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Disquisitiones Arithmeticae [Paperback]

Carl Friedrich Gauss
5.0 out of 5 stars  See all reviews (2 customer reviews)
RRP: £27.00
Price: £24.54 & FREE Delivery in the UK. Details
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Book Description

1 Jan 1965
English translation of standard mathematical work on theory of numbers, first published in Latin in 1801. "Among the greatest mathematical treatises of all fields and periods."--Asger Aaboe.

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Product details

  • Paperback: 500 pages
  • Publisher: Yale University Press (1 Jan 1965)
  • Language: English
  • ISBN-10: 0300094736
  • ISBN-13: 978-0300094732
  • Product Dimensions: 20 x 13 x 3 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Bestsellers Rank: 786,577 in Books (See Top 100 in Books)

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5 of 7 people found the following review helpful
5.0 out of 5 stars A revered classic 10 July 2008
Format:Hardcover
Gauss's Disquisitiones is among the most revered classics in all of mathematics. This translation published by Springer makes it available to English speakers. It isn't cheap and I imagine it will be purchased mainly by professional mathematicians, historians of mathematics or academic libraries. Either you want a copy or you don't. I happily forked out the readies for it. What more can one say?

Well, there is a *lot* more one can say. Here the reader will find the original statement of the concepts and notation of arithmetic congruences and the celebrated proof of the law of quadratic reciprocity. Here one finds what is still one of the best accounts of number theory in existence. Despite being two centuries old, this is still a strikingly modern exposition, such was the genius of the author.

Gauss has a reputation for being terse and pithy. Clarke, the translator, deliberately carries what he calls Gauss' "Ciceronian" style into English and rightly so. That said, one has to recall that Gauss often erased all traces of the processes of insight that led him to many of his results. Hence his work is not easy reading even for professional mathematicians. Nevertheless, nobody seriously interested in number theory should go long without reading this work. It is a founding document of contemporary mathematics and anyone calling himself a mathematician has his claim diminished if he has not read it.
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2 of 3 people found the following review helpful
5.0 out of 5 stars The Disquisitiones (Hardcover) 2 Nov 2011
Format:Hardcover
Before reading (i.e. studying) this book, I thought Hardy's and Apostol's books on the theory of numbers were the best... Those are very good indeed but Gauss' treatment is that of a MASTER !

Once you get used to the symbols, the journey is thrilling : you're dealing with a genius, willing to guide you...

Don't throw your money away in buying the paperback edition, buy the hardcover edition where most of the errors have been corrected and which is much better structured and provides ample space for annotations... i.e. allow yourself a gift and enjoy it !
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Amazon.com: 4.5 out of 5 stars  13 reviews
92 of 93 people found the following review helpful
5.0 out of 5 stars Choose your edition carefully 8 Mar 2006
By Graham Saint - Published on Amazon.com
Format:Paperback
This is a great book. It's the place where modern number theory begins. It's also well enough written that it's enjoyable to read today.

There are two editions and you have to choose carefully. I don't know whether my review will appear on both editions or just one. The softcover is only $47. The hardcover is $129, but it is a REVISED translation. A single person, who does not seem to be have been a mathematician, made the first translation from Latin in 1965. That was revised by a team of 4 scholars in 1986.

That turns out to be important, because the original translator got a few things wrong, like the logic of a double negative. So there are some places where the first (cheaper, softcover, Yale) edition is either wrong or unclear. Many of these problems have been fixed in the second (more expensive, hardcover, Springer-Verlag) edition.

I bought the first edition and I have no regrets, but you will get extra value for your extra money if you buy the second edition.
23 of 26 people found the following review helpful
5.0 out of 5 stars understandable to all 8 Mar 2007
By G. Gecewicz - Published on Amazon.com
Format:Paperback|Verified Purchase
What blows my mind about Gauss's Disquisitiones is that it is understandable to people like me who don't have an advanced background in mathematics. You just need to move through it slowly and carefully. There is a certain joy that comes along with making the discoveries that Gauss walks you through. A book that will change your outlook on life by enhancing what you see as the basic philosophy underlying numbers and mathematics. Mathemtical magicians like Euler and Lagrange will just confuse and dazzle you with their tricks, but Gauss will give you understanding.
11 of 11 people found the following review helpful
4.0 out of 5 stars Beautiful book, flawed translation 26 Dec 2008
By Rob - Published on Amazon.com
Format:Paperback
To add to what's been said about translation errors in the softcover edition, a very large portion of the equations in section V have been carried over incorrectly. Gauss' convention of writing indices in superscript instead of subscript seems to have confused the translator to no end, and indices on variables multiplied together were combined like exponents wherever possible. For instance, what was "t_i t_i" (variable t with an index of i, multiplied by itself) in the original Latin was converted to "t_2i" (variable t with an index of 2i). In the worst example, about HALF of the equations in articles 200-201 are incorrect as given. I haven't seen the revised edition, but I would hope this was corrected.

Apart from this, there are plenty of other, scattered typos, but these are for the most part easy to catch and tolerable. The original Latin version is available for free online on the Gottingen University library website, and it may be worthwhile to keep it handy to double check the equations.

As for the book itself, I cannot possibly recommend it highly enough. It was the first serious math book I ever read, and it inspired me to take up math as a profession. While the actual material covered in D.A. may be a bit outdated, it is a great window into the mind of one of the greatest mathematicians in history. It is a masterpiece, and worth the time (and $40) of any serious math student or professional.
20 of 27 people found the following review helpful
5.0 out of 5 stars The best book of all time 28 Aug 1998
By A Customer - Published on Amazon.com
Format:Hardcover
One of the most important books in the history of human thought, and certainly among the top five in the history of mathematics, by the most important mathematician ever. I enjoy reading Gauss' own methods. Especially interesting if you study congruences, cyclotomy, etc.
4 of 5 people found the following review helpful
5.0 out of 5 stars The Disquisitiones (Hardcover) 24 Jun 2011
By André Gargoura - Published on Amazon.com
Format:Hardcover|Verified Purchase
Before reading (i.e. studying) this book, I thought Hardy's and Apostol's books on the theory of numbers were the best... Those are very good indeed but Gauss' treatment is that of a MASTER !

Once you get used to the symbols, the journey is thrilling : you're dealing with a genius, willing to guide you...

Don't throw your money away in buying the paperback edition, buy the hardcover edition where most of the errors have been corrected and which is much better structured and provides ample space for annotations... i.e. allow yourself a gift and enjoy it !
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