March 21, 2018

A Short Course in Ordinary Differential Equations by Qingkai Kong PDF

By Qingkai Kong

ISBN-10: 3319112384

ISBN-13: 9783319112381

ISBN-10: 3319354264

ISBN-13: 9783319354262

this article is a rigorous therapy of the elemental qualitative idea of standard differential equations, at first graduate point. Designed as a versatile one-semester path yet supplying sufficient fabric for 2 semesters, a quick path covers middle issues resembling preliminary price difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation idea, and second-order themes together with oscillation thought, boundary price difficulties, and Sturm—Liouville difficulties. The presentation is apparent and easy-to-understand, with figures and copious examples illustrating the which means of and motivation at the back of definitions, hypotheses, and basic theorems. A thoughtfully conceived collection of workouts including solutions and tricks make stronger the reader's realizing of the fabric. necessities are restricted to complicated calculus and the ordinary conception of differential equations and linear algebra, making the textual content compatible for senior undergraduates as well.

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

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