Advanced Calculus of Several Variables

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INFORMATION

AUTHOR
C. H. Edwards Jr.
DIMENSION
4,90 MB
FILE NAME
Advanced Calculus of Several Variables.pdf
ISBN
6571185825221

DESCRIPTION

Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

Multiple Integrals Chapter 5. CHANGE OF VARIABLES.

It is customary to describe the graph in 3 of a function f : 2 → as a "surface" lying "over" the xy -plane 2. Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Among the topics covered are the basics of single-variable differential calculus generalized to higher dimensions, the use of approximation methods to treat the fundamental existence theorems of multivariable calculus, iterated integrals and change of variable, improper multiple integrals and a comprehensive discussion, from the viewpoint of differential forms, of the classical material associated with line and surface integrals, Stokes' theorem, and vector analysis. This item: Advanced Calculus of Several Variables (Dover Books on Mathematics) by C. H.

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