Vladimir I Arnold

Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3642017428
Total Pages : 500 pages
Book Rating : 4.21/5 ( download)

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Download or read book Vladimir I. Arnold - Collected Works written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2009-10-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Arnold is one of the greatest mathematical scientists of our time, as well as one of the finest, most prolific mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics and KAM theory.

Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9783540206149
Total Pages : 664 pages
Book Rating : 4.40/5 ( download)

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Download or read book Arnold's Problems written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2004-06-24 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Science & Business Media
ISBN 13 : 3662054418
Total Pages : 168 pages
Book Rating : 4.13/5 ( download)

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Download or read book Lectures on Partial Differential Equations written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 1475720637
Total Pages : 530 pages
Book Rating : 4.31/5 ( download)

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Download or read book Mathematical Methods of Classical Mechanics written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Sze-Bi Hsu
Publisher : World Scientific Publishing Company
ISBN 13 : 9814452920
Total Pages : 312 pages
Book Rating : 4.22/5 ( download)

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Download or read book Ordinary Differential Equations with Applications written by Sze-Bi Hsu and published by World Scientific Publishing Company. This book was released on 2013-06-07 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE). This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques. Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers. This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

Author : V. I. Arnold
Publisher : American Mathematical Soc.
ISBN 13 : 0821894161
Total Pages : 170 pages
Book Rating : 4.63/5 ( download)

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Download or read book Experimental Mathematics written by V. I. Arnold and published by American Mathematical Soc.. This book was released on 2015-07-14 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments. One of the best-known examples is that of the Fermat hypothesis, which was conjectured by Fermat in his attempts to find integer solutions for the famous Fermat equation. This hypothesis led to the creation of a whole field of knowledge, but it was proved only after several hundred years. This book, based on the author's lectures, presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open, i.e., are neither proved nor disproved. The hypotheses range from geometry and topology (statistics of plane curves and smooth functions) to combinatorics (combinatorial complexity and random permutations) to algebra and number theory (continuous fractions and Galois groups). For each subject, the author describes the problem and presents numerical results that led him to a particular conjecture. In the majority of cases there is an indication of how the readers can approach the formulated conjectures (at least by conducting more numerical experiments). Written in Arnold's unique style, the book is intended for a wide range of mathematicians, from high school students interested in exploring unusual areas of mathematics on their own, to college and graduate students, to researchers interested in gaining a new, somewhat nontraditional perspective on doing mathematics. 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. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Author : Vladimir Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9401133301
Total Pages : 271 pages
Book Rating : 4.02/5 ( download)

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Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Arnold and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ...) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author : V. I. Arnold
Publisher : American Mathematical Soc.
ISBN 13 : 147042259X
Total Pages : 176 pages
Book Rating : 4.92/5 ( download)

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Download or read book Lectures and Problems: A Gift to Young Mathematicians written by V. I. Arnold and published by American Mathematical Soc.. This book was released on 2015-11-30 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Vladimir I. Arnold
Publisher : Springer
ISBN 13 : 9783642066863
Total Pages : 0 pages
Book Rating : 4.60/5 ( download)

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Download or read book Yesterday and Long Ago written by Vladimir I. Arnold and published by Springer. This book was released on 2010-02-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a charming collection of essays on life and science, by one of the leading mathematicians of our day. Vladimir Igorevich Arnold is renowned for his achievements in mathematics, and nearly as famous for his informal teaching style, and for the clarity and accessibility of his writing. The chapter headings convey Arnold’s humor and restless imagination. A few examples: My first recollections; The combinatorics of Plutarch; The topology of surfaces according to Alexander of Macedon; Catching a pike in Cambridge. Yesterday and Long Ago offers a rare opportunity to appreciate the life and work of one of the world’s outstanding living mathematicians.

Author : Vladimir I. Arnold
Publisher : Birkhäuser
ISBN 13 : 3034891296
Total Pages : 120 pages
Book Rating : 4.95/5 ( download)

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Download or read book Huygens and Barrow, Newton and Hooke written by Vladimir I. Arnold and published by Birkhäuser. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.