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＜電子ブック＞
Formalization of Complex Analysis and Matrix Theory / by Zhiping Shi, Yong Guan, Ximeng Li

版	1st ed. 2020.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2020
本文言語	英語
大きさ	X, 168 p. 357 illus : online resource
著者標目	*Shi, Zhiping author Guan, Yong author Li, Ximeng author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Applications of Mathematics FREE:Mathematical and Computational Engineering Applications FREE:Mathematics of Computing
一般注記	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 mathematicaltheories HTTP:URL=https://doi.org/10.1007/978-981-15-7261-6

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