國立虎尾科技大學 |

Analysis = from concepts to applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analysis/ by Jean-Paul Penot.
其他題名:	from concepts to applications /
作者:	Penot, Jean-Paul.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xxiii, 669 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Mathematical analysis. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-32411-1
ISBN:	9783319324111

Analysis = from concepts to applications /
Penot, Jean-Paul.

Analysisfrom concepts to applications /[electronic resource] :by Jean-Paul Penot. - Cham :Springer International Publishing :2016. - xxiii, 669 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

Sets, Orders, Relations and Measures -- Encounters With Limits -- Elements of Functional Analysis -- Hilbert Spaces -- The Power of Differential Calculus -- A Touch of Convex Analysis -- Integration -- Differentiation and Integration -- Partial Differential Equations -- Evolution Problems -- References -- Index.

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book's style and layout make it suitable for use in several courses, while its self-contained character make it appropriate for self-study.

ISBN: 9783319324111

Standard No.: 10.1007/978-3-319-32411-1doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515.7

Analysis = from concepts to applications /
LDR:02590nam a2200325 a 4500 001 868696
003 DE-He213
005 20161219084144.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319324111 $q (electronic bk.)
020 $a 9783319324098 $q (paper)
024 7 $a 10.1007/978-3-319-32411-1 $2 doi
035 $a 978-3-319-32411-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA300
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.7 $2 23
090 $a QA300 $b .P416 2016
100 1 $a Penot, Jean-Paul. $3 1073022
245 1 0 $a Analysis $h [electronic resource] : $b from concepts to applications / $c by Jean-Paul Penot.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxiii, 669 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a Sets, Orders, Relations and Measures -- Encounters With Limits -- Elements of Functional Analysis -- Hilbert Spaces -- The Power of Differential Calculus -- A Touch of Convex Analysis -- Integration -- Differentiation and Integration -- Partial Differential Equations -- Evolution Problems -- References -- Index.
520 $a This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book's style and layout make it suitable for use in several courses, while its self-contained character make it appropriate for self-study.
650 0 $a Mathematical analysis. $3 527926
650 0 $a Mathematics. $3 527692
650 0 $a Functional analysis. $3 527706
650 0 $a Measure theory. $3 527848
650 0 $a Differential equations, Partial. $3 527784
650 0 $a Measure and Integration. $3 672015
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Partial Differential Equations. $3 671119
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Universitext. $3 881573
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-32411-1
950 $a Mathematics and Statistics (Springer-11649)