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Charles Seife

Zero - the biography of a dangerous idea

Zero is a strange sort of number - for instance division by zero in a computer program causes all sorts of problems. This book is a look at the development of the concept of zero, and infinity, zero's twin, from ancient times to recent discoveries in cosmology and quantum physics. Aristotle tried to hide paradoxes associated with zero, with pronouncments such as 'Nature abhors a vacuum'. This held back the development of mathematics in the West, while in the East zero was accepted and the subject flourished. Eventually the usefulness of zero was accepted in the West, and mathematics took off agian, leading to the use of infinitesimals and the development of the calculus. I felt that the book would be very useful to someone learning calculus, as it gives a clear description of the ideas behind the subject.

The later part of the book looks at the concepts of zero and infinity in physics. Concepts looked at include absolute zero, the ultraviolet catastrophe and zero point energy. This is well written, giving a clear flavour of the ideas, without needing technicalities.

The book is fast moving devoting a couple of pages to each topic before moving on. To a large extent this succeeds, it has a lot of material of interest without getting boring. However, I did sometimes feel that some subjects weren't particularly related to zero, and that more space could have been given to those that were. That said, it was an enjoyable read, and has wide ranging appeal, being suitable for anybody who likes a bit of light reading on scientific and mathematical subjects.

Amazon.com info

Hardcover 256 pages
ISBN: 067088457X
Salesrank: 406479
Weight:0.95 lbs

Published: 2000 Viking Adult

Marketplace:New from $6.35:Used from $4.97

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Amazon.co.uk info

Hardcover 248 pages
ISBN: 0285635867
Salesrank: 966775
Weight:0.93 lbs

Published: 2000 Souvenir Press Ltd

Marketplace::Used from £11.48

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Amazon.ca info

Hardcover 256 pages
ISBN: 067088457X
Salesrank: 236455
Weight:0.95 lbs

Published: 2000 Viking USA

Marketplace:New from CDN$ 27.95:Used from CDN$ 5.15

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Book Description
A concise and appealing look at the strangest number in the universe and its continuing role as one of the great paradoxes of human thought The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now, as Y2K fever rages, it threatens a technological apocalypse. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. In Zero science journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. Here are the legendary thinkers--from Pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists--who have tried to understand it and whose clashes shook the foundations of philosophy, science, mathematics, and religion. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for a theory of everything. Readers of Fermat's Enigma, The Man Who Loved Only Numbers, Seeing and Believing, and Longitudewill find the revealingly illustrated Zero freshly informative, easy to understand, and--infinitely--fascinating.

Book Description

A concise and appealing look at the strangest number in the universe and its continuing role as one of the great paradoxes of human thought

The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now, as Y2K fever rages, it threatens a technological apocalypse. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything.

In Zero science journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. Here are the legendary thinkers--from Pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists--who have tried to understand it and whose clashes shook the foundations of philosophy, science, mathematics, and religion. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for a theory of everything.

Readers of Fermat's Enigma, The Man Who Loved Only Numbers, Seeing and Believing, and Longitudewill find the revealingly illustrated Zero freshly informative, easy to understand, and--infinitely--fascinating.

Interesting, but a bit stretched ****
The book was something like 200 pages, but it read like it was a little more than that. The good points: 1. An interesting demonstration of how things that are only of moment to intellectuals at one point in time become things of great significance later. 2. An interesting demonstration of how ugly the fight for influence can be. (It is interesting to speculate that people now are no different to what they have been for the last 250,000 years, and that the motives of people who seek to "educate" others about environmentalism/ military-industrial complexes/ etc.) may not be as pure as what they seem. 3. The perspective on the dynamics of the Catholic Church's suppression of contrary ideas was also very interesting. Many people (preferring to spout anti-religious screed) do not treat this fact as one set of intellectuals fighting to impose their vision to the detriment of some other set of intellectuals' vision-- which it in fact seems to be. 4. It was interesting to note how slow the development of ideas was. Can a person really believe that it took nearly a thousand years to popularize the number "0" until he reads this book? Bad points: 1. The treatment of differential calculus was diminished by the use of strange notation. It might have been easier to show how this would come up in the context of trying to solve a real problem rather than just presenting the idea the way that it was presented. 2. The treatment of integral calculus is simply poor. He could have spent a few more pages on it without diminishing the book. 3. The treatment of the Riemann plane was not good, either. I understood the calculus before reading the book, and so I could see what he was trying to get at. However, I didn't understand much of anything after that. So the weakness of the explanations became more evident when delving into new topics. 4. The book could have used some additional appendices to flush out explanations that the author didn't want to put in the text of the book. 5. The topic of the book seems to become a bit stretched at the end. It goes from explaining the intellectual history of zero to its uses in physics, and the transition is not smooth. One gets the feeling that the author was stretching to find a connection to finish the book. All in all, worth the purchase price of a secondhand book.

