The Pythagorean Theorem

The Pythagorean Theorem pdf epub mobi txt 电子书 下载 2026

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出版者:Princeton Univ Pr
作者:Maor, Eli
出品人:
页数:286
译者:
出版时间:2007-6
价格:$ 28.19
装帧:HRD
isbn号码:9780691125268
丛书系列:
图书标签:
  • 数学
  • 几何
  • 勾股定理
  • 三角形
  • 直角三角形
  • 数学史
  • 定理
  • 证明
  • 教育
  • 学习
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具体描述

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a future president of the United States. Here - perhaps for the first time in English - is the full story of this famous theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years before him. He may have been the first to prove it, but his proof - if indeed he had one - is lost to us. Euclid immortalized it as Proposition 47 in his Elements, and it is from there that it has passed down to generations of students. The theorem is central to almost every branch of science, pure or applied. It has even been proposed as a means to communicate with extraterrestrial beings, if and when we discover them. And, expanded to four-dimensional space-time, it plays a pivotal role in Einstein's theory of relativity. In this book, Eli Maor brings to life many of the characters that played a role in the development of the Pythagorean theorem, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

这本书以严谨而深入的方式呈现了经典的几何原理之一——欧几里得的勾股定理。它不仅详细解释了这一理论的历史背景,还通过清晰的逻辑推理和丰富的实例,帮助读者全面理解其背后的数学意涵。这本书注重知识的传递,而非简单地列出事实,其内容结构紧凑而富有层次。每一章都从基本概念出发,逐步引导读者深入探讨该定理在不同领域中的应用,无论是数学、物理还是工程学,都展现出其广泛的价值。 书中详细描述了勾股定理的原理,强调其作为一个基础数学工具的重要性。通过图示和逻辑演绎,该书将抽象的几何概念变得具体易懂,同时还引入了实际生活中的应用场景,如建筑规划、测量距离以及物理运动轨迹等。这种多维度的呈现方式,不仅帮助读者掌握理论知识,还能激发他们对数学问题的思考与探索欲望。 书籍采用简洁而有力的语言,避免了过多的公式堆积和繁琐的表述,使得阅读过程流畅自然。作者在每一部分均注重逻辑的连贯性,从定义、原理到应用,都做了充分的讲解与分析。这样的安排让读者能更好地理解背后的数学精神,而不被冗长的描述打扰。 此外,书中还包含许多历史背景和相关文化故事,帮助读者更好地认识这一理论在不同历史时期的重要性。通过这些细节的补充,使得书籍不仅是一本学习工具,更成为一部富有教育价值的读物。这种全面的介绍方式,无疑提升了读者对知识的理解深度和广度。 整体而言,这本书以系统性、清晰性和深度为核心,旨在让每位读者不仅掌握知识,更能体会其背后的美妙与严谨。它适合那些希望深入学习数学原理,并将其应用于实际生活的人们,无论是学生还是爱好者,都能从中受益。 通过这本书,读者将能够全面了解欧几里得的勾股定理及其在现代科学和工程中的重要性。在结构严谨、内容丰富的设计中,这本书不仅是一篇课本,更是一堂无形的知识讲授课程。无论是初学者还是高级读者,都能从这里获得深刻而有价值的启发,进一步增强对数学这一学科的理解与应用能力。

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