Lectures On Ordinary Differential Equations is a comprehensive book written by Witold Hurewicz. The book provides a detailed introduction to the theory of ordinary differential equations. It covers a wide range of topics including first-order differential equations, linear differential equations, systems of differential equations, and numerical methods for solving differential equations. The book is designed for advanced undergraduate and graduate students in mathematics, physics, engineering, and other related fields. It is written in a clear and concise manner, with numerous examples and exercises to help students understand the concepts presented. The book is an essential resource for anyone interested in the theory and applications of ordinary differential equations.A Rigorous And Lively Introduction To The Theory Of Ordinary Differential Equations. The Approach Is Essentially Geometric And Extremely Appealing To The Intuition. The Careful And Lucid Way In Which This Book Is Written Puts It Well Within The Grasp Of The Senior Mathematics Student.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Hailed by The American Mathematical Monthly as "a rigorous and lively introduction," this text explores a topic of perennial interest in mathematics. The author, a distinguished mathematician and formulator of the Hurewicz theorem, presents a clear and lucid treatment that emphasizes geometric methods. Topics include first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. Suitable for senior mathematics students, the text begins with an examination of differential equations of the first order in one unknown function. Subsequent chapters address systems of differential equations, linear systems of differential equations, singularities of an autonomous system, and solutions of an autonomous system in the large.
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