Get A Short Course in Ordinary Differential Equations PDF

By Qingkai Kong

this article is a rigorous therapy of the fundamental qualitative concept of standard differential equations, initially graduate point. Designed as a versatile one-semester path yet supplying sufficient fabric for 2 semesters, a brief path covers center themes equivalent to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical structures and the Poincaré—Bendixson theorem, and bifurcation thought, and second-order issues together with oscillation idea, boundary worth 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 choice of workouts including solutions and tricks strengthen the reader's realizing of the fabric. necessities are constrained to complex calculus and the hassle-free concept 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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