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Series, Infinite --- Infinite series --- Series, Infinite.

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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.

Series, Infinite --- Calculus --- Séries infinies --- Calcul infinitésimal --- Study and teaching --- Etude et enseignement --- Etude et enseignement. --- Séries infinies --- Calcul infinitésimal --- Étude et enseignement

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This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.

Series, Infinite --- Analytic functions --- Harmonic analysis --- 515.243 --- Infinite series --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's --- Mathematical Sciences --- General and Others --- Series, Infinite. --- Functions. --- Harmonic analysis. --- Differential equations --- Numbers, Complex --- Set theory --- Analytic functions. --- Functions