Calculus and Differential Geometry book proposition

[Devac]

I would like to recommend a widely-used in Easter Europe and Russian, unfortunately almost unheard of elsewhere, "Differential and Integral Calculus" by G.M. Fichtenholz to intermediate calculus section. First volume covers and supports with multiple examples for each section preliminary material about maps, relations, continuity, differentiation and analysis of function for single and multivariable cases with addendum covering Lagrange multipliers and similar methods. I can describe all volumes in detail if it is needed of me.

In intermediate differential geometry, or possibly calculus, I would like to recommend Loring W. Tu "Introduction to Manifolds" (second edition! there were few nasty bugs initially). Personally and after asking some of my students I find it as more verbose but much more approachable than Spivak's "Calculus on Manifolds". S. Morita "Geometry of Differential Forms" (again, second edition. but mostly because it's the only one I have access to) also would be my pick. It is very light and encouraging application and constant checking of reader's intuition, aside of few spikes it maintains a very gentle learning curve.

[ystael]

I will merge these notes in. Can you give me a name to credit you by?