Basic Partial Differential Equations
Auteur : Bleecker David.
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 text requires some knowledge of calculus but none on differential equations or linear algebra.
Date de parution : 11-2017
18.9x24.6 cm
Thème de Basic Partial Differential Equations :
Mots-clés :
Duhamel's Principle; fourier; Fourier Series; series; Heat Equation; David Bleecker; Dirichlet Problem; George Csordas; Fourier Sine Series; Complex Fourier Series; Parseval’s Equality; Explicit Difference Method; Fourier Cosine Series; Laplace’s Equation; Strong Maximum Principle; Local Discretization Error; Poisson Integral Formula; Ku Xx; Linear PDE; Finite Difference Methods; Cauchy Riemann Equations; Sturm Comparison Theorem; Spherical Harmonics; Uniform Convergence Theorem; Harmonic Conjugate; Inversion Theorem; Harmonic Polynomial; Decay Order; Harmonic Function