Currently, there are few books on differential equations specifically written for engineers. Introductory courses in the subject are oriented to mathematicians or physicists, with little mathematical preparation. The main goal of this text is to provide a tool for engineers who need to know the basic concepts of differential equations and their applications, with no prior knowledge of mathematics beyond high school algebra. It covers the following topics: first-order linear equations; second-order linear equations; systems of first-order linear homogeneous and nonhomogeneous equations; solutions by approximation methods; separable differential equations. The extensive bibliography includes references on eigenvalues and eigenfunctions. "This brief but complete work covers all the basics of linear differential equations and their applications. It is unique in that the topics are introduced very simply and easily, without any presumption of background knowledge. Where proofs or details are required, they are given with clarity and completeness. Where there is mathematical notation, the explanation is brief and careful to ensure that it would be clear to engineers." (R.S. Pressner, California Polytechnic State University)."This book describes algorithms for solving first-order linear differential equations by explicit matrix solution or by approximate analysis through Fourier analysis. Reductions of ordinary and partial differential equations to systems of first-order algebraic equations, and the n-th order linear differential equation are included. This book is an excellent choice for a first course on differential equations." (P. Reynolds, University of Texas at Dallas)."The methodology is very clear and the topics are well illustrated by examples and exercises... The book is also an excellent source for more advanced students as well as engineers... It can be used as a text for undergraduate courses on differential equations at the junior or senior level in engineering departments." (Dr. A.S. Garibaldi, Catholic University of Parana, Argentina)."A brief but complete introduction to differential equations, with the purpose of explaining the basic theory with clear examples... this book successfully fulfils its purpose in an easy-to-understand fashion." (H. Renshaw, Technische Universitat Berlin). "The author is making a great contribution to the diffusion of knowledge in engineering by providing us with this important reference." (J.V. Rojas, Pontifical Catholic University of Rio de Janeiro).

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