Why study infinite series? Not all mathematical problems can be
solved exactly or have a solution that can be expressed in terms of
a known function. In such cases, it is common practice to use an
infinite series expansion to approximate or represent a solution.
This informal introduction for undergraduate students explores the
numerous uses of infinite series and sequences in engineering and
the physical sciences. The material has been carefully selected to
help the reader develop the techniques needed to confidently
utilize infinite series. The book begins with infinite series and
sequences before moving onto power series, complex infinite series
and finally onto Fourier, Legendre, and Fourier-Bessel series. With
a focus on practical applications, the book demonstrates that
infinite series are more than an academic exercise and helps
students to conceptualize the theory with real world examples and
to build their skill set in this area.
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