Chris Bernhardt の新刊 Beautiful Math 9月刊行予定

ベストセラー「Quantum Coputing for Everyone」「みんなの量子コンピューター(翔泳社)」の著者Chris Bernhardt の新刊です。

美しい数学:
デジタル革命をもたらした驚くほどシンプルなアイデア
Beautiful Math:
The Surprisingly Simple Ideas behind the Digital Revolution in How We Live, Work, and Communicate

●著者:Chris Bernhardt
●出版社:The MIT Press
●ISBN:978-0-262-54977-6
●刊行:2024年9月
●hardcover/240P
●数学:概論

Most of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution. In Beautiful Math, Chris Bernhardt explores the mathematics at the very heart of the information age. He asks questions such as: What is information? What advantages does digital information have over analog? How do we convert analog signals into digital ones? What is an algorithm? What is a universal computer? And how can a machine learn?
The four major themes of Beautiful Math are information, communication, computation, and learning. Bernhardt typically starts with a simple mathematical model of an important concept, then reveals a deep underlying structure connecting concepts from what, at first, appear to be unrelated areas. His goal is to present the concepts using the least amount of mathematics, but nothing is oversimplified. Along the way, Bernhardt also discusses alphabets, the telegraph, and the analog revolution; information theory; redundancy and compression; errors and noise; encryption; how analog information is converted into digital information; algorithms; and, finally, neural networks. Historical anecdotes are included to give a sense of the technology at that time, its impact, and the problems that needed to be solved.

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