Items related to Applied Partial Differential Equations
Synopsis
The emphasis in this book is placed on techniques for solving partial differential equations found in physics and engineering but discussions on existence and uniqueness of solutions are included. Several different methods of solution are presented, with the primary emphasis on the classical method of separation of variables. Secondary emphasis is placed on transform solutions, as well as on the method of Green's functions. The derivation and analysis of heat, wave and potential equations are covered in chapter one, and throughout the book the physical interpretation of mathematical results is stressed. A background of elementary calculus and differential equations is necessary.
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Synopsis
Written for a first course in applied differential equations, this applied approach emphasizes techniques for solving partial differential equations found in physics and engineering, but also includes existence and uniqueness of solutions. Applications are stressed without sacrificing the theory. Alternative solutions and the advantages of each solution relative to the others are discussed whenever possible. Well-graded exercises are found at the end of every section and contain both straightforward problems that reinforce fundamentals and more difficult problems that challenge.
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