Looking for a good book(s) on the sciences

"What Evolution Is" by Ernst Mayr is a good old school non-controversial introduction imo.If you are going to read Dawkins or Gould you should realize that they have a lot of disagreements with regard to some of the specifics of evolution, e.g., unit of selection, relative roles of selection and chance, etc.So after you read a book by Dawkins and/or Gould and have a grasp of the subject I'd put "Dawkins vs. Gould: Survival of the Fittest" on your reading list to understand their differing viewpoints.

I forgot to mention Paul Davies wrt to Cosmology. I read "The Cosmic Jackpot" which gives a clear concise summary of the subject as well as some philosophy behind it.