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Springer Formalization of Complex Analysis and Matrix Theory - HOL4

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Description

This comprehensive text explores the formalization of complex analysis and matrix theory using HOL4, the interactive theorem prover developed at the University of Cambridge. The book covers essential mathematical foundations including algebraic systems, complex numbers, gauge integration, Fourier transformation and its discrete counterpart, matrices and their transformations, inner product spaces, and function matrices. Designed for mathematicians and computer scientists, it demonstrates how formal verification techniques can establish rigorous proofs for advanced mathematical concepts. Many of the developments presented have become integral parts of HOL4's library, making this an invaluable resource for understanding formal methods in mathematics and their practical applications in computational theory.

Key Features

Covers complex analysis and matrix theory formalization using the HOL4 theorem prover from Cambridge University.

Explores algebraic systems, complex numbers, gauge integration, and Fourier transformation techniques with formal verification.

Discusses matrices, transformations, inner product spaces, and function matrices in a rigorous mathematical framework.

Features developments that are now part of the official HOL4 library, providing production-ready formal mathematics.

Combines theoretical foundations with practical applications for computer scientists and advanced mathematics researchers.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
12 August 2021
Listed Since
15 July 2021

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