Partial differential equations through examples and exercises

Partial differential equations through examples and exercises

by Pap, Endre

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Title Statements

  • Full title :Partial differential equations through examples and exercises / by Endre Pap, Arpad Takači, Djurdjica Takači.

Edition Statements

  • Publication Date:1997

Publication Statements

  • Publisher(s):Springer Netherlands
  • Place of Publication:Dordrecht
  • Language:eng
  • Publication Date:1997

The Physical Object

  • Description:xii, 404 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9789401063494, 9401063494
  • oclc:on1048817670
  • LC Classification:QA377
  • Dewey Decimal:515.353

Table of Contents

1 Introduction -- 1.1 Basic Notions -- 1.2 The Cauchy-Kowalevskaya Theorem -- 1.3 Equations of Mathematical Physics -- 2 First Order PDEs -- 2.1 Quasi-linear PDEs -- 2.2 Pfaff's Equations -- 2.3 Nonlinear First Order PDEs -- 3 Classification of the Second Order PDEs -- 3.1 Two Independent Variables -- 3.2 n Independent Variables -- 3.3 Wave, Potential and Heat Equation -- 4 Hyperbolic Equations -- 4.1 Cauchy Problem for the One-dimensional Wave Equation -- 4.2 Cauchy Problem for the n-dimensional Wave Equation -- 4.3 The Fourier Method of Separation Variables -- 4.4 The Sturm -- Liouville Problem -- 4.5 Miscellaneous Problems -- 4.6 The Vibrating String -- 5 Elliptic Equations -- 5.1 Dirichlet Problem -- 5.2 The Maximum Principle -- 5.3 The Green Function -- 5.4 The Harmonic Functions -- 5.5 Gravitational Potential -- 6 Parabolic Equations -- 6.1 Cauchy Problem -- 6.2 Mixed Type Problem -- 6.3 Heat conduction -- 7 Numerical Methods -- 7.0.1 Preliminaries -- 7.0.2 Examples and Exercises -- 8 Lebesgue's Integral, Fourier Transform -- 8.1 Lebesgue's Integral and the L2(Q) Space -- 8.2 Delta Nets -- 8.3 The Surface Integrals -- 8.4 The Fourier Transform -- 9 Generalized Derivative and…

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Subjects

Analyse fonctionnelle applied mathematics Computer science -- Mathematics Differential Equations, Partial Équations aux dérivées partielles Functional analysis Informatique -- Mathématiques mathematics Mathématiques Operator theory Théorie des opérateurs

Writers

Pap, Endre Takači, Arpad Takači, Djurdjica

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