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Multivariable Calculus

Multivariable Calculus by George Cain & James Herod. A nice book!!
 
 

Linear Algebra

A nice book by J. Hefferon. Good as an introductory text for undergraduates.

"Elementary linear algebra", an award winning introductory book for undergraduates by K. Matthews.
 
 

Algebra

"Elements of abstract and linear algebra" By E.Conell. A great first intro to abstract math.

A text by R. Ash covering the standard first year graduate course in algebra.

Supplement to chapter 5 of J. Beachy's "Lecture notes on ring and modules", published by Cambridge U.P.

Supplement to chapter 7 of J. Beachy's "Abstract algebra", published by Waveland Press.

"A course on universal algebra" by S. Burris and H.P. Sankappanavar. Originally published by Springer-Verlag.

"A gentle introduction to category theory" by M. Fokkinga.
 
 

Analysis

Comapanion notes to Rudin's "Principles of  real analysis" by M. Silvia. A must have!

"Applied Analysis", by J. Hunter and B. Nachtergaele. Published by World Scientific. A very nice book!

"Elements on linear and real analysis". A very good book on functional analysis by S. Semmes.
 
 

Topology

"Elementary topology: A first course" by O. Viro et al. An introduction through problems.

"Algebraic topology I" by A. Hatcher. A comprehensive treatise of the subject.
 
 
 

Miscellaneous

"Dynamical Systems and Ergodic Theory", by Mark Pollicott and Michiko Yuri. Cambridge U.P.

"Differential Geometry in Physics" by G. Lugo. A nice introductory exposition.

Draft of "Manifolds, tensors, analysis and applications" By J. Marsden et al. Springer-Verlag.

Draft of "Introduction to mechanics ans simmetry" By J. Marsden and T. Ratiu. Springer-Verlag.