Arnold's Problems

Arnold's Problems

Author: Vladimir I. Arnold

Publisher: Springer Science & Business Media

Published: 2004-06-24

Total Pages: 664

ISBN-13: 9783540206149

DOWNLOAD EBOOK

Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research


Arnold's Problems

Arnold's Problems

Author: Vladimir I. Arnold

Publisher: Springer

Published: 2004-11-15

Total Pages: 660

ISBN-13: 9783540207481

DOWNLOAD EBOOK

Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research


Abel’s Theorem in Problems and Solutions

Abel’s Theorem in Problems and Solutions

Author: V.B. Alekseev

Publisher: Springer Science & Business Media

Published: 2007-05-08

Total Pages: 278

ISBN-13: 1402021879

DOWNLOAD EBOOK

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.


Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics

Author: V.I. Arnol'd

Publisher: Springer Science & Business Media

Published: 2013-04-09

Total Pages: 530

ISBN-13: 1475720637

DOWNLOAD EBOOK

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.


Lectures on Partial Differential Equations

Lectures on Partial Differential Equations

Author: Vladimir I. Arnold

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 168

ISBN-13: 3662054418

DOWNLOAD EBOOK

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.


Catastrophe Theory

Catastrophe Theory

Author: Vladimir I. Arnol'd

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 120

ISBN-13: 3642969372

DOWNLOAD EBOOK


History: A Very Short Introduction

History: A Very Short Introduction

Author: John Arnold

Publisher: Oxford Paperbacks

Published: 2000-02-24

Total Pages: 152

ISBN-13: 019285352X

DOWNLOAD EBOOK

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.


Lectures on Partial Differential Equations

Lectures on Partial Differential Equations

Author: I. G. Petrovsky

Publisher: Courier Corporation

Published: 2012-12-13

Total Pages: 261

ISBN-13: 0486155080

DOWNLOAD EBOOK

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.