Interesting, but a bit stretched ****

The book was something like 200 pages, but it read like it was a little more than that.

The good points:

1. An interesting demonstration of how things that are only of moment to intellectuals at one point in time become things of great significance later.

2. An interesting demonstration of how ugly the fight for influence can be. (It is interesting to speculate that people now are no different to what they have been for the last 250,000 years, and that the motives of people who seek to "educate" others about environmentalism/ military-industrial complexes/ etc.) may not be as pure as what they seem.

3. The perspective on the dynamics of the Catholic Church's suppression of contrary ideas was also very interesting. Many people (preferring to spout anti-religious screed) do not treat this fact as one set of intellectuals fighting to impose their vision to the detriment of some other set of intellectuals' vision-- which it in fact seems to be.

4. It was interesting to note how slow the development of ideas was. Can a person really believe that it took nearly a thousand years to popularize the number "0" until he reads this book?

Bad points:

1. The treatment of differential calculus was diminished by the use of strange notation. It might have been easier to show how this would come up in the context of trying to solve a real problem rather than just presenting the idea the way that it was presented.

2. The treatment of integral calculus is simply poor. He could have spent a few more pages on it without diminishing the book.

3. The treatment of the Riemann plane was not good, either. I understood the calculus before reading the book, and so I could see what he was trying to get at. However, I didn't understand much of anything after that. So the weakness of the explanations became more evident when delving into new topics.

4. The book could have used some additional appendices to flush out explanations that the author didn't want to put in the text of the book.

5. The topic of the book seems to become a bit stretched at the end. It goes from explaining the intellectual history of zero to its uses in physics, and the transition is not smooth. One gets the feeling that the author was stretching to find a connection to finish the book.

All in all, worth the purchase price of a secondhand book.

Good work of science ****
This book looks at the idea of zero, and its opposite, infinity, in the history of human thought from multiple civilizations, such as the Mayans, Indians, Arabs, ancient Greeks, Renaissance Europe, and China. The book is fast-paced and the author adds in some humor here and there. For a book about math, the subject material was made quite accessible, and the author added in the occasional drawings, proofs and derivations to explain concepts better. Quite an enjoyable read.

Good work of science ****

This book looks at the idea of zero, and its opposite, infinity, in the history of human thought from multiple civilizations, such as the Mayans, Indians, Arabs, ancient Greeks, Renaissance Europe, and China. The book is fast-paced and the author adds in some humor here and there. For a book about math, the subject material was made quite accessible, and the author added in the occasional drawings, proofs and derivations to explain concepts better. Quite an enjoyable read.

Highly Entertaining *****
I am a math teacher and read this book on recommendation from a fellow math teacher. The book is well-suited for high schoolers (as far as concepts go), but can also be used in middle school. I start by saying that I find history, even the history of math, fascinating; my emphasis in teaching is on the "why" and often times, that answer is found in history or in the field of ethnomathematics. Not only is the book educational, it is extremely well written. Often times it is even funny. I highly recommend this book to anyone interested in history or math.

Highly Entertaining *****

I am a math teacher and read this book on recommendation from a fellow math teacher. The book is well-suited for high schoolers (as far as concepts go), but can also be used in middle school. I start by saying that I find history, even the history of math, fascinating; my emphasis in teaching is on the "why" and often times, that answer is found in history or in the field of ethnomathematics. Not only is the book educational, it is extremely well written. Often times it is even funny. I highly recommend this book to anyone interested in history or math.

Zero ***
This is an interesting book that has some flaws. The most fascinating were the earlier parts of the book that addressed the various cultures around the globe and how their practical needs and philosophical points of view affected their mathematical development, and how the number zero fit into that big picture. As the book progresses the author tries to address cosmology on larger and larger scales, and he stretches things quite a bit. There also seemed to be a good bit of filler. I think if the author had stuck to the more mathematical side of the story this could have made for a really great extended magazine article, such as you might read in The Atlantic.

