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商品描述
Geometry, of all the branches of mathematics, is the one that is most easily visualized by making something. However, it is all too easy to reduce it to reams of formulas to memorize and proofs to replicate. This book aims to take geometry back to its practical roots with 3D printed models and puzzles as well as demonstrations with household objects like flashlights and paper towel tubes.
This is not a traditional geometry textbook, but rather builds up understanding of geometry concepts while also bringing in elements of concepts normally learned much later. Some of the models are counterintuitive, and figuring out how and why they work will both entertain and give insights. Two final chapters suggesting open-ended projects in astronomy and physics, and art and architecture, allow for deeper understanding and integration of the learning in the rest of the book.
商品描述(中文翻譯)
幾何學是所有數學分支中,最容易透過實作來視覺化的。然而,將其簡化為大量的公式和需要記憶的證明卻是非常容易的。本書旨在透過3D列印模型和謎題,以及使用手電筒和紙巾管等家用品進行演示,將幾何學帶回其實用的根源。
這不是一本傳統的幾何學教科書,而是透過建立對幾何概念的理解,同時引入通常在更晚階段學習的概念元素來進行的學習。一些模型可能會讓人感到違和,理解它們如何運作及其原因將既有趣又能提供洞見。最後兩章建議在天文學、物理學以及藝術和建築方面的開放式專案,讓讀者能更深入理解並整合本書其餘部分的學習。