矢量是什么

矢量是什么

[澳] 罗宾·阿里安霍德

40,78 €
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Editorial:
Indy Pub
Año de edición:
2025
Materia
Ciencia: cuestiones generales
ISBN:
9798349503467

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数学起源于五千年前的美索不达米亚,但作为将大小和方向融于一体的矢量概念,则直到19世纪才得到正式的命名。在它的辅助下,麦克斯韦的电磁理论、狄拉克的量子场论、诺特关于数学对称性与能量守恒的关联等重大发现不断突破了人们的认知。直至今日,全球定位系统、搜索引擎、人工智能生成文本等技术依然要仰仗矢量的强大作用。矢量和张量以及微积分提供了一种优雅的语言,用于表达事物在空间和时间中的行为方式。在这本书中,作者向我们展示了物理学家和数学家如何用这种全新的方式思考。这些物理学家和数学家包括开启无限电磁时代的詹姆斯·克拉克·麦克斯韦,预测了时空弯曲和引力波的存在的爱因斯坦,建立量子场论的保罗·狄拉克,以及将数学对称性与能量守恒联系起来的埃米·诺特。矢量和张量不仅可以代表物理量和维度,还可以代表其他维度和其他类型的信息。这就是为什么物理学家和数学家可以谈论四维时空和其他更高维度的'空间',以及为什么当你使用搜索引擎、GPS或手机等数字应用时,很可能依赖于矢量或张量。在探索向量和张量的演变过程中,作者带领读者踏上了一次历时五千年的想象力之旅。她为我们呈现了这段历史中熠熠生辉的天才数学家的有趣故事,以及一个巧妙的数学概念是如何主宰科学发现的方向的。

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