Description
Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.
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This textbook introduces undergraduate students to the fundamentals of the theory of differential equations. The standard material is covered, with sections on linear and nonlinear differential equations (both first- and higher-order), Laplace transforms, and nonlinear systems, numerical and series methods of solutions, and an introduction to partial differential equations. Applications and intuitional understanding of differential equations are emphasized; accordingly, theorems, especially existence and uniqueness theorems, are often stated but not proven, and what proofs and derivations there are tend to be informal. Undergraduates with a thorough grasp of elementary calculus will find this material approachable, and a helpful appendix on matrix theory provides basic results for anyone encountering concepts such as eigenvectors for the first time. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
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