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Author:   V. A. Zorich ,  Roger Cooke ,  Octavio Paniagua
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd ed. 2016
Dimensions:   Width: 15.50cm , Height: 4.00cm , Length: 23.50cm
Weight:   1.268kg
ISBN:  

9783662489918

ISBN 10:   3662489910
Pages:   720
Publication Date:   22 February 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   Russian

Table of Contents

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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Author Information

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.

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