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Mathematical analysis --- 517.1 --- Introduction to analysis --- Mathematical analysis. --- Mathematical models. --- 517.1 Introduction to analysis --- Mathematical models --- Models, Mathematical --- Simulation methods --- 517.1 Mathematical analysis --- 517.1.

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#WWIS:AGGR --- 517.1 --- Kansrekening --- Wiskunde --- Kansrekening - Waarschijnlijkheidsrekening --- Probability theory

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This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations. Reviews of the first edition: ``As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.'' -- F. Verhulst, SIAM Review ``The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.'' -- D. S. Shafer, Mathematical Reviews.

Differential equations. --- Ordinary differential equations --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Analysis. --- Global analysis (Mathematics). --- 517.1 Mathematical analysis --- Mathematical analysis --- 517.91 Differential equations --- Differential equations

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Differential equations --- Functions of complex variables --- Mathematical analysis --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Complex variables --- Elliptic functions --- Functions of real variables --- Equations, Differential --- Bessel functions --- Calculus --- 517.1 Mathematical analysis --- 517.91 Differential equations --- 517.91 --- 517.1 --- Numerical solutions --- Congresses --- Differential equations [Partial ] --- Equations differentielles

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517.91 --- Inverse problems (Differential equations) --- Differential equations --- Ordinary differential equations: general theory --- 517.91 Ordinary differential equations: general theory --- Équations différentielles. --- Problèmes inverses. --- Differential equations. --- Problèmes inverses (équations différentielles) --- Algèbre linéaire --- Algebras, Linear --- Analyse mathématique --- Mathematical analysis