000			01893nam a22003135i 4500
001			90962
005			20231026102328.0
010			_a978-981-15-7261-6 _dcompra
090			_a90962
100			_a20231023d2020 k||y0pory50 ba
101	0		_aeng
102			_aSG
200	1		_aFormalization of complex analysis and matrix theory _bDocumento eletrónico _fby Zhiping Shi, Yong Guan, Ximeng Li
210			_aSingapore _cSpringer Nature Singapore _cSpringer _d2020
215			_aX, 168 p. _cil.
303			_aThis 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.
606			_aMathematics
606			_aEngineering mathematics
606			_aEngineering _xData processing
606			_aComputer science _xMathematics
680			_aT57-57.97
700	1		_aShi _bZhiping
701	1		_aGuan _bYong
701	1		_aLi _bXimeng
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-981-15-7261-6
942			_2lcc _cF _n0