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******************Nothing*Is*As*Powerful*As*The*Written*Word*******************
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INFO
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Title................: Mechanistic Images in Geometric Form
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 2.01 MB
Torrent Hash.........: 6028B2F1DD4F17BB1668B812EBAE9B0784AEBC76
Posted by............: ~tqw~
Trackers:
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CONTENTS
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Synopsis:
Hertz' Die Prinzipien der Mechanik in neuem Zusammanhange dargestellt was published posthumously in 1894, and seems to have been better understood by physicians, mathematicians, and even philosophers at the time than by readers
now. Lützen (mathematics, U. of Copenhagen) shows how it fits naturally into the mechanistic world view of the late 19th century, and analyzes its general architecture as well as its elements. He introduces the history and philosophy of mechanics before Hertz and introduces the person and physicist himself, before proceeding to the content. Then he follows the technical deductions, and pauses every time enough of his technical arguments have been seen to analyze some particular subject.
Table Of Contents:
1 Introduction 1
2 The principles of mechanics before Hertz 8
3 Mechanization of physics 30
4 Problematization of the concept of force 40
5 A biographical survey 50
6 Hertz's road to mechanics 63
7 Images of nature 83
8 Hertz's earlier ideas about images 97
9 Images of mechanics 111
10 Kantianism : a-priori and empirical elements of images 119
11 Time, space and mass 127
12 The line element : the origin of the Massenteilchen 146
13 Hertz's geometry of systems of points 159
14 Vector quantities and their components 173
15 Connections : material systems 187
16 The fundamental law 198
17 Free systems 202
18 Cyclic coordinates 208
19 Unfree systems : forces 219
20 Cyclic and conservative systems 225
21 Integral principles 235
22 A history of non-holonomic constraints 240
23 Hertz on the Hamilton formalism 247
24 Mathematicians on the geometrization of the Hamilton-Jacobi formalism 252
25 Hertz on the domain of applicability of his mechanics 263
26 Force-producing models 274
27 Reception, extension and impact 278
28 List of conclusions 290
Product Details:
* ISBN: 0198567375
* ISBN-13: 9780198567370
* Format: Hardcover, 331pp
* Publisher: Oxford University Press, USA
* Pub. Date: September 2005
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Greetz Fellow UL'ers
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