This new approach to real analysis stresses the use of the
subject with respect to applications, i.e., how the principles and
theory of real analysis can be applied in a variety of settings in
subjects ranging from Fourier series and polynomial approximation
to discrete dynamical systems and nonlinear optimization. Users
will be prepared for more intensive work in each topic through
these applications and their accompanying exercises. This book is
appropriate for math enthusiasts with a prior knowledge of both
calculus and linear algebra.
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