{"product_id":"9781571460363-basic-partial-differential-equation","title":"Basic Partial Differential Equations","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eThis text documents partial differential equation applications, including: heat conduction; wave propagation; vibrations; traffic flow shocks; evolution of population densities; fluid flow; electrostatics; minimal surfaces; gravitation; and quantum mechanics.\u003cbr\u003eFor students with three semesters of calculus, this book is self-contained. In particular, Section 1.1 contains a complete treatment of the relevant types of ordinary differential equations. No previous course in ordinary differential equations or linear algebra is necessary.\u003cbr\u003e\u003cbr\u003eThere are approximately 280 examples worked out in detail, and 600 exercises ranging from routine to challenging. Answers to selected problems appear in the back of the book. Rigorous proofs, of nearly all results used, are given after ample physical motivation.\u003cbr\u003e\u003cbr\u003eThe book documents extensive applications, including: heat conduction, wave propagation, vibrations of strings, square drums, round drums, spheres and manifolds, traffic flow shocks, evolution of population densities, fluid flow, electrostatics, minimal surfaces, gravitation, and quantum mechanics (including the determination of the bound states of the hydrogen atom).\u003cbr\u003e\u003cbr\u003eConvenient summaries appear at the end of each section. Theorems and definitions are clearly set off in boxes. The book contains 97 figures, illustrations and tables. (Graphs of mathematical functions of one or several variables were computer generated.)\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":55177983361398,"sku":"9781571460363","price":102.83,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_28145936.jpg?v=1737589145","url":"https:\/\/www.rarewaves.com\/products\/9781571460363-basic-partial-differential-equation","provider":"Rarewaves.com","version":"1.0","type":"link"}