大葉大學圖書館 |

Real analysis[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515
書名/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.
標題:	Mathematics.
標題:	Measure and Integration.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Partial Differential Equations.
標題:	Approximations and Expansions.
標題:	Applications of Mathematics.
ISBN:	9781493940059
ISBN:	9781493940035
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-4005-9

Real analysis[electronic resource] /
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:

227335
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Real analysis[electronic resource] /
LDR:02890nmm a2200325 a 4500 001 466454
003 DE-He213
005 20160917120750.0
006 m d
007 cr nn 008maaau
008 170415s2016 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 465758
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 227335
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Measure and Integration. $3 464140
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 464715
650 2 4 $a Partial Differential Equations. $3 464931
650 2 4 $a Approximations and Expansions. $3 464139
650 2 4 $a Applications of Mathematics. $3 463820
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Birkhauser advanced texts basler lehrbucher. $3 671267
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-4005-9
950 $a Mathematics and Statistics (Springer-11649)