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Journey through Genius: Great Theorems of Mathematics
William Dunham
Wiley
, 1990 - 320 pages
average customer review:
based on 69 reviews
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highly recommended
Great book by William Dunham
It seems to me that some mathematicians, though in academic region, they may not achieve much, e.g. take Fields Medal, prove
great theorem
. However, they possess an ability to enlighten you to a certain subject, or entirely change your view of some subjects. It motivate you. William Dunham is probably the most reprentive one. Others include Ian Stewart, Carl Boyer etc. I think I do not need to give further praise as this has been done by most readers. I just want to say any book by Dunham would not fail you!!!!
Well written view of mathematics at its most creative
This book presents some of the most important
theorems
of
mathematics
, from the ancient Greeks to approximately 1900. It is a well-written sampling intended to be readable by people whose background in mathematics may be relatively limited and in fact it requires a command of the mathematics of only about halfway
through high
school to understand.
The only thing that should be understood is that some of the theorems (such as Heron's formula for the area of a triangle) while requiring no more mathematics than a high school sophomore geometry class, require you to follow a rather long chain of reasoning, which may lose some of the less-mathematical readers. But if you're willing to apply yourself, you can get a lot out of this book.
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A wonderful read for the would-be mathematician.
This book is a very good read for the layman. It provides enthrallingly vivid historical images, quick tutorials that enable the reader to handle generous servings of "real"
mathematics
, but most of all; it paints endearing portraits of many truly
great
yet truly human giants of mathematics. You look over Hippocrates robed shoulder as he ponders the quadrature of the lunes, grow teary-eyed as you witness the beloved Euler's good natured acceptance of blindness, and uneasily consider your own sanity as you contemplate the transfinite numbers that likely drove Georg Cantor mad. "
Journey
Through
Genius
" is a fine gift book for any person with a yet undiscovered talent and passion for mathematics.
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Superb Book!
Journey
Through
Genius
is one of those really superb books that you can read and enjoy over the course of your entire lifetime. It makes some of the difficult concepts of
mathematics accessible
to us mortals. Each time you go through it, you find that it contains a little more than you had seen before.
Unlike other books about the history of mathematics that merely discuss historical matters, this one actually explains, in clear and understandable terms, the mathematics it discusses. It does not presume that the reader already understands the
great
theorems
- it actually explains them, rather than just waving its arms at them.
For everyone who would like to understand more about mathematics (without having to do homework) this is a must-have book. It does NOT leave the details "to be worked out by the reader"; it explains them.
If all mathematics books were this good, we wouldn't be a nation of mathematical illiterates. This book is a treasure.
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Math History with Math
Many histories of
mathematics emphasis
biography rather than mathematics. This book emphasizes the mathematics by showing the proofs used by key thinkers in the history of mathematics. You learn about the thought processes of the
great minds
of mathematics. Well written and aimed at those who have a good high school mathematics background, the author analyzes how each key thinker derived his famous mathematical proof. A good supplimental reading for students who are required to do proofs.
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