Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

I have just finished reading Prime Obsession by John Derbyshire. A casual math book  which I will pass my thoughts and recommendations about this book in this post.


Prime Obsession is a book about the history surrounding Bernhard Riemann and the Riemann Hypothesis. A hypothesis, which is more than 150 years, and still haven’t been neither proved nor falsified. The Riemann Hypothesis tells us a lot about the Riemann zeta function and how it is linked to the distribution of  primes. This link is the turning point for the whole book.

When I first encountered the book I did not like the writing style of John Derbyshire to be honest. It was in a very conversational tone. But as I progressed through the book I partly forgot about the writing style. More importantly; the content was so great that the writing style for unimportant to me.

The book covers two aspects of the Riemann hypothesis. The even chapters (oh, the author is a mathematician after all – so why not) gives the reader a historical account about European mathematics. They cover many things from a few generations before Riemann all the way to today. I loved these chapters which introduced me to a lot of the persons naming the famous theorems that we are using today such as Gauss, Euler and of course Riemann himself.

The remaining chapters (the odd ones) covers a wide range of mathematical topics. The culmination is the explanation of the Riemann hypothesis and how the non trivial zeros of the zeta function links to the distribution of the primes. Most of the chapters were written in what I would consider being an accessible way which gives a fine introduction to the mathematical topics. It is by no means a textbook that will give you the deeper understanding of the subjects it touches, but it gives you an introduction and tells you what the idea of the subject is.

The only part I didn’t grasp was a chapter on field theory, I thought it lacked something. However, it wasn’t that essential for the main result I think. The main result was a bit complicated to understand as well, but reading the last two odd chapters again helped a lot. I wont say I understand the Riemann hypothesis in the mathematical sense, but I have a conceptual idea of what it does. So this book delivered exactly what it promised to do. Besides that it also inspired me to continue the wonderful journey through mathematics.

If you haven’t read it yet, this is an obvious choice for an item on the wish list.

Posted by Kristian

2 comments

Help! I don’t understand this theory of Bernhard Reimann’s at all, yet I have to complete a project on it by thursday! Please can you help me to understand it?!

Hi

I don’t think I can help you understand it by Thursday. I can recommend you to read the book as I think it gives a good description. But then again it depends on what level you need to understand it and describe it..

/Kristian

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