Problems Solved and Unsolved Concerning Linear and Nonlinear Partial
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.29
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book is a thorough and accessible guide to linear and nonlinear partial differential equations for advanced readers. It offers a comprehensive overview of the latest achievements in the field, including advanced techniques such as the use of trace formulas to link spectral and geometric information. Along with this theoretical foundation, the book also provides a broad discussion of the applications of these equations to other fields such as complex variables and quasiconformal mappings. The depth and rigor of this book make it an indispensable resource for anyone seeking to understand the latest developments in this field and its applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.
Seller Inventory # 9781334018015_0
- Title
- Problems Solved and Unsolved Concerning Linear and Nonlinear Partial
- Author
- Peter D. Lax
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334018014
- ISBN 13
- 9781334018015
- Seller catalogs
- Calculus
A concise survey of major advances in linear and nonlinear partial differential equations, with practical hints for future work and applications.
This edition introduces broad topics in PDE theory, then surveys two focused areas: linear problems and nonlinear problems. It highlights how modern tools—such as microlocal analysis, trace formulas, and spectral theory—have reshaped our understanding of wave propagation, diffraction, and the behavior of complex systems. The discussion ranges from geometric settings on manifolds to concrete problems in fluid dynamics and conservation laws, offering a snapshot of how ideas from analysis, geometry, and computation come together in PDE research.
- Learn how linear PDEs on manifolds with boundaries have seen significant progress, including wave propagation, diffractive phenomena, and spectral questions.
- See how nonlinear PDEs are approached, from viscous incompressible flows to hyperbolic conservation laws and completely integrable systems.
- Discover the interplay between energy methods, weak solutions, and modern techniques like numerical experimentation and translation representations.
- Get a sense of how non-Euclidean geometry and spectral theory influence PDE behavior, including the Laplace-Beltrami operator on negatively curved spaces.
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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