
090
$a
QA300
$b
.D544 2016
100
1
$a
DiBenedetto, Emmanuele.
$3
782447
245
1 0
$a
Real analysis
$h
[electronic resource] /
$c
by Emmanuele DiBenedetto.
250
$a
2nd ed.
260
$a
New York, NY :
$b
Springer New York :
$b
Imprint: Birkhauser,
$c
2016.
300
$a
xxxii, 596 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Birkhauser advanced texts basler lehrbucher,
$x
1019-6242
520
$a
The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a "Problems and Complements" section that includes additional material that briefly expands on certain topics within the chapter and numerous exercises for practicing the key concepts. The first eight chapters explore all of the basic topics for training in real analysis, beginning with a review of countable sets before moving on to detailed discussions of measure theory, Lebesgue integration, Banach spaces, functional analysis, and weakly differentiable functions. More topical applications are discussed in the remaining chapters, such as maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. This second edition has been completely revised and updated and contains a variety of new content and expanded coverage of key topics, such as new exercises on the calculus of distributions, a proof of the Riesz convolution, Steiner symmetrization, and embedding theorems for functions in Sobolev spaces. Ideal for either classroom use or self-study, Real Analysis is an excellent textbook both for students discovering real analysis for the first time and for mathematicians and researchers looking for a useful resource for reference or review. Praise for the First Edition: "[This book] will be extremely useful as a text. There is certainly enough material for a year-long graduate course, but judicious selection would make it possible to use this most appealing book in a one-semester course for well-prepared students." --Mathematical Reviews.
650
0
$a
Mathematical analysis.
$3
527926
650
1 4
$a
Mathematics.
$3
527692
650
2 4
$a
Measure and Integration.
$3
672015
650
2 4
$a
Calculus of Variations and Optimal Control; Optimization.
$3
593942
650
2 4
$a
Partial Differential Equations.
$3
671119
650
2 4
$a
Approximations and Expansions.
$3
672153
650
2 4
$a
Applications of Mathematics.
$3
669175
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Birkhauser advanced texts basler lehrbucher.
$3
1071992
856
4 0
$u
http://dx.doi.org/10.1007/978-1-4939-4005-9
950
$a
Mathematics and Statistics (Springer-11649)
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