Customer Reviews

Remarkable Mathematicians: From Euler to von Neumann (Spectrum Series)

5 star:		(3)
4 star:		(3)
3 star:		(1)
2 star:		(0)
1 star:		(0)

 

 

When reading about the great ones of mathematics, I always enjoy short biographies rather than long ones. If the biographer is required to fill a large section of a book, then they tend to cover more detail than I really care for. While I do enjoy some details about the personal life of a mathematician, anything more than just a few morsels tends to detract from their accomplishments in mathematics.
James strikes the perfect balance in describing the lives of these great historical figures. Each biographical sketch is less than ten pages and he covers their life from birth to death. One valuable thing that he does is give their complete names, which is often omitted from biographies. In fact, despite all of my reading about the people of mathematics, there were some whose full names I had not known until I read this book.
The emphasis is on the lives of the people, and the general concepts of the mathematics that they created, rather than the specifics. No formulas are used in the explanations. Personal and professional interactions are a large part of the life of nearly all mathematicians, and from these biographies, we learn many of the specifics of how contemporaries reacted to each other. As is always the case, the full range of human foibles are displayed as the lives of the mathematicians unfold.
The lives of these sixty mathematicians are described in chronological order according to their birth years. Given that they all began their mathematically productive lives at different ages, this leads to some degree of overlap in both directions. Nevertheless, it is possible to easily trace the development of the major mathematical ideas as they are nurtured from early germs to towering oaks.
Mathematicians are people who find themselves in a social and political environment that they must cope with and sometimes just survive in. In this book, you will learn about sixty of them who made a major contribution, sometimes starting from a point of privilege, and other times only after great struggle. It is well worth reading for pleasure and can also be used as a resource for a course in mathematical history.

Published in the recreational mathematics e-mail newsletter, reprinted with permission.

Don't miss these captivating tales of the life and the times of mathematicians starting from the period of Tsar Peter the Great of Russia, and right up to recent times, at least up to and including the Cold War. Even if you aren't in math, I think you are likely to be caught up in the drama of the various lives, times, and events. The writing is fast paced and engaging, much like that of Constance Reid's books: "Hilbert", or "Courant"... Over the tumultous historical periods, it has been said that mathematicians have been more likely than others to have been uprooted in the upheavals of history, perhaps because they are concerned with theories and ideas that are more universal. But their lives are still much affected by the times and the events of history: The French Revolution(Galois, Poisson, Fourier...), the Napolionic Wars(Cauchy, Abel...), the period of Bismarck and Nationalism in Europe(Weierstrass, Cantor, Lie...), the Russian Revolution(Alexander, Kolmogorov...), the two World Wars, and the crisis period between WWI and WWII(Banach, Hadamard, Courant, Hilbert...), and the Cold War(von Neumann, Wiener...). The pictures on the cover give you a sample of the profiles in the book: G. Polya, K. Weierstrass, A. N. Kolmogorov, N. Wiener, S. Kovalevskaya, and S.-D. Poisson. Even if you won't get to meet them in person (I was a guest at George Polya's ninetieth birthday!), this book is the next best thing.

The only reason that this book doesn't get 5 stars is because of the fact that not enough emphasis is placed on the achievements of the mathematicians in terms of their mathematics.

However, this does not take away from the fact that is is exteremely well researched, laid out and presented. We get a meaningful insight into how these geniuses (genii?) lived and that fact that they were quite ordinary people with the same levels of hardship (and in some cases even more) as the rest of us. Perhaps an improvement could be made on further mathematicians, both past and present.

Still recommended reading.

Mathematicians can be amazing people and are great contributors to society and education. What is really nice about this book is it doesn't use a lot of mathematical jargon when it tells about the lives of famous mathematicians. It is more like a series of biological sketches on each one. This is a very enjoyable read!

This book is concerned with the biographies of 60 great mathematicians who contributed to the development of mathematics during the last three hundred years. The lives of many of them are interwined because they were either close friends or enemies, a situation that is quite common in science as well as in other fields of human endeavour. Several mathematicians enjoyed a good and long life with the company of a supportive family but some, like Abel and Galoise, were unfortunate and perished at a very young age. Many of them contributed to a variety of mathematical fields during their lives while Euler and von Neumann were polymath that contributed also to many branches of physics and engineering. Reading the book is quite enjoyable and you can jump from the biography of one mathematician to another without following the chronological order of the book's chapters. In my opinion, this book is a nice complement to "The Princeton Companion to Mathematics" where you can find all the details of the mathematics developed by Euler and colleagues.

I read this book a few months ago. I thought it got kind of stale by the end, they way the author presents the information is fine, but I think that after a while the biographies start to run together. The mathematicians start to fall in similar types, like the mathematician who was famous and didn't have many problems who overshadowed a brilliant mathematician who fell into obscurity. You do learn a lot of information about the mathematicians themselves, but I think that the book could have been better with less mathematicians, or more important famous ones (extend the time frame).

This book is a collection of short biographies of notable mathematicians from Euler to von Neumann. It does a good job of explaining both a mathematicians background and the significance of their contributions to mathematics. Great to read through or as a reference to have on the shelf.