ISBN: Ostalo
Godina izdanja: 1964
Jezik: Engleski
Oblast: Matematika
Autor: Strani

Witold Hurewicz - Lectures on Ordinary Differential Equations
MIT Press, Cambridge, 1964
122 str.
meki povez
stanje: vrlo dobro, potpis na predlistu.

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...

Contents:
Differential equations of the first order in one unknown function
The Cauchy-Euler approximation method
Continuation of solutions. Other methods
Systems of differential equations
Linear systems of differential equations
The general linear system
Linear equations of higher order
Linear systems with constant coefficients
Singularities of an autonomous system
Introduction
Singularities of a linear system
Nonlinear systems
Solutions of an autonomous system in the large



Nonfiction, Mathematics