Differential Equations

Download e-book for iPad: A Short Course in Ordinary Differential Equations by Qingkai Kong

By Qingkai Kong

ISBN-10: 3319112384

ISBN-13: 9783319112381

ISBN-10: 3319354264

ISBN-13: 9783319354262

this article is a rigorous remedy of the fundamental qualitative thought of standard differential equations, at first graduate point. Designed as a versatile one-semester direction yet delivering adequate fabric for 2 semesters, a brief path covers middle themes akin to preliminary price difficulties, linear differential equations, Lyapunov balance, dynamical structures and the Poincaré—Bendixson theorem, and bifurcation conception, and second-order themes together with oscillation concept, boundary worth difficulties, and Sturm—Liouville difficulties. The presentation is obvious and easy-to-understand, with figures and copious examples illustrating the that means of and motivation at the back of definitions, hypotheses, and common theorems. A thoughtfully conceived collection of workouts including solutions and tricks strengthen the reader's knowing of the cloth. must haves are restricted to complex calculus and the trouble-free conception of differential equations and linear algebra, making the textual content appropriate for senior undergraduates as well.

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A Short Course in Ordinary Differential Equations (Universitext) by Qingkai Kong

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