Zorich's Mathematical Analysis, Volume II

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Springer just published a new English version of Vladmir Zorich's two-volume Mathematical Analysis. I was looking at the second volume. It seems to have sections on both Multivariable/Vector Calculus and Differential Forms and the basic of Differential Geometry.

I have meaning to read these topics to further my knowledge of Analysis (of one variable) and introduce myself to Differental Geometry for General Relativity since I'm a student of physics.

What is the general conception of the second volume of Zorich's book? Also, is reading the first volume a pre requisite to go to the second volume.

Thanks.