[E._T._Whittaker,_M.A.]_A_Course_of_Modern_Analysi(Bookos.org)

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[E._T._Whittaker,_M.A.]_A_Course_of_Modern_Analysi(Bookos.org).pdf (11.06 MB, 需要: RMB 19 元)

2025-8-18 11:42:25 上传

[E._T._Whittaker,_M.A.]_A_Course_of_Modern_Analysi(Bookos.org)
需要: RMB 19 元  [购买]

Part I The Process of Analysis

• Complex Numbers
• The Theory of Convergence
• Continuous Functions and Uniform Convergence
• The Theory of Riemann Integration
• The Fundamental Properties of Analytic Functions; Taylor’s, Laurent’s, and Liouville’s Theorems
• The Theory of Residues; Application to the Evaluation of Definite Integrals
• The Expansion of Functions in Infinite Series
• Asymptotic Expansions and Summable Series
• Fourier Series and Trigonometrical Series
• Linear Differential Equations
• Integral Equations
  

Part II The Transcendental Functions

• The Gamma Function
• The Zeta Function of Riemann
• The Hypergeometric Function
• Legendre Functions
• The Confluent Hypergeometric Function
• Bessel Functions
• The Equations of Mathematical Physics
• Mathieu Functions
• Elliptic Functions: General Theorems and the Weierstrassian Functions
• The Theta Functions
• The Jacobian Elliptic Functions
• Ellipsoidal Harmonics and Lamé’s Equation
  

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关键词：Analysi Analys Course Modern Analy