Read e-book online A Short Course in Ordinary Differential Equations PDF

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 idea of standard differential equations, in the beginning graduate point. Designed as a versatile one-semester direction yet supplying sufficient fabric for 2 semesters, a quick direction covers center issues comparable to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation thought, and second-order subject matters together with oscillation conception, boundary price 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 in the back of definitions, hypotheses, and common theorems. A thoughtfully conceived choice of workouts including solutions and tricks strengthen the reader's figuring out of the fabric. necessities are restricted to complicated calculus and the trouble-free thought 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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