Best math textbook covering these topics?

[diredragon]

Hi everyone! I am starting to prepare for my admission test into college next year and I am looking for a best textbook which covers these topics ( with an adition of other it may also include but not disclude these)
Polynomials
Functions ( linear, quadratic )
Algebraic equations and inequalities
Logarithmic exponential and trigonometric functions
Complex numbers
Analytic geometry
Plae geometry
3d geometry
Combinatoris
I know that there are many books written on each topic but is there one or max 3 book dealing with this remindee od high school but on essentially higher level?
Which advance textbook(s) would you recommend?

 

[micromass]

Basic mathematics by Lang seems to be exactly what you're looking for.

 

[mathwonk]

I am going to suggest also Principles of Mathematics, by Allendoerfer and Oakley, covering most of your topics. Lang does more geometry, while A&O also hit calculus and probability.

http://www.abebooks.com/servlet/SearchResults?an=allendoerfer,+oakley&sts=t&tn=principles+of+mathematics