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Loading... ## Elementary Differential Equations and Boundary Value Problems## by William E. Boyce, Richard C. DiPrima, Douglas B. Meade
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The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, 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 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. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 10th edition includes new problems, updated figures and examples to help motivate students. The book is written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. WileyPLUS sold separately from text. No library descriptions found. |
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Google Books — Loading... ## Genres## Melvil Decimal System (DDC)515.35Natural sciences and mathematics Mathematics Analysis Differential calculus and equations Differental equations## LC Classification## RatingAverage:
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The book is divided into eleven main chapters, which are further subdivided into sections. These chapters are as follows;

Chapter 1 is merely an overview and introduction. It talks about what differential equations are, and the history that they have.

Chapter 2 is called First Order Differential Equations. Not much to say about this one. It starts with Linear Equations and goes on to Homogeneous Equations.

Chapter 3 is called Second Order Linear Equations.

Chapter 4 is called Series Solutions Of Second Order Linear Equations.

Chapter 5 follows Higher Order Linear Equations.

Chapter 6 discusses the Laplace Transform.

Chapter 7 discusses Systems of First Order Linear Equations.

Chapter 8 discusses Numerical Methods. This chapter probably needs an explanation. It starts with the Euler or Tangent Line Method, goes on to the error involved in it and improves on it. The following sections cover the Runge-Kutta Method and some other methods.

Chapter 9 is Nonlinear Differential Equations and Stability.

Chapter 10 is Partial Differential Equations and Fourier Series.

Chapter 11 is Boundary Value Theorems and Sturm-Liouville Theory.

Since this is a textbook, it contains a suggested syllabus for a classroom setting, assuming that you have a single semester of three hour classes.

All in all, this was a good book. It was written in such a way that it explained the terminology and didn’t go too far over my head. The main problem I have with advanced mathematics is that I only got up to Calculus II, and I don’t think I did too well in that case anyway. Being an autodidact is hard sometimes. Nonetheless, the book was quite good and written in a manner that I enjoyed. ( )