‘Groups’ Underpin Modern Math. Here’s How They Work. – Quanta Magazine https://www.quantamagazine.org Illuminating science Mon, 16 Sep 2024 14:10:47 -0400 en-US hourly 1 https://wordpress.org/?v=6.2 ‘Groups’ Underpin Modern Math. Here’s How They Work. https://www.quantamagazine.org/groups-underpin-modern-math-heres-how-they-work-20240906/ https://www.quantamagazine.org/groups-underpin-modern-math-heres-how-they-work-20240906/#respond Fri, 06 Sep 2024 15:05:01 +0000 https://www.quantamagazine.org/?p=140376 The post ‘Groups’ Underpin Modern Math. Here’s How They Work. first appeared on Quanta Magazine

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Mathematics started with numbers — clear, concrete, intuitive. Over the last two centuries, however, it has become a far more abstract enterprise. One of the first major steps down this road was taken in the late 18th and early 19th centuries. It involved a field called group theory, and it changed math — theoretical and applied — as we know it. Groups generalize essential properties of the whole...

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