{"product_id":"waves-and-oscillations-a-prelude-to-quantum-mechanics","title":"Waves and Oscillations: A Prelude to Quantum Mechanics","description":"\u003cp\u003eWaves and oscillations permeate virtually every field of current physics research  are central to chemistry  and are essential to much of engineering. Furthermore  the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for quantum mechanics. Once they have mastered these ideas in a classical context  students will be ready to focus on the challenging concepts of quantum mechanics when they encounter them  rather than struggling with techniques.  This lively textbook gives a thorough grounding in complex exponentials and the key aspects of differential equations and matrix math; no prior experience is assumed. The parallels between normal mode analysis  orthogonal function analysis (especially Fourier analysis)  and superpositions of quantum states are clearly drawn  without actually getting into the quantum mechanics. An in-depth  accessible introduction to Hilbert space and bra-ket notation begins in Chapter 5 (on symmetrical coupled oscillators)  emphasizing the analogy with conventional dot products  and continues in subsequent chapters.  Connections to current physics research (atomic force microscopy  chaos  supersolids  micro electro-mechanical systems (MEMS)  magnetic resonance imaging  carbon nanotubes  and more) are highlighted in the text and in end-of-chapter problems  and are frequently updated in the associated website.  The book actively engages readers with a refreshing writing style and a set of carefully applied learning tools  such as in-text concept tests  \"your turn\" boxes (in which the student fills in one or two steps of a derivation)  concept and skill inventories for each chapter  and \"wrong way\" problems in which the student explains the flaw in a line of reasoning. These tools promote self-awareness of the learning process.  The associated website features custom-developed applets  video and audio recordings  additional problems  and links to related current research. The instructor-only part includes difficulty ratings for problems  optional hints  full solutions  and additional support materials.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":44945745739829,"sku":"ByrdShop_019539349X","price":84.2,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780195393491.jpg?v=1769908418","url":"https:\/\/atxbooks.com\/products\/waves-and-oscillations-a-prelude-to-quantum-mechanics","provider":"ATX Books","version":"1.0","type":"link"}