國立虎尾科技大學 |

Linear Differential Equations in the Complex Domain = From Classical Theory to Forefront /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Linear Differential Equations in the Complex Domain/ by Yoshishige Haraoka.
其他題名:	From Classical Theory to Forefront /
作者:	Haraoka, Yoshishige.
面頁冊數:	XIII, 396 p. 47 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Global Analysis and Analysis on Manifolds. -
電子資源:	https://doi.org/10.1007/978-3-030-54663-2
ISBN:	9783030546632

Linear Differential Equations in the Complex Domain = From Classical Theory to Forefront /
Haraoka, Yoshishige.

Linear Differential Equations in the Complex DomainFrom Classical Theory to Forefront /[electronic resource] :by Yoshishige Haraoka. - 1st ed. 2020. - XIII, 396 p. 47 illus.online resource. - Lecture Notes in Mathematics,22710075-8434 ;. - Lecture Notes in Mathematics,2144.

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations. .

ISBN: 9783030546632

Standard No.: 10.1007/978-3-030-54663-2doiSubjects--Topical Terms:

672519
Global Analysis and Analysis on Manifolds.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Linear Differential Equations in the Complex Domain = From Classical Theory to Forefront /
LDR:02400nam a22003975i 4500 001 1026363
003 DE-He213
005 20201116135203.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030546632 $9 978-3-030-54663-2
024 7 $a 10.1007/978-3-030-54663-2 $2 doi
035 $a 978-3-030-54663-2
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 Haraoka, Yoshishige. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1173221
245 1 0 $a Linear Differential Equations in the Complex Domain $h [electronic resource] : $b From Classical Theory to Forefront / $c by Yoshishige Haraoka.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XIII, 396 p. 47 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 Lecture Notes in Mathematics, $x 0075-8434 ; $v 2271
520 $a This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations. .
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 672519
650 2 4 $a Special Functions. $3 672152
650 2 4 $a Functions of a Complex Variable. $3 672126
650 1 4 $a Analysis. $3 669490
650 0 $a Manifolds (Mathematics). $3 1051266
650 0 $a Global analysis (Mathematics). $3 1255807
650 0 $a Special functions. $3 1257411
650 0 $a Functions of complex variables. $3 528649
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Mathematical analysis. $3 527926
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030546625
776 0 8 $i Printed edition: $z 9783030546649
830 0 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2144 $3 1254300
856 4 0 $u https://doi.org/10.1007/978-3-030-54663-2
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-LNM
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)