Zero ***

This is an interesting book that has some flaws. The most fascinating were the earlier parts of the book that addressed the various cultures around the globe and how their practical needs and philosophical points of view affected their mathematical development, and how the number zero fit into that big picture. As the book progresses the author tries to address cosmology on larger and larger scales, and he stretches things quite a bit. There also seemed to be a good bit of filler. I think if the author had stuck to the more mathematical side of the story this could have made for a really great extended magazine article, such as you might read in The Atlantic.

1000 years lost to superstition *****
Who new zero could be so feared by Western Civilization? We musn't let new ideas scare us away from exploration. No one...not government...not church...not education has that right. With zero forbidden by these three bastions of civilization, we lost 1000 years of knowledge. "Zero: The Biography of a Dangerous Idea" by Charles Seife is a wonderful trip through the development and evolution of zero and infinity; sometimes quirky, sometimes humorous, but always a little sad that knowledge was forbidden. You don't have to be a math genius to read it...only curious.

1000 years lost to superstition *****

Who new zero could be so feared by Western Civilization? We musn't let new ideas scare us away from exploration. No one...not government...not church...not education has that right. With zero forbidden by these three bastions of civilization, we lost 1000 years of knowledge.
"Zero: The Biography of a Dangerous Idea" by Charles Seife is a wonderful trip through the development and evolution of zero and infinity; sometimes quirky, sometimes humorous, but always a little sad that knowledge was forbidden.
You don't have to be a math genius to read it...only curious.

Highly Recommended *****
This is an excellent history of number Zero. Charles Seife takes you from the start, tracing the ideas of zero and inifity through time and how their concepts have been feared and embraced, how they've affected and forced evolution upon religious, philosophical, societal, and scientific ideas. I think this book should be part of any mathematics course. Highly recommend this book!

Highly Recommended *****

This is an excellent history of number Zero. Charles Seife takes you from the start, tracing the ideas of zero and inifity through time and how their concepts have been feared and embraced, how they've affected and forced evolution upon religious, philosophical, societal, and scientific ideas. I think this book should be part of any mathematics course. Highly recommend this book!

Zero and infinity ****
Babylonians invented it, Indians worshipped it, Greeks abhorred it. Zero has been a problematic number for a long time. European mathematicians followed Greek footsteps, until they finally realized how important thing zero was for advanced mathematics. Seife presents us the history of zero and its sister concept infinity, not only in mathematics, but also in physics and quantum mechanics. Zero is an entertaining book, if a bit light. For quick popular science entertainment purposes it's a good choice. (Review based on the Finnish translation.)

Zero and infinity ****

Babylonians invented it, Indians worshipped it, Greeks abhorred it. Zero has been a problematic number for a long time. European mathematicians followed Greek footsteps, until they finally realized how important thing zero was for advanced mathematics.

Seife presents us the history of zero and its sister concept infinity, not only in mathematics, but also in physics and quantum mechanics. Zero is an entertaining book, if a bit light. For quick popular science entertainment purposes it's a good choice. (Review based on the Finnish translation.)

one of the best maths books around *****
Being an undergraduate philosopher I've had to read a lot of maths books, and this is by far the best. It's true that you don't need much maths background to understand it, but it's also highly enjoyable for those with a lot of maths or physics knowledge - it links up and explains general assumptions in a way which seems never to occur to most teachers of sciences courses. The proof of 0=1 (and, extrapolating, that winston churchill = a carrot) is excellent and well worth committing to memory just to freak out any maths nerds one knows. Also worth a go is the step-by-step guide to making your own wormhole time machine (Step 1: Make a small wormhole, and attach one end to something really heavy). Really excellent, buy everyone you know a copy for christmas.

one of the best maths books around *****

Being an undergraduate philosopher I've had to read a lot of maths books, and this is by far the best. It's true that you don't need much maths background to understand it, but it's also highly enjoyable for those with a lot of maths or physics knowledge - it links up and explains general assumptions in a way which seems never to occur to most teachers of sciences courses. The proof of 0=1 (and, extrapolating, that winston churchill = a carrot) is excellent and well worth committing to memory just to freak out any maths nerds one knows. Also worth a go is the step-by-step guide to making your own wormhole time machine (Step 1: Make a small wormhole, and attach one end to something really heavy). Really excellent, buy everyone you know a copy for christmas.

