| 书目名称 | Formalization of Complex Analysis and Matrix Theory | | 编辑 | Zhiping Shi,Yong Guan,Ximeng Li | | 视频video | | | 概述 | Describes the computer-assisted formalization of complex analysis and matrix theory.Includes both the formalization of theoretical results and the verification of algorithms that are practically used. | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2020 | | 关键词 | Formalization of Mathematical Theories; Mechanization of Mathematical Theories; Formal Verification of | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-15-7261-6 | | isbn_softcover | 978-981-15-7263-0 | | isbn_ebook | 978-981-15-7261-6 | | copyright | Tsinghua University Press and Springer Nature Singapore Pte Ltd. 2020 |
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发表于 2025-3-21 17:29:27
