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1. Vladimir Arnold Ordinary Differential Equations Download

As for me, Vladimir Arnold's writing style is sometimes similar to Feynman's style. For instance, Arnold's Ordinary Differential Equations may be appealing to those, who appreciate Feynman's lectures. I can also recommend the following books: V. Arnold, Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics).

From the reviews: 'Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation. The new edition is highly recommended as a general reference for the essential theory of ordinary differential equations and as a textbook for an introductory course for serious undergraduate or graduate students. In the US system, it is an excellent text for an introductory graduate course.' (Carmen Chicone, SIAM Review, Vol.

Vladimir Arnold Ordinary Differential Equations Download

49 (2), 2007) 'Vladimir Arnold’s is a master, not just of the technical realm of differential equations but of pedagogy and exposition as well. The writing throughout is crisp and clear. Arnold’s says that the book is based on a year-long sequence of lectures for second-year mathematics majors in Moscow. In the U.S., this material is probably most appropriate for advanced undergraduates or first-year graduate students.' Satzer, MathDL, August, 2007).

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.