I am studying calculus, real analysis, and abstract algebra. Sometimes while solving problems in books such as Apostol's calculus I get stuck because I need to refresh my preliminaries. The preliminaries I am referring to include:
inequalities involved summation upto n terms,
properties of polynomials and their roots,
sometimes even geometrical properties of circles, spheres etc, and
another topic is the properties of factorials and nth powers etc, these come up quite often when trying to find out limits of sequences.
Can you suggest books which deal with one or more of these? Usually when I get stuck due to some mathematical inequalities I search for them on the net. But it would be great if I am able to strengthen my foundations. Thanks
P.S :- the geometry topics don't come up that often so if some book covers the other topics well, it would be great.