Mathematics history ****
A very readable book. This book covers the life story of the number zero, and it is a facinating story which is being told. You do not need to have a better than average understanding of maths to be able to appreciate this book. A good read, highly recommended.

Mathematics history ****

A very readable book. This book covers the life story of the number zero, and it is a facinating story which is being told.

You do not need to have a better than average understanding of maths to be able to appreciate this book.

A good read, highly recommended.

Review for Zero:the Biography of a Dangerous Idea *****
This book was absolutely wonderful, it delves into the history of mathematics, as far back as the creation of numbers themselves. It looks at the contribution that the Greeks, Babylonians and Hindus made to mathematics, and how religion had restricted the development of mathematics. The book was written very well, it felt like a story book, rather than a factual book. I recommend this book for everyone with an interest in Maths, you do not need to be a mathematician to enjoy this book.

Review for Zero:the Biography of a Dangerous Idea *****

This book was absolutely wonderful, it delves into the history of mathematics, as far back as the creation of numbers themselves. It looks at the contribution that the Greeks, Babylonians and Hindus made to mathematics, and how religion had restricted the development of mathematics. The book was written very well, it felt like a story book, rather than a factual book. I recommend this book for everyone with an interest in Maths, you do not need to be a mathematician to enjoy this book.

Fantastic Read *****
I would never have believed it myself, but of all the books sitting in my shelf, this is one of those that I reread the most. The Biography presents a grand picture through a series of anecdotes, mixed with a fair bit of mathematics understandable by everyone. This book gives an idea of the history and confusion behind every scientific idea our lives are founded on today.

Fantastic Read *****

I would never have believed it myself, but of all the books sitting in my shelf, this is one of those that I reread the most. The Biography presents a grand picture through a series of anecdotes, mixed with a fair bit of mathematics understandable by everyone. This book gives an idea of the history and confusion behind every scientific idea our lives are founded on today.

not so dangerous ****
as the title suggests, this book is not so dangerous...but, very interesting...found it to be informative and a definite read for all high school addicts and wanna bees...got it from Dale books in Nova Scotia...on time and in very good condition, thank you, again,Dale Books

not so dangerous ****

as the title suggests, this book is not so dangerous...but, very interesting...found it to be informative and a definite read for all high school addicts and wanna bees...got it from Dale books in Nova Scotia...on time and in very good condition, thank you, again,Dale Books

Zero is fundamental ****
Entertaining book for students of philosophy, historians, and math neophytes, but Seife's simple-minded application of the principle of the conservation of energy to the quantum electrodynamic sea of spacetimemassenergy, i.e. the "zero point field," among other things, reveals him to be among the least imaginitive of physicists. His dismissive proposition that "nothing can come from nothing," overlooks the very simple fact that the QED sea of energy is hardly "nothing," otherwise there would be no such thing as Brownian motion or the Casimir Effect, not to mention the space, time, mass, and energy of our universe. Hal Puthoff claims that a cupful of this so called "vacuum energy" could boil away the oceans of our planet. (The most intriguing concept of "zero" is that promulageted by today's heretics such as Tom Bearden.) Presumably, however, Seife's math and philosophical history of zero is accurate. Before reading this book, this reader had known very little of it, and it was this part that he found quite enjoyable.

Zero is fundamental ****

Entertaining book for students of philosophy, historians, and math neophytes, but Seife's simple-minded application of the principle of the conservation of energy to the quantum electrodynamic sea of spacetimemassenergy, i.e. the "zero point field," among other things, reveals him to be among the least imaginitive of physicists. His dismissive proposition that "nothing can come from nothing," overlooks the very simple fact that the QED sea of energy is hardly "nothing," otherwise there would be no such thing as Brownian motion or the Casimir Effect, not to mention the space, time, mass, and energy of our universe. Hal Puthoff claims that a cupful of this so called "vacuum energy" could boil away the oceans of our planet. (The most intriguing concept of "zero" is that promulageted by today's heretics such as Tom Bearden.) Presumably, however, Seife's math and philosophical history of zero is accurate. Before reading this book, this reader had known very little of it, and it was this part that he found quite enjoyable.

