Mathematical analysis II

• 作者： Zorich, Vladimir A., author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Matematicheskij analiz.
  • Universitext.
• 出版： Berlin, Heidelberg : Springer Berlin Heidelberg :Imprint: Springer
• 版本：Second edition.
• 叢書名： Universitext,
• 主題： Mathematical analysis. , Mathematics. , Analysis. , Theoretical, Mathematical and Computational Physics.
• ISBN： 9783662489932 (electronic bk.) 、 9783662489918 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 9 Continuous Mappings (General Theory) -- 10 Differential Calculus from a General Viewpoint -- 11 Multiple Integrals -- 12 Surfaces and Differential Forms in Rn -- 13 Line and Surface Integrals -- 14 Elements of Vector Analysis and Field Theory -- 15 Integration of Differential Forms on Manifolds -- 16 Uniform Convergence and Basic Operations of Analysis -- 17 Integrals Depending on a Parameter -- 18 Fourier Series and the Fourier Transform -- 19 Asymptotic Expansions -- Topics and Questions for Midterm Examinations -- Examination Topics -- Examination Problems (Series and Integrals Depending on a Parameter) -- Intermediate Problems (Integral Calculus of Several Variables) -- Appendices: A Series as a Tool (Introductory Lecture) -- B Change of Variables in Multiple Integrals -- C Multidimensional Geometry and Functions of a Very Large Number of Variables -- D Operators of Field Theory in Curvilinear Coordinates -- E Modern Formula of Newton-Leibniz -- References -- Index of Basic Notation -- Subject Index -- Name Index.
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