发表于2024-11-23
Geometrical Methods in the Theory of Ordinary Differential Equations 2024 pdf epub mobi 电子书
图书标签: 数学 Mathematics 马上要看1 数学-odepde 常微分方程7 分析 Math Geometry
Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.
Geometrical Methods in the Theory of Ordinary Differential Equations 2024 pdf epub mobi 电子书