Beautiful Math: The Surprisingly Simple Ideas Behind the Digital Revolution in How We Live, Work, and Communicate
暫譯: 美麗的數學：數位革命背後意想不到的簡單理念，改變我們的生活、工作與溝通方式
Bernhardt, Chris
- 出版商: MIT
- 出版日期: 2024-09-17
- 售價: $1,200
- 貴賓價: 9.5 折 $1,140
- 語言: 英文
- 頁數: 240
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0262549778
- ISBN-13: 9780262549776
海外代購書籍(需單獨結帳)
相關主題
商品描述
From the bestselling author of Quantum Computing for Everyone, a concise, accessible, and elegant approach to mathematics that not only illustrates concepts but also conveys the surprising nature of the digital information age.
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. Taking its readers by the hand, regardless of their math background, Beautiful Math is a fascinating journey through the mathematical ideas that undergird our everyday digital interactions.
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. Taking its readers by the hand, regardless of their math background, Beautiful Math is a fascinating journey through the mathematical ideas that undergird our everyday digital interactions.
商品描述(中文翻譯)
來自暢銷書《人人都能懂的量子計算》的作者，這本書提供了一種簡潔、易懂且優雅的數學方法，不僅闡明了概念，還傳達了數位資訊時代的驚人特性。
作者簡介
Chris Bernhardt was a professor of mathematics at Fairfield University for over thirty years before he retired. His books include Turing's Vision: The Birth of Computer Science and Quantum Computing for Everyone, both published by the MIT Press.
作者簡介(中文翻譯)
克里斯·伯恩哈特（Chris Bernhardt）在費爾菲爾德大學（Fairfield University）擔任數學教授超過三十年，直到退休。他的著作包括《圖靈的視野：計算機科學的誕生》（Turing's Vision: The Birth of Computer Science）和《量子計算入門》（Quantum Computing for Everyone），兩本書均由麻省理工學院出版社（MIT Press）出版。
