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.
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)