國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

An invitation to analytic combinator...

Melczer, Stephen.

An invitation to analytic combinatoricsfrom one to several variables /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An invitation to analytic combinatoricsby Stephen Melczer.
其他題名:	from one to several variables /
其他題名:	Algorithmic and symbolic combinatorics :
作者:	Melczer, Stephen.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xviii, 418 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Combinatorial analysis.
電子資源:	https://doi.org/10.1007/978-3-030-67080-1
ISBN:	9783030670801$q(electronic bk.)

An invitation to analytic combinatoricsfrom one to several variables /
Melczer, Stephen.

An invitation to analytic combinatoricsfrom one to several variables /[electronic resource] :Algorithmic and symbolic combinatorics :an invitation to analytic combinatorics in several variablesby Stephen Melczer. - Cham :Springer International Publishing :2021. - xviii, 418 p. :ill., digital ;24 cm. - Texts & monographs in symbolic computation. - Texts & monographs in symbolic computation..

Introduction -- Background and Motivation -- Smooth ACSV and Applications -- Non-Smooth ACSV.

This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV) The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.

ISBN: 9783030670801$q(electronic bk.)

Standard No.: 10.1007/978-3-030-67080-1doiSubjects--Topical Terms:

182280
Combinatorial analysis.

LC Class. No.: QA164

Dewey Class. No.: 511.6

An invitation to analytic combinatoricsfrom one to several variables /
LDR:02403nmm a2200349 a 4500 001 596307
003 DE-He213
005 20201222212328.0
006 m d
007 cr nn 008maaau
008 211013s2021 sz s 0 eng d
020 $a 9783030670801$q(electronic bk.)
020 $a 9783030670795$q(paper)
024 7 $a 10.1007/978-3-030-67080-1 $2 doi
035 $a 978-3-030-67080-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA164
072 7 $a PBD $2 bicssc
072 7 $a MAT008000 $2 bisacsh
072 7 $a PBD $2 thema
082 0 4 $a 511.6 $2 23
090 $a QA164 $b .M518 2021
100 1 $a Melczer, Stephen. $3 889051
245 1 0 $a An invitation to analytic combinatorics $h [electronic resource] : $b from one to several variables / $c by Stephen Melczer.
246 3 $a Algorithmic and symbolic combinatorics : $b an invitation to analytic combinatorics in several variables
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xviii, 418 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts & monographs in symbolic computation
505 0 $a Introduction -- Background and Motivation -- Smooth ACSV and Applications -- Non-Smooth ACSV.
520 $a This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV) The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.
650 0 $a Combinatorial analysis. $3 182280
650 0 $a Computable functions. $3 190932
650 1 4 $a Discrete Mathematics. $3 524738
650 2 4 $a Symbolic and Algebraic Manipulation. $3 273720
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Algorithms. $3 184661
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Texts & monographs in symbolic computation. $3 726410
856 4 0 $u https://doi.org/10.1007/978-3-030-67080-1
950 $a Computer Science (SpringerNature-11645)