A Short Course in Ordinary Differential Equations by Qingkai Kong

By Qingkai Kong

this article is a rigorous remedy of the elemental qualitative concept of standard differential equations, at the start graduate point. Designed as a versatile one-semester path yet providing adequate fabric for 2 semesters, a brief direction covers middle themes comparable to preliminary price difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation concept, 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 that means of and motivation in the back of definitions, hypotheses, and normal theorems. A thoughtfully conceived collection of workouts including solutions and tricks toughen the reader's figuring out of the fabric. must haves are constrained to complex calculus and the trouble-free thought of differential equations and linear algebra, making the textual content compatible for senior undergraduates as well.

Show description

Read or Download A Short Course in Ordinary Differential Equations (Universitext) PDF

Best differential equations books

Stochastic Modelling in Process Technology: 211 (Mathematics in Science and Engineering)

There's an ever expanding want for modelling complicated procedures reliably. Computational modelling options, reminiscent of CFD and MD can be utilized as instruments to review particular structures, yet their emergence has now not lowered the necessity for standard, analytical method types. Multiphase and multicomponent platforms, and high-intensity techniques exhibiting a hugely advanced behaviour have gotten omnipresent within the processing undefined.

Handbook of Nonlinear Partial Differential Equations, Second Edition (Handbooks of Mathematical Equations)

New to the second one EditionMore than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutionsParabolic, hyperbolic, elliptic, and different platforms of equations with solutionsSome targeted tools and transformationsSymbolic and numerical equipment for fixing nonlinear PDEs with Maple™, Mathematica®, and MATLAB®Many new illustrative examples and tables a wide record of references which include over 1,300 sourcesTo accommodate varied mathematical backgrounds, the authors stay away from anywhere attainable using specified terminology.

Special Functions of Mathematical (Geo-)Physics (Applied and Numerical Harmonic Analysis)

Designated services let us to formulate a systematic challenge via relief such new, extra concrete challenge might be attacked inside of a well-structured framework, frequently within the context of differential equations. an excellent figuring out of particular services offers the capability to acknowledge the causality among the abstractness of the mathematical notion and either the influence on and cross-sectional significance to the clinical fact.

Solving ODEs with MATLAB

This concise textual content, first released in 2003, is for a one-semester path for upper-level undergraduates and starting graduate scholars in engineering, technological know-how, and arithmetic, and will additionally function a brief reference for execs. the key themes in usual differential equations, preliminary price difficulties, boundary price difficulties, and hold up differential equations, tend to be taught in 3 separate semester-long classes.

Additional resources for A Short Course in Ordinary Differential Equations (Universitext)

Example text

Download PDF sample

Rated 4.57 of 5 – based on 13 votes