Differential Equations
Book information
Description
Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.
Similar books
Групповой и бифуркационный анализ нелинейных дифференциальных и интегро-дифференциальных уравнений в задачах переноса, возникающих в биофизике
Дифференциальные и интегральные уравнения. В 3-х частях. Часть 2
Дифференциальные и интегральные уравнения. В 3-х частях. Часть 1
Гиперболические периодические решения нелинейных дифференциально-разностных уравнений
О спектральных свойствах корректных сужений и расширений оператора Штурма - Лиувилля
Системы линейных дифференциальных уравнений: немного теории и решения задач
Дифференциальные уравнения
