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Solution of Ordinary Differential Equations by Continuous Groups (Paperback)
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Solution of Ordinary Differential Equations by Continuous Groups (Paperback)
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Written by an engineer and sharply focused on practical matters,
this text explores the application of Lie groups to solving
ordinary differential equations (ODEs). Although the mathematical
proofs and derivations in are de-emphasized in favor of problem
solving, the author retains the conceptual basis of continuous
groups and relates the theory to problems in engineering and the
sciences. The author has developed a number of new techniques that
are published here for the first time, including the important and
useful enlargement procedure. The author also introduces a new way
of organizing tables reminiscent of that used for integral tables.
These new methods and the unique organizational scheme allow a
significant increase in the number of ODEs amenable to group-theory
solution. Solution of Ordinary Differential Equations by Continuous
Groups offers a self-contained treatment that presumes only a
rudimentary exposure to ordinary differential equations. Replete
with fully worked examples, it is the ideal self-study vehicle for
upper division and graduate students and professionals in applied
mathematics, engineering, and the sciences.
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