GRADUATE TEXTS IN MATHEMATICS.: Ordinary differential equations - Couverture rigide

Walter, Wolfgang

 
9780387984599: GRADUATE TEXTS IN MATHEMATICS.: Ordinary differential equations

Synopsis

ORDINARY DIFFERENTIAL EQUATIONS develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text.

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Présentation de l'éditeur

Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.

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Autres éditions populaires du même titre

9783540941279: Ordinary Differential Equations

Edition présentée

ISBN 10 :  3540941274 ISBN 13 :  9783540941279
Editeur : Springer Verlag, 1995
Couverture rigide