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Basic Partial Differential Equations

David. Bleecker
€483.60
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boundary value problems
Category1=Non-Fiction
Category=PBKJ
Cauchy Riemann Equations
Complex Fourier Series
COP=United Kingdom
David Bleecker
Decay Order
Delivery_Pre-order
Dirichlet Problem
Duhamel's Principle
eq_isMigrated=2
eq_nobargain
Explicit Difference Method
Finite Difference Methods
fourier
Fourier analysis
Fourier Cosine Series
Fourier Series
Fourier Sine Series
George Csordas
Harmonic Conjugate
Harmonic Function
Harmonic Polynomial
Heat Equation
Inversion Theorem
Ku Xx
Language_English
Laplace's Equation
Laplace’s Equation
Linear PDE
Local Discretization Error
manifold differential equations
mathematical modeling
numerical methods for scientists
PA=Temporarily unavailable
Parseval's Equality
Parseval’s Equality
Poisson Integral Formula
population dynamics modeling
Price_€100 and above
PS=Active
quantum mechanics applications
series
softlaunch
Spherical Harmonics
Strong Maximum Principle
Sturm Comparison Theorem
Uniform Convergence Theorem

Product details

  • ISBN 9781315890982
  • Weight: 1580g
  • Dimensions: 189 x 246mm
  • Publication Date: 29 Nov 2017
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
  • Language: English
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Description

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text:

  • the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks
  • convergence of numerical solutions of PDEs and implementation on a computer
  • convergence of Laplace series on spheres
  • quantum mechanics of the hydrogen atom
  • solving PDEs on manifolds

    The text requires some knowledge of calculus but none on differential equations or linear algebra.
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