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Springer - Formalization of Complex Analysis and Matrix Theory

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Description

Explore the intersection of advanced mathematics and computer science with this Springer publication. This book provides a detailed look at the formalization of mathematical theories, specifically focusing on complex analysis and matrix theory. By using the HOL4 interactive theorem prover, developed at the University of Cambridge, the text demonstrates how mathematical structures can be rigorously verified through computational methods. The content covers a wide range of essential topics, including algebraic systems, complex numbers, and gauge integration. Readers will also find in-depth discussions on the Fourier transformation and its discrete counterpart, as well as matrices, their transformations, inner product spaces, and function matrices. Many of the mathematical developments presented in this work have become integral parts of the HOL4 library, making this a foundational resource for those studying formal verification and mathematical logic.

Key Features

Covers fundamental mathematical topics including complex numbers, algebraic systems, and gauge integration for advanced study.

Provides detailed instruction on the Fourier transformation and its discrete counterpart within a formal framework.

Explores matrix theory through discussions on matrices, their transformations, and function matrices.

Utilizes the HOL4 interactive theorem prover developed at the University of Cambridge for mathematical formalization.

Includes mathematical developments that are now integral parts of the HOL4 library for verified computing.

Examines inner product spaces and complex analysis through the lens of formal mathematical verification.

Product Specifications

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

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No barcode data available

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