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A Tour of the Calculus [Paperback]

David Berlinski
3.0 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

Feb 1997
Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe.



"An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review


Product details

  • Paperback: 352 pages
  • Publisher: Vintage Books USA; Reprint edition (Feb 1997)
  • Language: English
  • ISBN-10: 0679747885
  • ISBN-13: 978-0679747888
  • Product Dimensions: 13 x 1.8 x 20.2 cm
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Bestsellers Rank: 1,157,026 in Books (See Top 100 in Books)

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Customer Reviews

3.0 out of 5 stars
3.0 out of 5 stars
Most Helpful Customer Reviews
7 of 8 people found the following review helpful
By A Customer
Format:Paperback
Berlinski has clearly decided that he wants to avoid the stereotypical mathematical tradition that has texts be as terse as possible. He has erred too far in the other direction. Good science writing doesn't need to imagine Leibniz groping serving maids. It doesn't need to invent overly elaborate language and metaphors.

At least the technical stuff is basically good. I liked his description of what continuous-ness is all about, and the (presumably fictionalised) accounts of teaching the material to small classes are quite entertaining.

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2 of 4 people found the following review helpful
4.0 out of 5 stars some good points but too many stories. 7 Aug 1999
By A Customer
Format:Hardcover
This book goes well into the mental rigour of the calculus and hence shows the thorough underlieing logic and mental disciplin of its developement and useage. However, the author can occasionally be overelaborate in his language and story-telling. This sometimes makes the book seem like a novel. However there are some good appendixes containing mathematical proofs which contain more mathematics than linguistic flair. An interesting read for the pre A level student or the first year a level student really.
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3 of 6 people found the following review helpful
2.0 out of 5 stars Little to recommend it 23 July 2007
Format:Paperback
The two stars are for the technical content, which is basically sound. But I can't give any stars for Berlinski's writing style. It's as though he's trying (far too hard) to write a classic novel with some maths in it. The idea of conveying some fairly complex maths by using flowery, descriptive, even evocative language is in principle an interesting one, but the prose is so purple as to make it hard to make out what point he's trying to make, and in many places obscures the meaning completely. If you want to read purple prose, try Tolstoy. If you want to understand calculus, try the Open University. Either way, don't bother with this book.
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