Mathematical Analysis II [Second edition] 9783662569665, 3662569663

976 111 14MB

English Pages xx, 720 pages : Illustrations ; 24 cm Year 2016

Mathematical Analysis II [Second edition]
9783662569665, 3662569663

Author / Uploaded
Cooke
Roger;Paniagua
Octavio ‡e translator;Zorich
Vladimir Antonovich

Table of contents :
9 Continuous Mappings (General Theory).- 10 Differential Calculus from a GeneralViewpoint.- 11 Multiple Integrals.- 12 Surfaces and Differential Forms in Rn.- 13 Line and SurfaceIntegrals.- 14 Elements of VectorAnalysis and Field Theory.- 15 Integration of Differential Forms onManifolds.- 16 Uniform Convergence andBasic Operations of Analysis.- 17Integrals Depending on a Parameter.- 18Fourier Series and the Fourier Transform.- 19 Asymptotic Expansions.- Topics and Questions for MidtermExaminations.- Examination Topics.-Examination Problems (Series and Integrals Depending on a Parameter).- Intermediate Problems (Integral Calculus ofSeveral Variables).- Appendices: A Series as a Tool (Introductory Lecture).- BChange of Variables in Multiple Integrals.- C Multidimensional Geometry and Functions of a Very Large Number ofVariables.- D Operators of Field Theoryin Curvilinear Coordinates.- E ModernFormula of Newton-Leibniz.- References.-Index of Basic Notation.- Subject Index.- Name Index.