Lectures on Analytic Differential Equations
by Yulij Ilyashenko, Sergei Yakovenko
Publisher: American Mathematical Society 2007
ISBN/ASIN: 0821836676
ISBN-13: 9780821836675
Number of pages: 599
Description:
A graduate-level textbook and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. The book includes self-contained, sometimes simplified demonstrations of several fundamental results. It explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc.
Download or read it online for free here:
Download link
(5.6MB, PDF)
Similar books
Differential Equations with YouTube Examplesby Jeffrey R. Chasnov - BookBoon
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
(7081 views)
A First Course in Elementary Differential Equationsby Marcel B. Finan - Arkansas Tech University
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
(11951 views)
Ordinary Differential Equationsby Stephen Wiggins - University of Bristol
This book consists of ten weeks of material given as a course on ordinary differential equations for second year mathematics majors. Rather than seeking to find specific solutions, we seek to understand how all solutions are related in phase space.
(7727 views)
Nonlinear Analysis and Differential Equationsby Klaus Schmitt, Russell C. Thompson - University of Utah
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions.
(13515 views)