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nexusstc/Lectures on Partial Differential Equations/720c3105c5a4c515dbc9a450a4406deb.pdf
Lectures on Partial Differential Equations (Universitext) 🔍
Vladimir I. Arnold; Roger Cooke Springer Spektrum. in Springer-Verlag GmbH, 1 edition, January 22, 2004
英语 [en] · PDF · 14.7MB · 2004 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/zlib · Save
描述
Choice Outstanding Title! (january 2006) Like All Of Vladimir Arnold's Books, This Book Is Full Of Geometric Insight. Arnold Illustrates Every Principle With A Figure. This Book Aims To Cover The Most Basic Parts Of The Subject And Confines Itself Largely To The Cauchy And Neumann Problems For The Classical Linear Equations Of Mathematical Physics, Especially Laplace's Equation And The Wave Equation, Although The Heat Equation And The Korteweg-de Vries Equation Are Also Discussed. Physical Intuition Is Emphasized. A Large Number Of Problems Are Sprinkled Throughout The Book, And A Full Set Of Problems From Examinations Given In Moscow Are Included At The End. Some Of These Problems Are Quite Challenging! What Makes The Book Unique Is Arnold's Particular Talent At Holding A Topic Up For Examination From A New And Fresh Perspective. He Likes To Blow Away The Fog Of Generality That Obscures So Much Mathematical Writing And Reveal The Essentially Simple Intuitive Ideas Underlying The Subject. No Other Mathematical Writer Does This Quite So Well As Arnold. Preface To The Second Russian Edition -- 1. The General Theory To One First-order Equation -- 2. The General Theory To One First-order Equation (continued) -- 3. Huygens‘ Principle In The Theory Of Wave Propagation -- 4. The Vibrating String (d’alembert’s Method) -- 5. The Fourier Method (for The Vibrating String) -- 6. The Theory Of Oscillations. The Variational Principle -- 7. The Theory Of Oscillations. The Variational Principle (continued) -- 8. Properties Of Harmonic Functions -- 9. The Fundamental Solution For The Laplacian. Potentials -- 10. The Double Layer Potential -- 11. Spherical Functions. Maxwell’s Theorem. The Removable Singularities Theorem -- 12. Boundary Value Problems For Laplace’s Equation. Theory Of Linear Equations And Systems -- A. The Topological Content Of Maxwell’s Theorem On The Multifield Representation Of Spherical Functions -- B. Problems. Vladimir I. Arnold ; Translated By Roger Cooke. Includes Bibliographical References.
备用文件名
lgli/Springer - Lectures on Partial Differential Equations (2004).pdf
备用文件名
lgrsnf/Springer - Lectures on Partial Differential Equations (2004).pdf
备用文件名
zlib/Mathematics/Lectures on Partial Differential Equations_639674.pdf
备选标题
Лекции об уравнениях с частными производными
备选作者
Арнольд, В. И. 1937-2010, author
备选作者
Арнольд, Владимир Игоревич
备选作者
Владимир Игоревич Арнольд
备选作者
Arnold, Vladimir I.
备选作者
VIADIMIR I.ARNOLD
备选作者
I. G Petrovskiĭ
备选作者
V. I Arnolʹd
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
Interscience Publishers
备用出版商
Springer : PHASIS
备用出版商
Springer Berlin
备用出版商
Фазис
备用出版商
Fazis
备用版本
Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2013
备用版本
БСМ : Библиотека студента-математика -- Вып. 2, М, 1997
备用版本
Biblioteka studenta-matematika, Moskva, 1997
备用版本
First English ed, New York, 1954
备用版本
Universitext, Berlin, ©2004
备用版本
Russia, Russian Federation
备用版本
Germany, Germany
备用版本
2004, US, 2003
元数据中的注释
lg211928
元数据中的注释
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元数据中的注释
РГБ
元数据中的注释
Russian State Library [rgb] MARC:
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备用描述
Choice Outstanding Title! (January 2006)
This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
备用描述
Universitext
Erscheinungsdatum: 29.10.2003
开源日期
2010-02-18
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