A textbook on Ordinary Differential Equations
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Beschreibung
The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems.
A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.
The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems.A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.
Application to applied sciences
Rich of exercises with a set of selected solutions
Concise, rigorous, clear in analyzing the solutions
Autor*in
Shair Ahmad
Themen in »A textbook on Ordinary Differential Equations«
applications to mechanics and electrical circuit theory mathematical analysis numerical analysis ordinary differential equations
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From the book reviews:
“The authors include the expected topics (e.g., first-order linear differential equations, first-order nonlinear differential equations, and second-order equations) for a one-semester introductory course. In addition, they present material to move beyond the typical course work, e.g., chapters on stability theory and boundary value problems. … The textbook is very readable and can be used either in a classroom setting or for independent study. … Summing Up: Highly recommended. Lower- and upper-division undergraduates and faculty.” (S. L. Sullivan, Choice, Vol. 52 (1), September, 2014)
“This book is written as a primer for the theory and applications of ordinary differential equations (ODE). It consists of 13 chapters and an appendix. … This book provides a good introduction … to ODE’s for students in various fields.” (Ken-ichi Yoshihara, zbMATH, Vol. 1288, 2014)
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