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This textbook is an elementary introduction to the basic principles
of partial differential equations. With many
illustrationsitintroduces 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.
This textbook presents a first introduction to 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. An elementary introduction to the basic principles of
partial differential equations. With many illustrations. The book
is addressed to students who intend to specialize in mathematics as
well as to students of physics, engineering, and economics.
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