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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