{"product_id":"elements-of-the-theory-of-resonance-illustrated-by-the-motion-of-a-pendulum-paperback-9781107659759","title":"Elements of the Theory of Resonance; Illustrated by the Motion of a Pendulum (Paperback \/ softback) 9781107659759","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eElements of the Theory of Resonance\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eIllustrated by the Motion of a Pendulum\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis 1932 text attempts to describe and analyze the phenomena peculiar to resonance in an elementary manner.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eE. W. Brown (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107659759, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 June 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e66 pages\u003cbr\u003e23.5 x 15.6 x 0.3 cm, 0.13 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eErnest William Brown (1866–1938) was a prominent British mathematician and astronomer renowned for his contribution to the study of lunar motion. Originally published in 1932, this concise volume was based on a series of lectures given at the Rice Institute during April 1931. It consists of an attempt to describe and analyse the phenomena which are peculiar to resonance in an elementary manner. Although of fundamental importance to many mechanical problems, this subject had received comparatively little attention in textbooks at the time of publication. Treatment consists of an investigation of the changes which take place in the amplitude and phase of a vibrating element under certain types of forces. This book will be of value to anyone with an interest in Brown's writings and the theorization of resonance.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1i. The equation d2x\/dt2 + k2 sin x = 0\u003cbr\u003e 1ii. Method of approximation\u003cbr\u003e 1iii. The generalized equation d2x\/dt2 + f' (x) = 0\u003cbr\u003e 2. Solutions of d2x\/dt2 + f' (x) = mø' (x, t)\u003cbr\u003e 3. Application to the pendulum with an oscillating support\u003cbr\u003e 4. Applications to the mutual influence of two pendulums\u003cbr\u003e 5. Solutions of d2x\/dt2 + k2x = mø' (x, t)\u003cbr\u003e 6. The effect of friction.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265839714584,"sku":"9781107659759","price":18.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107659759i.jpg?v=1694507186","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/elements-of-the-theory-of-resonance-illustrated-by-the-motion-of-a-pendulum-paperback-9781107659759","provider":"Freshly Printed Books","version":"1.0","type":"link"}