This revised edition includes problems and examples that incorporate computer technology. Many of the problems also call for graphing solutions or statements about their behaviour. In doing this, the text clearly demonstrates why solutions are no more important than the conclusions that can be drawn from them. The book includes features such as: a sound and accurate exposition of theory with attention to methods of solution, analysis, and approximation that can be used in many applications; problems on properties of solutions which emphasize the importance of understanding the qualitative behaviour of solutions; use of technology, illustrations, and problem sets to help students develop an understanding of the material; historic footnotes that trace development of the discipline and identify some outstanding individual contributions; and the answers to most of the problems in the book. This edition contains additional features such as: more figures within the text plus problems chosen to promote a more visual understanding of differential equations; problems that explore the effect of changing parameter values; an update of the numerical methods chapter and new figures and problems.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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 book covers all the essential topics on differential equations, including series solutions, Laplace transforms, systems of equations, numerical methods and phase plane methods. Clear explanations are detailed with many current examples.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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