A good summary ***
Despite the abstract nature of it's subject matter, this book is a surprisingly breezy and informative read about the history of zero and it's value in the mathematics (and scientific) revolutions of the 1600s and still today. It's part history, part math primer, and part practical guide, with the later chapters focussing on how the zero is used in physics and astronomy. Seiff has an engaging style and he doesn't talk down or talk above the reader. Although Seiff obviously is an expert in difficult math, he doesn't overwhelm you with equations or get too abstract. Even sections on trig and calculus are written in everyday language that you can easily follow. The book does begin to trail off at Chapter 7-8, from here much of the book seems like filler. I preferred "The Nothing That Is" (also about the zero number) a little because I was more interested in the history and that book covers it more, but Seiff still does a fine job here with history of zero, and his book is probably more useful for students trying to know how to use the zero and it's concepts for their math classes, especially figuring out the limit and other calculations.

A good summary ***

Despite the abstract nature of it's subject matter, this book is a surprisingly breezy and informative read about the history of zero and it's value in the mathematics (and scientific) revolutions of the 1600s and still today. It's part history, part math primer, and part practical guide, with the later chapters focussing on how the zero is used in physics and astronomy.

Seiff has an engaging style and he doesn't talk down or talk above the reader. Although Seiff obviously is an expert in difficult math, he doesn't overwhelm you with equations or get too abstract. Even sections on trig and calculus are written in everyday language that you can easily follow. The book does begin to trail off at Chapter 7-8, from here much of the book seems like filler. I preferred "The Nothing That Is" (also about the zero number) a little because I was more interested in the history and that book covers it more, but Seiff still does a fine job here with history of zero, and his book is probably more useful for students trying to know how to use the zero and it's concepts for their math classes, especially figuring out the limit and other calculations.

Jumbled mess of ideas *
This is a mildly interesting and entertaining book about history of zero that unfortunately tries to be too cute with its style and to pull in so many unrelated ideas, it loses focus as you turn the pages. When "Zero" stays on topic it's OK. Seife has a pretty good grounding in most of the history, and it was facsinating to read about how the number was used for such simple purpose for Babylonians but became so important for abstract number systems later. Middle section of the book deals with zero in calculus, useful for any student toughing it out thru intro calc. But Seife gets too drawn in to all the goofy philosophical wanderings you can make about zero, he goes off on way too many tangents that don't make sense. Yes, you can't divide 1 by 0 and the number has a special role in most operations, but how do these properties threaten to bring down the whole framework of math (to paraphrase)? There's all kinds of talk about how zero and infinity are just two sides of the same coin-- why? The author tries to sound like a sage but doesn't make much sense with the claims on these pages. Whole thing comes apart in the last couple of chapters on physics, cosmology, and applied math which are slim on facts and chock-full of flowery language about how important zero is but where the author really doesn't back his claims. In fact, as the book goes on it seems to make less sense, as though it doesn't quite know what it's supposed to be saying as it moves farther afield from history and calculus. Why are these later chapters even here? They don't add anything and detract from the book's overall value.

Jumbled mess of ideas *

This is a mildly interesting and entertaining book about history of zero that unfortunately tries to be too cute with its style and to pull in so many unrelated ideas, it loses focus as you turn the pages. When "Zero" stays on topic it's OK. Seife has a pretty good grounding in most of the history, and it was facsinating to read about how the number was used for such simple purpose for Babylonians but became so important for abstract number systems later.

Middle section of the book deals with zero in calculus, useful for any student toughing it out thru intro calc. But Seife gets too drawn in to all the goofy philosophical wanderings you can make about zero, he goes off on way too many tangents that don't make sense. Yes, you can't divide 1 by 0 and the number has a special role in most operations, but how do these properties threaten to bring down the whole framework of math (to paraphrase)? There's all kinds of talk about how zero and infinity are just two sides of the same coin-- why? The author tries to sound like a sage but doesn't make much sense with the claims on these pages.

Whole thing comes apart in the last couple of chapters on physics, cosmology, and applied math which are slim on facts and chock-full of flowery language about how important zero is but where the author really doesn't back his claims. In fact, as the book goes on it seems to make less sense, as though it doesn't quite know what it's supposed to be saying as it moves farther afield from history and calculus. Why are these later chapters even here? They don't add anything and detract from the book's overall value.