Elementary Differential Equations and Boundary Value Problems
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Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies. Booknews This textbook combines an exposition of the elementary theory of differential equations with methods of solution, analysis, and approximation. In the seventh edition, mathematical modeling, the ideas of stability and instability, and numerical approximations via Euler's method appear much earlier than in previous editions. Annotation c. Book News, Inc., Portland, OR (booknews.com)
PrefaceCh. 1Introduction1Ch. 2First Order Differential Equations15Ch. 3Second Order Linear Equations121Ch. 4Higher Order Linear Equations203Ch. 5Series Solutions of Second Order Linear Equations225Ch. 6The Laplace Transform289Ch. 7Systems of First Order Linear Equations335Ch. 8Numerical Methods415Ch. 9Nonlinear Differential Equations and Stability459Ch. 10Partial Differential Equations and Fourier Series543Ch. 11Boundary Value Problems and Sturm-Liouville Theory621Answers to Problems683Index743
