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Asymptotic Analysis and Perturbation Theory.
・ISBN 978-1-4665-1511-6 2013 hard GB£ 210.00
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・ISBN 978-1-032-91876-1 2024 paper GB£ 62.99
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-429-18953-1
| 著者・編者 | Paulsen, William, |
|---|---|
| 出版社 | (CRC Press Inc, US) |
| ページ数 | 550 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-7545> |
解説
Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge of differential equations. It explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations.
With varying levels of problems in each section, this self-contained text makes the difficult subject of asymptotics easy to comprehend. Along the way, it explores the properties of some important functions in applied mathematics. Although the book emphasizes problem solving, some proofs are scattered throughout to give readers a justification for the methods used.