Massey D.B. Worldwide Multivariable Calculus

Worldwide Center of Mathematics, LLC, 2012. — 617 p. — ISBN: 978-0-9842071-3-8.Многовариантное Исчисление
Multivariable Calculus refers to Calculus involving functions of more than one variable, i.e., multivariable functions. Not surprisingly, it is important that the reader have a good command of one-variable Calculus, both di↵erential and integral Calculus, before diving into multivariable Calculus.
Several aspects of multivariable Calculus are quite simple. Partial derivatives are just one-variable derivatives, in which you treat all other independent variables as constants. Iterated integrals are the analogous concept for integration; the integrals involved are “partial integrals” (though no one calls them that).Multivariable Spaces and Functions
Multivariable Derivatives
Multivariable Integrals
Integration and Vector Fields