Rating: 
Summary: A Winner
Review: There is more mathematics in this book, more interestingly explained than any other of its type that I have read. What is its type? Well, I guess it comes under the category of 'Popular math' or in the jargon 'trade books' but don't be fooled by that; to get something out of it you need some math knowledge-and more than that, some math ability. There are symbols everywhere. The constant Gamma just had to be the next single number to appear as the subject of a book and with the books on e and i under their belt I guess that Princeton would be the obvious publisher. Havil, a first-time author, could easily have made the grave mistake of writing a gritty book on analysis with gamma as its focus but he didn't do that. He decided on a historical approach and to divide his attention between the harmonic series, logarithms and gamma itself. As a result the book really is a mathematical odyssey (publisher's blurb)which embraces a huge number of ideas, each of which has a natural place in the development. For the first time I really understand Napier's approach to logarithms and how it relates to what we now define them to be. For the first time I understand that wakky Benford's Law. For the first time I understand the Riemann Hypothesis. There is stacks more stuff too. The Continued Fraction chapter has really got me into that cool idea, which I had only vaguely heard about. Euler was for me the man who solved the 7 bridges of Konigsberg problem-I had no idea just how fantastic he was.They tell us that Havil is a math teacher at Freeman Dyson's old high school. What a school that must be-I wish I had gone there and I would like to have been taught by a teacher who is so clearly knowledgeable and enthusiastic about his subject! Dyson wouldn't put his name to the book just becaause he is an alumni. He rates it and its real easy to see why. Every so often you come across a winner...for me this is the first this year.
Rating:
Summary: Wonderful Read
Review: This book was very interesting to read. I am very much into reading about mathematics and its history, which this book supplied both in great quantities. The author does a great job of describing the role that logarithms and harmonics play in fields like number theory and analysis and their deep connection with the mysertious Riemann Hypothesis.
Rating:
Summary: Who would have thought!?
Review: Who would have thought that there can be so much life in a constant? And one with a Greek name! If you have some math interests, I predict that you will get caught up in the thread of events: They are mathematical topics, but are presented like in a novel or a drama. A book that I couldn't put down. The main characters are the harmonic series, the sub-harmonic series, Riemann's Zeta function, its functional equation, its zeros, the Riemann hypothesis(it is worth a million dollars!), the prime number theorem, (..hard stuff! but it somehow seems easy in this book),Bernoulli numbers, Pell's equation, the distribution of prime numbers.... And if you forgot some of your math, you will have it reviewed in the appendices. They are attractive, well written, and to the point.
| 
