無限級数・無限数列ガイド（テキスト） A Student's Guide to Infinite Series and Sequences (Student's Guides)

Bach, Jr., Bernhard W.

Cambridge University Press（2018/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 198 p.
• 言語 ENG
• 商品コード 9781107059825
• DDC分類 515.243

Full Description

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.

Contents

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.