Mathematical Analysis II
Springer Berlin (Verlag)
978-3-662-56966-5 (ISBN)
This second volumepresents classical analysis in its current form as part of a unifiedmathematics. It shows how analysis interacts with other modern fields ofmathematics such as algebra, differential geometry, differential equations,complex analysis, and functional analysis. This book provides a firm foundationfor advanced work in any of these directions.
VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences.
lt;p>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.
Erscheinungsdatum | 20.12.2018 |
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Reihe/Serie | Universitext |
Übersetzer | Roger Cooke, Octavio Paniagua |
Zusatzinfo | XX, 720 p. 42 illus. in color. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 1116 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Naturwissenschaften ► Physik / Astronomie | |
Schlagworte | Calculus • Differential Equations • Functions • Integral calculus • Limits • Real Numbers |
ISBN-10 | 3-662-56966-3 / 3662569663 |
ISBN-13 | 978-3-662-56966-5 / 9783662569665 |
Zustand | Neuware |
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