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Gamma and Beta functions. Euler's reflection formula for the gamma function plays an important role in the unsolved Riemann hypothesis. He will treat Riemann function, its analytic continuation and the relation to prime numbera later in the book!

So far, excellent. I think this book is going to refresh my knowledge of integration and teach me a lot. The first chapter is full of wonderful integrals solved with incredibly clever ideas.

Curiosity: mathematician G. H. Hardy loved definite integrals. He couldn't resist to try an interesting integral when he saw one.

It has been talking about the cognitive revolution. And it has certainly make a good case, explaining how our abstract language gave extraordinary power to the Sapiens. But Neanderthals had bigger brains, there were other "Homo" out there, why Sapiens? He says that it was probably an accidental genetical mutation that allowed this abstract language in our brain.

Perhaps the cruise wasn't funny, but this book is funny, and a lot. A lucid and intelligent book, as intelligente as his author.