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Adventures of a Mathematician

Adventures of a Mathematician

List Price: $21.95
Your Price: $21.95
Product Info Reviews

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Rating: 5 stars
Summary: An examined life
Review: Before I start, let me say that, for me at least, this is one of the most fascinating and entertaining books I've ever read. But I'm a special case, as you'll see...

Stan Ulam was head of the math department at U. of Colo., Boulder, where I was a doctoral candidate circa 1970. I hardly knew him to speak to, but heard about his participation in the Manhattan Project, and that many of those connected with it considered him to be the "father of the H-bomb" rather than Edward Teller. Having already been put off by the dryness and lack of application of a great deal of the math I'd studied, I was intrigued on hearing that a pure mathematician could have played such a central part in that effort. That, and the book's title, convinced me to buy it, even though I was an impoverished grad student.

There are many reasons why I love this story, but I think foremost is the picture of a gregarious, open, and sometimes mischievous man who was also bright enough to hold his own with the leading scientific minds of the 20th century. The sketches of the many famous people he worked with are priceless -- for example, Enrico Fermi, Richard Feynman, George Gamov. And especially John von Neumann, possibly the most brilliant mathematician of that time, certainly the most diverse and prolific (he practically invented the computer industry that I now work in). Having tried to read his work on game theory, it's especially comforting to me to hear Ulam refer to him as "Johnny".

My struggles with some of the math mentioned in the book give it special meaning to me, but this is not a technical book at all, and I hope that aspect won't be off-putting to non-mathematicians. Ulam was simply trying to give an honest picture, through the lens of his own experiences and friendships, of how people become mathematicians, of how essential group efforts are to progress in science and math, and of the staggering accomplishments that can result when people push the limits of thought. This book is about history and humankind, by one of the brightest and most thoughtful individuals who ever lived.

Rating: 5 stars
Summary: An examined life
Review: Before I start, let me say that, for me at least, this is one of the most fascinating and entertaining books I've ever read. But I'm a special case, as you'll see...

Stan Ulam was head of the math department at U. of Colo., Boulder, where I was a doctoral candidate circa 1970. I hardly knew him to speak to, but heard about his participation in the Manhattan Project, and that many of those connected with it considered him to be the "father of the H-bomb" rather than Edward Teller. Having already been put off by the dryness and lack of application of a great deal of the math I'd studied, I was intrigued on hearing that a pure mathematician could have played such a central part in that effort. That, and the book's title, convinced me to buy it, even though I was an impoverished grad student.

There are many reasons why I love this story, but I think foremost is the picture of a gregarious, open, and sometimes mischievous man who was also bright enough to hold his own with the leading scientific minds of the 20th century. The sketches of the many famous people he worked with are priceless -- for example, Enrico Fermi, Richard Feynman, George Gamov. And especially John von Neumann, possibly the most brilliant mathematician of that time, certainly the most diverse and prolific (he practically invented the computer industry that I now work in). Having tried to read his work on game theory, it's especially comforting to me to hear Ulam refer to him as "Johnny".

My struggles with some of the math mentioned in the book give it special meaning to me, but this is not a technical book at all, and I hope that aspect won't be off-putting to non-mathematicians. Ulam was simply trying to give an honest picture, through the lens of his own experiences and friendships, of how people become mathematicians, of how essential group efforts are to progress in science and math, and of the staggering accomplishments that can result when people push the limits of thought. This book is about history and humankind, by one of the brightest and most thoughtful individuals who ever lived.

Rating: 4 stars
Summary: A Mathematician in Physics
Review: For its greatest part, the book is about Ulam's encounter with other scientists. It's thus a must-have for all historian of science, with great details about the three important Ulam's acquaintances: Banach, Von Neumann and Fermi. However, it's not what is making this book an invaluable document.

Ulam was a pure mathematician, like Banach or ErdÆs, not like Dirac or Einstein. Yet he had the ability to escape from formal abstract considerations to think about how other sciences could show him a path to new mathematical considerations. In this regard, the Monte Carlo method and all his proposals to non-linear systems and usage of computers for exploring them may be are his greatest achievements (his H-bomb papers are classified, and I like to think Monte Carlo is still more useful).

For that matter, this book is of the greatest interest for he who wish to deepen his understanding of links between mathematics and physics, that are usually discussed by physicists often having very poor idea of what mathematics really are about. The chapter "random reflections" is a jewel which by itself makes worth buying the book, explaining for instance how practical problems can lead to new mathematical concepts, how mathematic theories link altogether, or advocating the use of computers to help mathematicians view new spaces of new objects. Many aside jokes or peculiar reflections--like how mathematics change according to what language one is exploring them with (English, Russian, French, German...)--make the book very entertaining, seldom boring. This "mathematician's mathematician"'s overview of this century's science (he also had some contributions to biology) is thus highly recommended.

(caution to purists: the book has been edited by Ulam's wife from recorded tapes, he didn't write it.)

Rating: 5 stars
Summary: The Monte Carlo method
Review: Monte Carlo simulation was discovered by Stanislaus Ulam and today is used by millions in all walks of life. It is the basis for planning and decision making in for corporations and in all issues of public and private life.

Ulam says "The idea...occurred to me when I was playing solitaire during my illness. I noticed that it may be much more practical to get an idea of the probability of the successful outcome of a solitary game...by laying down the cards, or experimenting with the process merely noticing what proportion comes out successfully..."

The advent of computers removed the need for "hiring several hundred Chinese from Taiwan" and made the progress of rational thought ubiquitous.

It is the most striking example of the triumph of mathematics in real life.

Andrew Vazsonyi, Real-life mathematician

Rating: 4 stars
Summary: Fascinating insight into the mind of a mathmatician.
Review: Surprisingly easy to read. It is an interesting perspective on the communitiy of scientists working at Los Alamos before and after the development of The Bomb. Ulam deftly considers all aspects of his life juxtaposed with those around him; sociological, philosophical and even poignant glimpses into the theological.

Rating: 4 stars
Summary: Stanislaw Ulam and other mathematician lives.
Review: The very first time I heared from Stanislaw Ulam was reading a book by Otto Robert Frisch (What little I remember). In this book he said that a polish mathematician called Ulam was doing mathematics for the Hydrogen Bomb but his maths were deviating so much from abstract that he even used numbers with decimals in his formulas. This funny comment opened my curiosity to know more about this guy doing maths. Well, years later I bought this book and surprisingly he mentioned the comment by O.R Frisch. What a coincidence! I liked the book. He details his life and other genius lives: John von Neuman, Paul Erdos, Fermi, etc. No necessity to know maths. No formula within the book. Easy to read. Stan Ulam was co-father of the Hydrogen Bomb but everybody knows Edward Teller but not him. He makes especial emphasis in Alamos times (Ulamos times). Enjoyable book.

Rating: 4 stars
Summary: Easy to read, interesting book about Ulum
Review: This is a remarkable book of one that excelled in mathematics, physics and engineering. The stories of his youth, when he made mathematics at a "cafe'" in Poland, with, among others, the great Banach, are wonderful. Also, beautiful and moving portraits of Von Neumann and Enrico Fermi. Everything told with a great sense of drama.

Rating: 5 stars
Summary: Excellent autobiography
Review: Ulam is an interesting character and an interesting mathematician. It is a pleasure to read his very human autobiography...


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