Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms.
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From the reviews: "... This book is an excellent text for a course whose goal is a mathematical treatment of differential equations and the related physical systems." L'Enseignment Mathematique "... Arnold's book is unique as a sophisticated but accessible introduction to the modern theory, and we should be grateful that it exists in a convenient language." Mathematical Association of America Monthly
Text: English, Russian (translation)
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7th Printing. Paperbound 8vo (9 inches tall) 280 pages. Bibliography, index. Description: Figure illustrations. The author's preface explains that the book stemmed from a course of lectures to mathematics students at Moscow University from 1968 to 1970. He states, ''In selecting the subject matter of this book I have attempted to confine myself to the irreducible minimum of absolutely essential material. The course is dominated by two central ideas and their ramifications: the theorem on rectifiability of a vector field (equivalent to the usual theorems on existence, uniqueness, and differentialability of solutions) and the theory of one-parameter groups of linear transformations (i.e. the theory of linear autonomous systems).'' Originally published in 1973. BINDING/CONDITION: paperbound; a crease on the rear cover is reinforced on the inside with clear book tape; Good condition. ISBN: 0-262-51018-9. Seller Inventory # 069304
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