Boyce's Elementary Differential Equations and Boundary Value Problems is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety ...
Boyce's Elementary Differential Equations and Boundary Value Problems is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. This textbook is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations. Table of Contents * Introduction * First-Order Differential Equations * Second-Order Linear Differential Equations * Higher-Order Linear Differential Equations * Series Solutions of Second-Order Linear Equations * The Laplace Transform * Systems of First-Order Linear Equations * Numerical Methods * Nonlinear Differential Equations and Stability * Partial Differential Equations and Fourier Series * Boundary Value Problems and Sturm-Liouville Theory The Wiley Advantage * A flexible approach to content. Self contained chapters allow instructors to customize the selection, order, and depth of chapters. * A flexible approach to technology. Boyce/Di Prima is adaptable to courses having various levels of computer involvement, ranging from little or none to intensive. More than 450 problems are marked with a technology icon to indicate those that are considered to be technology intensive * Sound and accurate exposition of theory. Special attention is made to methods of solution, analysis, and approximation * Outstanding exercise sets. Boyce/Di Prima remains unrivaled in quantity, variety, and range providing great flexibility in homework assignments
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It's a text book. It meets the requirements of the course.
Apr 28, 2007
First/Second Year Differential Equations
I bought this book because I found I was hogging a copy from the university library. If you are doing differential equations courses in either a mathematics or possibly a physics degree, then I would recommend this as it has in pretty much of anything I would imagine you would need, at least at first and second year level (I'm second year, so cannot give an opinion about use for third/fourth years) There are sections covering both numerical and analytical solutions. Yes, the text can be a bit dry in places, but it never treats you like an idiot, and I don't think many people read books like this for fun.
Looking for extra problems to work through? Buy this book. Lecturer is an idiot and/or lecture notes are poor? Buy this book.
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