經典力學的數學方法 (第2版) (英文) 弗拉基米爾.阿諾德 9787519296667 【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：經典力學的數學方法 (第2版) (英文) ISBN：9787519296667 出版社：世界圖書出版公司 著編譯者：弗拉基米爾.阿諾德 頁數：516 所在地：中國大陸 *此為代購商品 書號：1632699 可大量預訂，請先連絡。 內容簡介 這是莫斯科大學理論力學的優秀教材，論述了振動理論、剛體運動和哈密頓形式體系等動力學中的所有基本問題，特彆強調了邊分原理和分析力學及成為量子力學理論基石的哈密頓形式體系。在附錄中介紹了經典力學與數學、物理學及其它領域的聯繫。可供理論力學專業、數學力學專業的研究生及科技人員參考。目錄 PrefacePreface to the second edition Part Ⅰ NEWTONIAN MECHANICS Chapter 1 Experimental facts 1 The principles of relativity and determinacy 2 The galilean group and Newton's equations 3 Examples of mechanical systems Chapter 2 Investigation of the equations of motion 4 Systems with one degree of freedom 5 Systems with two degrees of freedom 6 Conservative force felds 7 Angular momentum 8 Investigation of motion in a central feld 9 The motion of a point in three-space 10 Motions of a system of n points 11 The method of similarity Part Ⅱ LAGRANGIAN MECHANICS Chapter 3 Variational principles 12 Calculus of variations 13 Lagrange's equations 14 Legendre transformations 15 Hamilton's equations 16 Liouville's theorem Chapter 4 Lagrangian mechanics on manifolds 17 Holonomic constraints 18 Diferentiable manifolds 19 Lagrangian dynamical systems 20 E Noether's theorem 21 D'Alembert's principle Chapter 5 Oscillations 22 Linearization 23 Small oscillations 24 Behavior of characteristic frequencies 25 Parametric resonance Chapter 6 Rigid bodies 26 Motion in a moving coordinate system 27 Inertial forces and the Coriolis force 28 Rigid bodies 29 Euler's equations Poinsot's description of the motion iteor lo eslqonn 30 Lagrange's top 31 Sleeping tops and fast tops Part Ⅲ HAMILTONIAN MECHANICS Chapter 7 Diferential forms 32 Exterior forms 33 Exterior multiplication 34 Differential forms 35 Integration of differential forms 36 Exterior differentiation Chapter 8 Symplectic manifolds 37 Symplectic structures on manifolds 38 Hamiltonian phase flows and their integral invariants 39 The Lie algebra of vector fields 40 The Lie algebra of hamiltonian functions 41 Symplectic geometry 42 Parametric resonance in systems with many degrees of freedom 43 A symplectic atlas Chapter 9 Canonical formalism 44 The integral invariant of Poincare Cartan 45 Applications of the integral invariant of Poincare-Cartan 46 Huygens' principle 47 The Hamilton-Jacobi method for integrating Hamilton's canonical equations 48 Generating functions Chapter 10 Introduction to perturbation theory 49 Integrable systems 50 Action-angle variables 51 Averaging 52 Averaging of perturbations Appendix 1 Riemannian curvature Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids Appendix 3 Symplectic structures on algebraic manifolds Appendix 4 Contact structures Appendix 5 Dynamical systems with symmetries Appendix 6 Normal forms of quadratic hamiltonians Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories Appendix 8 Theory of perturbations of conditionally periodic motion， and Kolmogorov's theorem Appendix 9 Poincare's geometric theorem， its generalizations and applications Appendix 10 Multiplicities of characteristic frequencies， and ellipsoids depending on parameters Appendix 11 Short wave asymptotics Appendix 12 Lagrangian singularities Appendix 13 The Korteweg-de Vries equation Appendix 14 Poisson structures Appendix 15 On elliptic coordinates Appendix 16 Singularities of ray systems Index 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。 |
