A Student's Guide to Infinite Series and Sequences

Bernhard W. Bach, Jr. (University of Nevada, Reno)

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English

Cambridge University Press
17 May 2018

Mathematics & Sciences; Mathematics; Maths for scientists; Physics

Series: Student's Guides

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.

By: Bernhard W. Bach Jr. (University of Nevada Reno)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 227mm, Width: 150mm, Spine: 11mm
Weight: 340g
ISBN: 9781107640481
ISBN 10: 1107640482
Series: Student's Guides
Pages: 160
Publication Date: 17 May 2018
Audience: College/higher education , Professional and scholarly , A / AS level , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; 1. Infinite sequences; 2. Infinite series; 3. Power series; 4. Complex infinite series; 5. Series solutions for differential equations; 6. Fourier, Legendre, and Fourier-Bessel series; References; Index.

Reviews for A Student's Guide to Infinite Series and Sequences

'Ideal for students at an early stage in their physical sciences or engineering courses. ... [Bernhard W. Bach, Jr's] writing style is relaxed and easy-going, and he is at pains to not overwhelm the reader with any unnecessary background detail. A broad range of material is covered and at a level deliberately accessible for those who have not yet studied more advanced mathematical methods.' J. M. Christian, Institute of Mathematics and its Applications (ima.org.uk)