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, firstly graduate point. Designed as a versatile one-semester direction yet supplying adequate fabric for 2 semesters, a quick direction covers center issues reminiscent of preliminary price difficulties, linear differential equations, Lyapunov balance, dynamical structures and the Poincaré—Bendixson theorem, and bifurcation conception, and second-order subject matters together with oscillation idea, boundary price difficulties, and Sturm—Liouville difficulties. The presentation is apparent and easy-to-understand, with figures and copious examples illustrating the that means of and motivation in the back of definitions, hypotheses, and normal theorems. A thoughtfully conceived collection of routines including solutions and tricks toughen the reader's knowing of the fabric. must haves are constrained to complicated calculus and the straight forward 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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