A Student's Guide to Infinite Series and Sequences

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics
Cover of the book A Student's Guide to Infinite Series and Sequences by Bernhard W. Bach, Jr., Cambridge University Press
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Author: Bernhard W. Bach, Jr. ISBN: 9781108645737
Publisher: Cambridge University Press Publication: May 17, 2018
Imprint: Cambridge University Press Language: English
Author: Bernhard W. Bach, Jr.
ISBN: 9781108645737
Publisher: Cambridge University Press
Publication: May 17, 2018
Imprint: Cambridge University Press
Language: English

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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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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