A Practical Course in Differential Equations and Mathematical
Modelling is a unique blend of the traditional methods of ordinary
and partial differential equations with Lie group analysis enriched
by the author's own theoretical developments. The book - which aims
to present new mathematical curricula based on symmetry and
invariance principles - is tailored to develop analytic skills and
"working knowledge" in both classical and Lie's methods for solving
linear and nonlinear equations. This approach helps to make courses
in differential equations, mathematical modelling, distributions
and fundamental solution, etc. easy to follow and interesting for
students. The book is based on the author's extensive teaching
experience at Novosibirsk and Moscow universities in Russia,
College de France, Georgia Tech and Stanford University in the
United States, universities in South Africa, Cyprus, Turkey, and
Blekinge Institute of Technology (BTH) in Sweden. The new
curriculum prepares students for solving modern nonlinear problems
and will essentially be more appealing to students compared to the
traditional way of teaching mathematics.
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