{"product_id":"mathematical-methods-for-oscillations-and-waves-hardback-9781108488228","title":"Mathematical Methods for Oscillations and Waves (Hardback) 9781108488228","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMathematical Methods for Oscillations and Waves\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAnchored in simple physics problems, the author provides a focused introduction to mathematical methods in a structured manner.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJoel Franklin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108488228, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 5 March 2020\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e272 pages, 88 b\/w illus.\u003cbr\u003e25.3 x 19.5 x 1.5 cm, 0.75 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'In this book Franklin (Reed College) presents a lively, efficient introduction to the mathematical methods of the harmonic oscillator and wave equations. The study of the mathematical methods is motivated by diverse but related physical problems. The level of this presentation is suitable for sophomore college-level students of physics and mathematics … Over 80 graphs support the narrative and enhance its accessibility. The approximately 300 exercises are interesting, frequently challenging, and serve to reinforce the discussion.' D. P. Turner, Choice\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAnchored in simple and familiar physics problems, the author provides a focused introduction to mathematical methods in a narrative driven and structured manner. Ordinary and partial differential equation solving, linear algebra, vector calculus, complex variables and numerical methods are all introduced and bear relevance to a wide range of physical problems. Expanded and novel applications of these methods highlight their utility in less familiar areas, and advertise those areas that will become more important as students continue. This highlights both the utility of each method in progressing with problems of increasing complexity while also allowing students to see how a simplified problem becomes 're-complexified'. Advanced topics include nonlinear partial differential equations, and relativistic and quantum mechanical variants of problems like the harmonic oscillator. Physics, mathematics and engineering students will find 300 problems treated in a sophisticated manner. The insights emerging from Franklin's treatment make it a valuable teaching resource.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Harmonic oscillator\u003cbr\u003e 2. Damped harmonic oscillator\u003cbr\u003e 3. Coupled oscillators\u003cbr\u003e 4. The wave equation\u003cbr\u003e 5. Integration\u003cbr\u003e 6. Waves in three dimensions\u003cbr\u003e 7. Other wave equations\u003cbr\u003e 8. Numerical methods\u003cbr\u003e Appendix A. Solving ODE's: a roadmap\u003cbr\u003e Appendix B. Vector calculus: curvilinear coordinates\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Wave mechanics [\u003ca title=\"See our other books on Wave mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Wave%20mechanics%20%5Bvibration%20\u0026amp;%20acoustics%5D%20%5BPHDS%5D%22\"\u003evibration \u0026amp; acoustics PHDS\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\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":46005334311192,"sku":"9781108488228","price":49.58,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108488228i.jpg?v=1696706533","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/mathematical-methods-for-oscillations-and-waves-hardback-9781108488228","provider":"Freshly Printed Books","version":"1.0","type":"link"}