{"product_id":"differential-equations-9781498735018","title":"Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003eDifferential Equations: Theory, Technique, and Practice with Boundary Value Problems\u003c\/strong\u003e presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. Anatomy of an Application sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning. \u003c\/p\u003e\u003cp\u003eStreamlined for the interests of engineers, this version:\u003c\/p\u003e\u003cul\u003e\u003cli\u003eIncludes new coverage of Sturm-Liouville theory and problems\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003ePraise for \u003ci\u003eDifferential Equations: Theory, Technique, and Practice, Second Edition\u003c\/i\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\"Krantz is a very prolific writer. He … creates excellent examples and problem sets.\"\u003cbr\u003e—Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA\u003c\/p\u003e\n\u003cp\u003eA first course in differential equations lends itself to the introduction of many interesting applications of mathematics. In this well-written text, Krantz (mathematics, Washington Univ. in St. Louis) emphasizes the differential equations needed to succeed as an engineer. This work is similar to Krantz and Simmons’s Differential Equations: Theory, Technique, and Practice (2007), yet the current work adds the necessary exposure to Sturm-Liouville problems and boundary value problems for the intended engineering audience. This enables the reader access to the all-important introduction to the partial differential equations; namely, the heat and wave equations, as well as the Dirichlet problem. This text has two features that differentiate it from all others on the market at this level: the sections entitled, “Anatomy of an Application” and “Problems for Review and Discovery.” The former analyzes a particular application, while the latter introduces open-ended material for further student exploration. These features will serve students well in their pursuit of garnishing the applied fruits of the subject. This text sets a new standard for the modern undergraduate course in differential equations.\u003cbr\u003e--\u003cem\u003eJ. T. Zerger, Catawba College\u003c\/em\u003e \u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eWhat Is a Differential Equation? Second-Order Linear Equations. Power Series Solutions and Special Functions. Numerical Methods. Fourier Series: Basic Concepts. Sturm–Liouville Problems and Boundary Value Problems. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. Systems of First-Order Equations. The Nonlinear Theory. Appendix: Review of Linear Algebra.\u003c\/p\u003e\n\u003c\/li\u003e\u003c\/ul\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49409285783895,"sku":"9781498735018","price":104.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781498735018.jpg?v=1730506289","url":"https:\/\/bookcurl.com\/products\/differential-equations-9781498735018","provider":"Book Curl","version":"1.0","type":"link"}