Useful books on current science?

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I’m mainly interested in cosmology; can you recommend good primers on current thinking in this area?
 
If you have a high level of knowledge in tensor calculus, either Narlikar’s Introduction to Cosmology or Weinberg’s Cosmology textbook should be good.

If you have no knowledge of tensor calculus, then Stephen Hawking’s A Brief History of Time and Carl Sagan’s Cosmos are probably the best you can get.

While none of the above are ‘current’ by any means, they are full of information about cosmology. The best place to get current cosmology theory is to check out arXiv’s cosmology entries. But it also requires you have good knowledge of tensor calculus.
 
A primer is a book that introduces a subject. Whether you want a strictly secular atheistic approach to cosmology, or a religious approach, determines which source you might want to go with.

The Wonder of the World, 2003, by Roy Abraham Varghese is a good introduction to cosmology and other aspects of the physical sciences, including evolution. Varghese is a theist and this book was influential in turning the famous atheist Antony Flew toward God before he died.

Another good source as an introduction is Gerald Schroeder’s The Science of God. 1997. In Chapters 3 and 4 Schroeder, a physicist, makes an interesting attempt to find a correspondence between the the history of the universe and the seven days of Creation in the Book of Genesis.
 
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