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Elements of Partial Differential Equations 2nd Edition by Pavel Drábek, Gabriela Holubová 9783110316650 311031665X

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Elements of Partial Differential Equations 2 Exp Rev Edition Pavel Drábek Digital Instant Download

Author(s): Pavel Drábek, Gabriela Holubová
ISBN(s): 9783110316650, 311031665X
Edition: 2 Exp Rev
File Details: PDF, 3.49 MB
Year: 2014
Language: english
SKU: EB-5232456 Category: Tags: ,

Elements of Partial Differential Equations 2nd Edition by Pavel Drábek, Gabriela Holubová – Ebook PDF Instant Download/Delivery: 9783110316650, 311031665X

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Product details:

ISBN 10: 311031665X

ISBN 13: 9783110316650

Author: Pavel Drábek, Gabriela Holubová

This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

Table of contents:

  1. Motivation, Derivation of Basic Mathematical Models

  2. Classification, Types of Equations, Boundary and Initial Conditions

  3. Linear Partial Differential Equations of the First Order

  4. Wave Equation in One Spatial Variable – Cauchy Problem in ℝ

  5. Diffusion Equation in One Spatial Variable – Cauchy Problem in ℝ

  6. Laplace and Poisson Equations in Two Dimensions

  7. Solutions of Initial Boundary Value Problems for Evolution Equations

  8. Solutions of Boundary Value Problems for Stationary Equations

  9. Methods of Integral Transforms

  10. General Principles

  11. Laplace and Poisson Equations in Higher Dimensions

  12. Diffusion Equation in Higher Dimensions

  13. Wave Equation in Higher Dimensions

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Tags: Pavel Drábek, Gabriela Holubová, Elements, Partial