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A very short chapter on complex num- bers is sufficient to supply the needed background for the minor role played by complex numbers in the remainder of the text. Mathematical applications in in- termediate and advanced undergraduate courses in physics are often in the form of ordinary or partial differential equations. Ordinary differential equations are introduced in Chapter 5. The ubiquitous simple harmonic oscillator is used to il- lustrate the series method of solving an ordinary, linear, second-order differential equation. 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The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe- matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A wide range of problems exists in classical and quantum physics, engi- neering, and applied mathematics in which special functions arise. The procedure followed in most texts on these topics (e. g., quantum mechanics, electrodynamics, modern physics, classical mechanics, etc. ) is to formu- late the problem as a differential equation that is related to one of several special differential equations (Hermite's, Bessel's, Laguerre's, Legendre's, etc. ).","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52137104802065,"sku":"NLS9780387975580","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52735200067857,"sku":"NIN9780387975580","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387975580.jpg?v=1757556746"},{"product_id":"understanding-the-universe-book-james-b-seaborn-9781461268680","title":"Understanding the Universe","description":"For the last eighteen years, I have been teaching an introductory course in as- trophysics. 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