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Lectures on partial differential equations / Vladimir I. Arnold ; translated by Roger Cooke.

By: Material type: TextTextSeries: UniversitextPublication details: Berlin ; New York : Springer-Verlag, c2004.Description: x, 157 pages : illustrations ; 24 cmISBN:
  • 9783540404484
Subject(s): DDC classification:
  • 515.353
Online resources:
Partial contents:
The General Theory for One First-Order Equation -- The General Theory for One First-Order Equation (Continued) -- Huygens’ Principle in the Theory of Wave Propagation -- The Vibrating String (d’Alembert’s Method) -- The Fourier Method (for the Vibrating String)
Abstract: Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. 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!
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Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
Colección general Colección general Biblioteca Yachay Tech 515.353 A759l 2004 (Browse shelf(Opens below)) Ej. 1 Available 003386
Colección general Colección general Biblioteca Yachay Tech 515.353 A759l 2004 (Browse shelf(Opens below)) Ej. 2 Available 003387
Colección general Colección general Biblioteca Yachay Tech 515.353 A759l 2004 (Browse shelf(Opens below)) Ej. 3 Available 003388
Total holds: 0

Includes bibliographical references.

The General Theory for One First-Order Equation -- The General Theory for One First-Order Equation (Continued) -- Huygens’ Principle in the Theory of Wave Propagation -- The Vibrating String (d’Alembert’s Method) -- The Fourier Method (for the Vibrating String)

Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. 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!

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