阿諾德偏微分方程講義 (英文) 弗拉基米爾.阿諾德 9787519296681 【台灣高等教育出版社】
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物品所在地：中國大陸
原出版社：世界圖書出版公司
物品所在地：中國大陸
原出版社：世界圖書出版公司
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| *完成訂單後正常情形下約兩周可抵台。 *本賣場提供之資訊僅供參考，以到貨標的為正確資訊。 印行年月：202403*若逾兩年請先於私訊洽詢存貨情況，謝謝。 台灣(台北市)在地出版社，每筆交易均開具統一發票，祝您中獎最高1000萬元。 書名：阿諾德偏微分方程講義 (英文) ISBN：9787519296681 出版社：世界圖書出版公司 著編譯者：弗拉基米爾.阿諾德 叢書名：俄羅斯數學經典 頁數：157 所在地：中國大陸 *此為代購商品 書號：1632709 可大量預訂，請先連絡。 內容簡介 本書是蘇聯/俄羅斯數學家阿諾德為本科生寫的講義，內容簡明扼要，讀者只需掌握線性代數、基礎分析和常微分方程知識。主要包括以下內容：單一階方程的一般理論；波傳播理論中的Huygens原理；弦振動；傅里葉方法；振蕩理論和振動原理；調和函數特性；拉普拉斯基本解及位勢；雙層位勢；球函數、麥克斯韋定理和可去奇點定理；用拉普拉斯方程解邊界值問題；線性方程和線性系統理論。目錄 Preface to the Second Russian Edition1 The General Theory for One First-Order Equation Literature 2 The General Theory for One First-Order Equation (Continued) Literature 3 Huygens' Principle in the Theory of Wave Propagation 4 1 The Vibrating String (d'Alembert's Method) 4 1 The General Solution 4 2 Boundary-Value Problems and the Cauchy Problem 4 3 The Cauchy Problem for an Infinite String d'Alembert's Formula 4 4 The Semi-Infinite String 4 5 The Finite String Resonance 4 6 The Fourier Method 5 The Fourier Method (for the Vibrating String) 5 1 Solution of the Problem in the Space of Trigonometric Polynomials 5 2 A Digression 5 3 Formulas for Solving the Problem of Section 5 1 5 4 The General Case 5 5 Fourier Series 5 6 Convergence of Fourier Series 5 7 Gibbs' Phenomenon 6 The Theory of Oscillations The Variational Principle adro 41 Literature 7 The Theory of Oscillations The Variational Principle (Continued) 8 Properties of Harmonic Functions 8 1 Consequences of the Mean-Value Theorem 8 2 The Mean-Value Theorem in the Multidimensional Case 9 The Fundamental Solution for the Laplacian Potentials 9 1 Examples and Properties 9 2 A Digression The Principle of Superposition 9 3 Appendix An Estimate of the Single-Layer Potential 10 The Double-Layer Potential 10 1 Properties of 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 12 1 Four Boundary-Value Problems for Laplace's Equation 12 2 Existence and Uniqueness of Solutions 12 3 Linear Partial Differential Equations and Their Symbols A The Topological Content of Maxwell's Theorem on the Multifeld Representation of Spherical Functions A 1 The Basic Spaces and Groups A 2 Some Theorems of Real Algebraic Geometry A 3 From Algebraic Geometry to Spherical Functions A 4 Explicit Formulasa A 5 Maxwell's Theorem and CP2/conj?S4 A 6 The History of Maxwell's Theorem Literature B Problems B 1 Material from the Seminars B 2 Written Examination Problems 詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於PChome商店街私訊告知ISBN或書號，我們即儘速上架。 |
