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Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
Page : 664 pages
File Size : 20,63 MB
Release : 2004-06-24
Category : Mathematics
ISBN : 9783540206149
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Author : Vladimir I. Arnold
Publisher : Springer
Page : 660 pages
File Size : 44,12 MB
Release : 2004-11-15
Category : Mathematics
ISBN : 9783540207481
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Author : V. I. Arnold
Publisher : American Mathematical Soc.
Page : 176 pages
File Size : 22,39 MB
Release : 2015-11-30
Category : Education
ISBN : 147042259X
Vladimir Arnold (1937-2010) was one of the great mathematical minds of the late 20th century. He did significant work in many areas of the field. On another level, he was keeping with a strong tradition in Russian mathematics to write for and to directly teach younger students interested in mathematics. This book contains some examples of Arnold's contributions to the genre. "Continued Fractions" takes a common enrichment topic in high school math and pulls it in directions that only a master of mathematics could envision. "Euler Groups" treats a similar enrichment topic, but it is rarely treated with the depth and imagination lavished on it in Arnold's text. He sets it in a mathematical context, bringing to bear numerous tools of the trade and expanding the topic way beyond its usual treatment. In "Complex Numbers" the context is physics, yet Arnold artfully extracts the mathematical aspects of the discussion in a way that students can understand long before they master the field of quantum mechanics. "Problems for Children 5 to 15 Years Old" must be read as a collection of the author's favorite intellectual morsels. Many are not original, but all are worth thinking about, and each requires the solver to think out of his or her box. Dmitry Fuchs, a long-term friend and collaborator of Arnold, provided solutions to some of the problems. Readers are of course invited to select their own favorites and construct their own favorite solutions. In reading these essays, one has the sensation of walking along a path that is found to ascend a mountain peak and then being shown a vista whose existence one could never suspect from the ground. Arnold's style of exposition is unforgiving. The reader--even a professional mathematician--will find paragraphs that require hours of thought to unscramble, and he or she must have patience with the ellipses of thought and the leaps of reason. These are all part of Arnold's intent. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 34,1 MB
Release : 2013-04-09
Category : Mathematics
ISBN : 1475720637
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Author : V.B. Alekseev
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 11,83 MB
Release : 2007-05-08
Category : Mathematics
ISBN : 1402021879
Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? The main aim of this book is to give new geometrical proof of Abel's theorem, as proposed by Professor V.I. Arnold. The theorem states that for general algebraical equations of a degree higher than 4, there are no formulas representing roots of these equations in terms of coefficients with only arithmetic operations and radicals. A secondary, and more important aim of this book, is to acquaint the reader with two very important branches of modern mathematics: group theory and theory of functions of a complex variable. This book also has the added bonus of an extensive appendix devoted to the differential Galois theory, written by Professor A.G. Khovanskii. As this text has been written assuming no specialist prior knowledge and is composed of definitions, examples, problems and solutions, it is suitable for self-study or teaching students of mathematics, from high school to graduate.
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 49,94 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662054418
Choice Outstanding Title! (January 2006) This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
Author : I. G. Petrovsky
Publisher : Courier Corporation
Page : 261 pages
File Size : 23,65 MB
Release : 2012-12-13
Category : Mathematics
ISBN : 0486155080
Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
Author : Vladimir Igorevich Arnolʹd
Publisher :
Page : 312 pages
File Size : 13,6 MB
Release : 1968
Category : Dynamics
ISBN :
Author : John Arnold
Publisher : Oxford Paperbacks
Page : 152 pages
File Size : 47,93 MB
Release : 2000-02-24
Category : History
ISBN : 019285352X
Starting with an examination of how historians work, this "Very Short Introduction" aims to explore history in a general, pithy, and accessible manner, rather than to delve into specific periods.
Author : Arnold M. Washton
Publisher : Guilford Press
Page : 337 pages
File Size : 38,56 MB
Release : 2011-11-14
Category : Psychology
ISBN : 1462504388
This book has been replaced by Treating Alcohol and Drug Problems in Psychotherapy Practice, Second Edition, ISBN 978-1-4625-5086-9.