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Formalization of Complex Analysis and Matrix Theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Formalization of Complex Analysis and Matrix Theory/ by Zhiping Shi, Yong Guan, Ximeng Li.
Author:	Shi, Zhiping.
other author:	Guan, Yong.
Description:	X, 168 p. 357 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Applied mathematics. -
Online resource:	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
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