Beginning with the world of numbers one is enchanted chapter by chapter into the labryinth. Some effort is required on the reader's part but that is rewarded in full measure. It is something to ponder the sheer beauty of ideas and proofs. Patterns and their "invention" surprisingly correspond to aspects of nature.
The presentation here is excellent. I found this book a great joy to read. While much that is presented here I have read before, the work still gives me further insight on things that I missed. This book is a gem.
What a way to start the journey to the world of Mathematics.You open the book and start reading it.True to the title he takes you to a guided tour into the world of Mathematics considering each pillar of Mathematics as a country on its own.I have a read a four Volume series on the World of Mathematics by Newmann and I did wonder how beautifully the Mathematical areas with its own *Scenic beauty* has been described.But when I read this one,Yes ! I did get a feeling of having travelled to Mathematics World visited each place and had a good insight into each one.Ivars Peterson starts the journey by first visiting the Number World.He names this as the "Prime pursuit" and then slowly into the *theory of mathematical spaces* -topology and minimal surfaces.Wait!I hear you asking if it is all about pure mathematics.Certainly not,then and there to make the passengers feel comfortable ,just like a real guide ,he introduces the usefulness of the concepts in the emperical world.Be it quantum computing-the century's scientific thirst or the age-old yet golden primes ,the journey is very smooth ,no harsh surprises what one would term as mathematics of the mathematicians.This one is for the layman..A cool and lucid entry and exit in the world of Mathematics.After reading this book you will wonder,"have I visited so many *places* " but you will feel that you have learnt so many Mathematical stuffs,what this world is all about and mind you ,all these without even the slightest fatigue:)
A must read Popular Maths Book!
Overall a very fun read. And Peterson's brief treatment of the clash of computers with mathematical theorems is thought-provoking.
I have NOT read the updated edition yet but the original was quite good; surely the updated only improves upon it.