國立虎尾科技大學 |

Research Topics in Analysis, Volume I = Grounding Theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Research Topics in Analysis, Volume I/ by Shouchuan Hu, Nikolaos S. Papageorgiou.
其他題名:	Grounding Theory /
作者:	Hu, Shouchuan.
其他作者:	Papageorgiou, Nikolaos S.
面頁冊數:	XIII, 535 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Calculus of Variations and Optimization. -
電子資源:	https://doi.org/10.1007/978-3-031-17837-5
ISBN:	9783031178375

Research Topics in Analysis, Volume I = Grounding Theory /
Hu, Shouchuan.

Research Topics in Analysis, Volume IGrounding Theory /[electronic resource] :by Shouchuan Hu, Nikolaos S. Papageorgiou. - 1st ed. 2022. - XIII, 535 p.online resource. - Birkhäuser Advanced Texts Basler Lehrbücher,2296-4894. - Birkhäuser Advanced Texts Basler Lehrbücher,.

Volume I - Theory: - Topology -- Measure Theory -- Banach Space Theory -- Function Spaces -- Multivalued Analysis -- Smooth and Nonsmooth Calculus -- Nonlinear Operators -- Variational Analysis -- References.

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. Each chapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume. By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.

ISBN: 9783031178375

Standard No.: 10.1007/978-3-031-17837-5doiSubjects--Topical Terms:

1366302
Calculus of Variations and Optimization.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Research Topics in Analysis, Volume I = Grounding Theory /
LDR:03184nam a22004095i 4500 001 1086074
003 DE-He213
005 20221129224820.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031178375 $9 978-3-031-17837-5
024 7 $a 10.1007/978-3-031-17837-5 $2 doi
035 $a 978-3-031-17837-5
050 4 $a QA319-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
100 1 $a Hu, Shouchuan. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1392723
245 1 0 $a Research Topics in Analysis, Volume I $h [electronic resource] : $b Grounding Theory / $c by Shouchuan Hu, Nikolaos S. Papageorgiou.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2022.
300 $a XIII, 535 p. $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 Birkhäuser Advanced Texts Basler Lehrbücher, $x 2296-4894
505 0 $a Volume I - Theory: - Topology -- Measure Theory -- Banach Space Theory -- Function Spaces -- Multivalued Analysis -- Smooth and Nonsmooth Calculus -- Nonlinear Operators -- Variational Analysis -- References.
520 $a This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. Each chapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume. By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.
650 2 4 $a Calculus of Variations and Optimization. $3 1366302
650 1 4 $a Functional Analysis. $3 672166
650 0 $a Calculus of variations. $3 527927
650 0 $a Mathematical optimization. $3 527675
650 0 $a Topology. $3 633483
650 0 $a Functional analysis. $3 527706
700 1 $a Papageorgiou, Nikolaos S. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 898647
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031178368
776 0 8 $i Printed edition: $z 9783031178382
776 0 8 $i Printed edition: $z 9783031178399
830 0 $a Birkhäuser Advanced Texts Basler Lehrbücher, $x 1019-6242 $3 1258676
856 4 0 $u https://doi.org/10.1007/978-3-031-17837-5
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)