A tour of the calculus (Book, 1997) [WorldCat.org]
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A tour of the calculus
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A tour of the calculus

Author: David Berlinski
Publisher: New York : Vintage Books, 1997, ©1995.
Edition/Format:   Print book : English : 1st Vintage pbk. edView all editions and formats
Summary:
"The calculus represents humanity's great and profound meditation on the theme of continuity. Time and space are given voice, and speed and area are sub-ordinated to the harsh concept of a limit. The introduction of the real numbers allows the landscape of mathematical analysis to be suffused with thrilling light. In that lit-up landscape, the infinite is for the first time charmed into compliance, men and women  Read more...
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Details

Genre/Form: Popular works
Ouvrages de vulgarisation
Document Type: Book
All Authors / Contributors: David Berlinski
ISBN: 0679747885 9780679747888 0676520413 9780676520415
OCLC Number: 36390508
Notes: Includes index.
Description: xvii, 331 pages : illustrations ; 21 cm
Contents: Masters of the symbols --
Symbols of the masters --
The black blossoms of geometry --
Cartesian coordinates --
The unbearable smoothness of motion --
Yo --
Thirteen ways of looking at a line --
The doctor of discovery --
Real world rising --
Forever familiar, forever unknown --
Some famous functions --
Speed of sorts --
Speed, strange speed --
Paris days --
Prague interlude --
Memory of motion --
The dimpled sholder --
Wrong way Rolle --
The mean value of theorem --
The song of Igor --
Area --
Those legos vanish --
The intergral wishes to compute an area --
The intergral wishes to become a function --
A farewell to continuity --
Epilogue.
Responsibility: David Berlinski.

Abstract:

"The calculus represents humanity's great and profound meditation on the theme of continuity. Time and space are given voice, and speed and area are sub-ordinated to the harsh concept of a limit. The introduction of the real numbers allows the landscape of mathematical analysis to be suffused with thrilling light. In that lit-up landscape, the infinite is for the first time charmed into compliance, men and women gaining the eerie power to ask of certain processes, Suppose it goes on forever, what then? and finding within the calculus a comprehensive answer." "In clear and instructive language David Berlinski explains the concept of limits, how a function describes a relationship between numbers, and the meaning of the real numbers and their role in the re-creation of the world. Hidden for centuries from human insight, an array of mathematical operations and processes become visible." "Berlinski's great achievement is that he not only breathes life into the principles of the calculus but reveals as well processes that occur in the real world. And moving beyond the basics, Berlinski shows us in dramatic and original ways that the calculus is more than a mere system of mathematics. It is also an instrument commensurate at last with humanity's limitless capacity to regard the universe with wonder."--Jacket.

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