| 書目名稱 | Mathematics and Mechanics - The Interplay | | 副標題 | Volume I: The Basics | | 編輯 | Luigi Morino | | 視頻video | http://file.papertrans.cn/627/626838/626838.mp4 | | 概述 | Covers mathematics and mechanics, in an integrated fashion, from an elementary to an advanced level.Real self contained book, each statement is proven; without using terms like "one may show that ... | | 圖書封面 |  | | 描述 | .Mathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the “divine proportion" used by Phidias and many other artists and enshrined in Leonardo‘s Vitruvian Man, shown on the front cover), and the Fibonacci spiral (observable in botany, e.g., in the placement of sunflower seeds); is the coast of Tuscany infinitely long?; the equal-time free fall of a feather and a lead ball in a vacuum; a simple diagnostic for changing your car‘s shocks; the Kepler laws of the planets; the dynamics of the Sun-Earth-Moon system; the tides‘ mechanism; the laws of friction and a wheel rolling down a partially icy slope; and many more...The style is colloquial. The emphasis is on intuition - lengthy but intuitive proofs are preferred to simple non-intuitive ones. The mathematical/mechanical sophistication gradually increases, making the volume widely accessible. Intuitionis not at the expense of rigor. Except for grammar-school material, every statement that is later used is rigorously proven. Guidelines that facilitate the reading of the book are presented...The interplay betw | | 出版日期 | Book 2021 | | 關鍵詞 | Interplay between Mathematics and Mechanics; Mathematics and Mechanics; Mechancs and Mathematics; Basic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-63207-9 | | isbn_ebook | 978-3-662-63207-9 | | copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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