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The Language of Mathematics: Making the Invisible Visible, by Keith Devlin
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"The great book of nature," said Galileo, "can be read only by those who know the language in which it was written. And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life―patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.
Taking the reader on a wondrous journey through the invisible universe that surrounds us―a universe made visible by mathematics―Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers―all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.
- Sales Rank: #330525 in Books
- Published on: 2000-03-13
- Released on: 2000-03-13
- Original language: English
- Number of items: 1
- Dimensions: 9.22" h x .96" w x 6.19" l, .96 pounds
- Binding: Paperback
- 352 pages
Amazon.com Review
Keith Devlin is trying to be the Carl Sagan of mathematics, and he is succeeding. He writes: "Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent of a pair of ears. Mathematics can be seen only with the eyes of the mind." All of his books are attempts to get around this problem, to "try to communicate to others some sense of what it is we experience--some sense of the simplicity, the precision, the purity, and the elegance that give the patterns of mathematics their aesthetic value."
Life by the Numbers, Devlin's companion book to the PBS series of the same name, is heavily illustrated and soothingly low on equations. But as he says, wanting mathematics without abstract notation "is rather like saying that Shakespeare would be much easier to understand if it were written in simpler language."
The Language of Mathematics is Devlin's second iteration of the approach he used in Mathematics: The Science of Patterns. It covers all the same ground (and uses many of the same words) as the latter, but with fewer glossy pictures, sidebars, and references. Devlin has also added chapters on statistics and on mathematical patterns in nature. --Mary Ellen Curtin
From Scientific American
...he skillfully gives both a history of the subject and a guide through the terrain.... Keith Devlin is an apt teacher of the language.
Review
“Keith Devlin's The Language of Mathematics is the perfect book for people who have questions about math they've always wanted to ask but were afraid they wouldn't understand the answers to.” ―Boston Book Review
“Devlin takes readers on a tour of the numeric underpinnings of everyday life.” ―Wired
“As Galileo put it, 'The great book of nature can be read only by those who know the language in which it was written. And this language is mathematics.' Keith Devlin is an apt teacher of the language.” ―Scientific American
“Devlin, who is able to write for generalists, embarks on the sea of numbers, shapes, and patterns. His voyage potentially had sixty or so destinations, the discrete topics that make up mathematics; to manage the trip Devlin limits the port of call to eight . . . Devlin's tour indeed achieves its purpose.” ―Booklist
“Those interested in a broad take on the history and current state of the art of math should look no further than The Language of Mathematics.” ―Publishers Weekly
Most helpful customer reviews
159 of 160 people found the following review helpful.
Clear and engaging
By Mike Christie
Keith Devlin is one of the best popular mathematics writers around, and this is one of his best works. The eight chapters cover number theory, set theory, calculus, group theory, topology, probability and the application of mathematics to the physical world. The discussion in each chapter, couched generally in English, not mathematics, is so clear that a math-phobic can understand it. By the end of each chapter a great deal of fascinating mathematics has been described, and in some cases the formal basis is sketched--but the emphasis is always on narration, and a lay reader who doesn't even want to understand mathematics can still read this and get a sense of the dramatic history of mathematics.
Devlin states at the end that he decided to exclude many areas of mathematics in order to focus more effectively on what he did cover. As a result there is little or no coverage of chaos theory, game theory, catastrophe theory, or a long list of other topics. The fact is there will always be holes in a book this size--mathematics has expanded so much in the last hundred years that even a book ten times this size could barely survey it. The decision to focus was a good one, and the subjects chosen are good: the truly exciting stories are here: Archimedes, Fermat, Gauss, Galois, Riemann, Wiles, and many more.
Potential purchasers should note, by the way, that this book was reworked from Devlin's "Mathematics: The Science Of Patterns". In Devlin's words (not from either book): "The Language of Mathematics is a restructuring of Science of Patterns that omits most of the color illustrations (a minus) but has two new chapters covering topics not in Science of Patterns (a plus). If you want lots of color, go for patterns; Language of Mathematics covers more ground." I've read both, and I have to say they're both worth getting. The two new chapters in this book are the ones on probability and the applications of mathematics in science; they're well done and interesting. However, the pictures in Science of Patterns are very high quality.
They're both fine books, and I can strongly recommend each of them. If you have to get one, I'd say get Science of Patterns. Even though Language of Mathematics does have some colour plates, Science of Patterns is really a gorgeous book to read with many good illustrations. I ended up buying both, and you may end up doing that too.
46 of 47 people found the following review helpful.
Step into the shoes of a mathematician
By J. Paul Holbrook
I've always had a like-hate relationship with math; I didn't do well in it in college, but I've long been fascinated by physics. There are many books for the lay person about the cutting edge in physics; books like that are harder to find in the world of mathematics.
But Keith Devlin has done it. He surely captured me near the beginning when he described mathematics as the study of patterns; a wonderful description that starts to get at why mathematics seems to be the language underlying the physical universe.
This was not an easy book for a slightly math-averse person, but Devlin's explanations were always clear, and more importantly, always gave a sense of context of what he was discussing.
39 of 40 people found the following review helpful.
we all agree
By Wyote
The other reviewers have done a fine job reporting that this is a fun, engaging book. I want to say that my level of math includes two semesters of calculus, and that was more than enough to understand and enjoy the contents of this book.
I'd known that knot-theory and set-theory various other kinds of math existed out there, but I didn't know much else. I'd never heard of projective geometry, although after reading this book I've found some nice examples online. I was introduced to these and other forms of math very gently and provocatively by Devlin's book, so if you are in a position similar to me, this is the book you want to read.
I read dozens of books a year; and every year for Christmas I give my father the five best books I've read in that year, with the provision that they must be diverse and comprehensible to him: an intelligent man, though largely self-educated, with no papers to show, but a "working-man's PhD," as Aaron Tippin sang. As a testament to the comprehensibility of this book, it will be waiting for him this December.
As for myself, someday I hope to continue studying math at a universtity; for now my curiosity is sated with books like this, and it pleased me very much.
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