Power Series Solutions to Nonlinear Ordinary Differential Equations
Language: English
Published by Society for Industrial and Applied Mathematics,U.S., US, 2026
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 75.45
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Add to basketItem description from seller
This book is the first to offer a systematic methodology for solving nonlinear ordinary differential equations (ODEs) using power series, specifically those arising in mathematical physics. It provides tools to eliminate the tedious manipulation of infinite series, enabling recursive computation of all terms. The authors also present a structured approach to overcoming convergence issues inherent to such methods, demonstrating that power series solutions can be both accessible and practical. The authors' teaching philosophy - that mathematics is best learned by doing - is reflected throughout, with the text largely composed of idea-driven examples and physically motivated problems from their own research. Proofs are included only when necessary for readers to construct custom theorems or definitions relevant to real-world applications. Ultimately, the book shows that power series methods can effectively complement numerical techniques, offering applied mathematicians a powerful and versatile toolset.…
Seller Inventory # LU-9781611978537
- Title
- Power Series Solutions to Nonlinear Ordinary Differential Equations
- Author
- Nathaniel S. Barlow, Steven J. Weinstein
- Publisher
- Society for Industrial and Applied Mathematics,U.S., US
- Publication year
- 2026
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 161197853X
- ISBN 13
- 9781611978537
"Synopsis" may belong to another edition of this title.
About the Author
Steven J. Weinstein is a professor at Rochester Institute of Technology (RIT), in the chemical engineering department, which he founded and chaired until 2023. Prior to joining RIT in 2007, he worked at Eastman Kodak Company for 18 years. At Kodak, he focused on the mathematical and experimental underpinnings of coating engineering science, including among many topical areas, thin film flows, wave stability, and die manifold design. His teaching and research span interfacial fluid mechanics, experimental and theoretical coating applications, flow instabilities, and asymptotic methods. Both authors are faculty in RIT’s mathematical modeling Ph.D. program and are affiliate members of RIT’s Center for Computational Relativity and Gravitation. They have authored numerous peer-reviewed publications that utilize power series methods to obtain analytical solutions to problems arising in diverse areas of mathematical physics.
"About the title" may belong to another edition of this title.
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