Curvature Cosmology is a cosmology based on two hypotheses. The first, curvature redshift, is an interaction between photons and curved spacetime and produces the observed Hubble redshift. It can also explain the anomalous Pioneer 10 acceleration. The second, curvature pressure, is a reaction between spacetime and a hot plasma such that the hotter the plasma the higher the pressure that tries to flatten the space curvature. This pressure provides a stable static universe. The net result is a tired light cosmology that is in excellent agreement with observations without needing expansion, inflation, dark matter or dark energy. All of the standard objections to tired light models are fully overcome. The basic model has one free parameter, the average density of the universe. The model predicts a Hubble constant of 64.4 km/s/Mpc and a cosmic microwave background temperature of 2.62 K. Much of the theory has been published in major journals. In 2006 I wrote a book "Curvature Cosmology", Brown-Walker Press, which describes this cosmology. Since then I have corrected some theoretical errors and greatly expanded the observations that have been used to test the model. A free copy of this second edition is available on my web site: http://www.davidcrawford.bigpondhosting.com The pdf document has 150 pages and its size is 1.14 Mbytes. I would be delighted to receive comments or criticisms especially after you have read the book.