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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	August 2020
Genre:	Schulbücher
	AlgebraicSystems / Angewandte Mathematik / FormalizationofComplexAnalysis / FormalizationofMathematicalTheories / FormalizationofMatrixTheory / FormalVerificationofComputerAlgorithms(FormalVerification) / Fourieranalysis / FunctionMatrices / GaugeIntegrationInner-productSpaces / higherorderlogic / InteractiveTheoremProvers / interactivetheoremproving / Mathematik für Ingenieure / MechanizationofMathematicalTheories / proofassistants mehr...
ISBN:	9789811572609
EAN-Code:	9789811572609
Verlag:	Springer
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 241 mm / B 160 mm / D 16 mm
Gewicht:	442 gr
Seiten:	180
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.