國立虎尾科技大學 |

Formalization of Complex Analysis and Matrix Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Formalization of Complex Analysis and Matrix Theory/ by Zhiping Shi, Yong Guan, Ximeng Li.
作者:	Shi, Zhiping.
其他作者:	Guan, Yong.
面頁冊數:	X, 168 p. 357 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Applied mathematics. -
電子資源:	https://doi.org/10.1007/978-981-15-7261-6
ISBN:	9789811572616

Formalization of Complex Analysis and Matrix Theory
Shi, Zhiping.

Formalization of Complex Analysis and Matrix Theory[electronic resource] /by Zhiping Shi, Yong Guan, Ximeng Li. - 1st ed. 2020. - X, 168 p. 357 illus.online resource.

Introduction -- Algebraic Systems -- Complex Numbers -- Gauge Integration -- FourierTransformation -- Discrete Fourier Transformation -- Matrices.

This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematical theories.

ISBN: 9789811572616

Standard No.: 10.1007/978-981-15-7261-6doiSubjects--Topical Terms:

1069907
Applied mathematics.

LC Class. No.: T57-57.97

Dewey Class. No.: 519

Formalization of Complex Analysis and Matrix Theory
LDR:02486nam a22003975i 4500 001 1021779
003 DE-He213
005 20200810135051.0
007 cr nn 008mamaa
008 210318s2020 si | s |||| 0|eng d
020 $a 9789811572616 $9 978-981-15-7261-6
024 7 $a 10.1007/978-981-15-7261-6 $2 doi
035 $a 978-981-15-7261-6
050 4 $a T57-57.97
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBW $2 thema
082 0 4 $a 519 $2 23
100 1 $a Shi, Zhiping. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1317461
245 1 0 $a Formalization of Complex Analysis and Matrix Theory $h [electronic resource] / $c by Zhiping Shi, Yong Guan, Ximeng Li.
250 $a 1st ed. 2020.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a X, 168 p. 357 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
505 0 $a Introduction -- Algebraic Systems -- Complex Numbers -- Gauge Integration -- FourierTransformation -- Discrete Fourier Transformation -- Matrices.
520 $a This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematical theories.
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a Computer science—Mathematics. $3 1253519
650 1 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Mathematical and Computational Engineering. $3 1139415
650 2 4 $a Mathematics of Computing. $3 669457
700 1 $a Guan, Yong. $e editor. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1271503
700 1 $a Li, Ximeng. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1317462
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811572609
776 0 8 $i Printed edition: $z 9789811572623
776 0 8 $i Printed edition: $z 9789811572630
856 4 0 $u https://doi.org/10.1007/978-981-15-7261-6
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)