《高等數(shù)學(下)(英文版)/高等院校雙語教學規(guī)劃教材》是為響應東南大學國際化需要,根據(jù)國家教育部非數(shù)學專業(yè)數(shù)學基礎課教學指導分委員會制定的工科類本科數(shù)學基礎課程教學基本要求,并結合東南大學數(shù)學系多年教學改革實踐經驗編寫的全英文教材。
《高等數(shù)學(下)(英文版)/高等院校雙語教學規(guī)劃教材》分為上、下兩冊,內容包括極限、一元函數(shù)微分學、一元函數(shù)積分學、常微分方程、級數(shù)、向量代數(shù)與空間解析幾何、多元函數(shù)微分學、多元函數(shù)積分學、向量場的積分、復變函數(shù)等十個章節(jié)。
《高等數(shù)學(下)(英文版)/高等院校雙語教學規(guī)劃教材》可作為高等理工科院校非數(shù)學類專業(yè)本科生學習高等數(shù)學課程的英文教材,也可供其他專業(yè)選用和社會讀者閱讀。
Chapter 5 Infinite Series
§5.1.1 The Concept of Infinite Series
§5.2 Tests for Convergence of Positive Series
§5.3 Alternating Series, Absolute Convergence, and Conditional
§5.3.2 Absolute Convergence and Conditional Convergence
§5.4.1 Tests for the Improper Integrals: Infinite Limits of
§5.4.2 Tests for the Improper Integrals: Infinite Integrands
§5.5.2 Uniform Convergence of Series
§5.5.3 Properties of Uniformly Convergent Functional Series
§5.6.1 The Radius and Interval of Convergence
§5.6.3 Expanding Functions into Power Series
§5.7.1 The Concept of Fourier Series
§5.7.2 Fourier Sine and Cosine Series
§5.7.3 Expariding Functions with Arbitrary Period
Chapter 6 Vectors and Analytic Geometry in Space
§6.1.2 Linear Operations on Vectors
§6.1.3 Dot Products and Cross Product
§6.2 0perations on Vectors in Cartesian Coordinates in Three Space
§6.2.1 Cartesian Coordinates in Three Space
§6.2.2 0perations on Vectors in Cartesian Coordinates
§6.3.1 Equations for Plane
§6.3.3 Some Problems Related to Lines and Planes
§6.4.2 Curvesin Space
§6.4.4 QuadricSurfaces
……
Chapter 7 Multivariable Functions and Partial Derivatives
Chapter 8 Multiple Integrals
Chapter 9 Integration in Vectors Field
Chapter 10 Complex Analysis