I am aged 62 and have lost all skill in mathematics. I would like to learn basic to advanced (primary school > university) math. What books explain such a vast variety of subjects or the following?
Algebra
Geometry
Trigonometry
Calculus
Linear Algebra
Analytic Geometry
On
Most high level books will not be able to contain all that information, because of how dense most of those topics are. However, if you are looking for a challenging read, the best text book I have ever read was Theodore Shifrins' Multivariable Mathematics. It contains a wide variety of things that you have posted, but in their most advanced form. It does not talk about the simple mappings you would talk about in a first year calculus course, but rather about mappings from R^N to R^M. It has a great introduction to linear algebra and some analytic geometry as far as some of the imagery and later integrals go.
I am uncertain as to how much skill it is you have lost over the years. If the above book seems too challenging, Stewarts' Calculus books are a great place to start. Many universities use this book as the introduction for most calculus courses. It will not, however teach you much linear algebra as Shifrins' book will, but it does in fact have everything else you were looking for.
Hope I could help.There is a lot more I could suggest, but I don't want to make this answer too dense and boring to read. Here are some links.
http://www.amazon.ca/Multivariable-Mathematics-Algebra-Calculus-Manifolds/dp/047152638X
On
In general, Schaum's books are very suited for self study. Here is for example a book that contains quite a bit:
http://www.amazon.co.uk/Schaums-Outline-College-Mathematics-Edition/dp/0071626476
Not a book, but I would strongly recommend KhanAcademy if you don't mind staring at a computer for long periods of time. It has great videos, exercises, instantaneous feedback and gives you hints as you work through problems, if you need them, but still want to work through the problem.
The range of topics is from elementary math to university math, and you can navigate using the world of math maps or select missions to work through. As a teacher I recommend it to my students all the time, and as a student, I use it to reinforce concepts I struggle with when going through my university courses.