Elements of Newtonian Mechanics: Including Nonlinear Dynamics, 3rd edition

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Springer Science & Business Media, Jan 1, 2000 - Science - 447 pages
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In the third edition a number of minor misprints that appeared in the second edition have have been corrected. Furthermore, 17 new problems have been added, at the end of chapters 6, 8, 9, 11, 12, 13, and 14. The answers to these 17 problems have not been listed in the 'Answers' section at the end of the book. This will permit the problems to be used as hand-in problems or perhaps in mid-term exams. JMK 9 PGH Copenhagen May 2000 Preface to the Second Edition In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic.
  

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Contents

I
1
II
5
III
11
IV
12
V
13
VI
14
VII
17
VIII
18
CXIII
224
CXIV
227
CXV
228
CXVI
230
CXVIII
231
CXIX
237
CXXI
238
CXXII
240

IX
19
X
20
XI
21
XII
22
XIII
27
XV
31
XVII
33
XVIII
36
XIX
38
XX
40
XXI
41
XXII
42
XXIII
44
XXIV
48
XXV
51
XXVI
53
XXVII
54
XXVIII
56
XXIX
57
XXX
59
XXXI
61
XXXII
62
XXXIII
73
XXXV
74
XXXVI
75
XXXVII
76
XXXVIII
78
XXXIX
79
XL
80
XLII
83
XLIII
84
XLIV
90
XLV
91
XLVI
93
XLVII
95
XLIX
97
L
99
LI
101
LII
108
LIII
111
LIV
114
LV
115
LVI
116
LVII
117
LIX
118
LX
121
LXI
126
LXII
128
LXIII
133
LXIV
134
LXV
135
LXVI
137
LXVIII
142
LXIX
145
LXX
146
LXXI
153
LXXIII
155
LXXIV
157
LXXVI
159
LXXVIII
162
LXXIX
163
LXXX
167
LXXXII
169
LXXXIII
170
LXXXIV
171
LXXXV
174
LXXXVI
175
LXXXVIII
176
XC
179
XCI
181
XCII
182
XCIII
183
XCV
184
XCVI
188
XCVII
189
XCVIII
193
C
197
CI
199
CII
202
CIII
204
CIV
207
CV
209
CVI
212
CVIII
213
CIX
219
CXI
221
CXII
223
CXXIII
242
CXXIV
243
CXXV
244
CXXVI
245
CXXVII
246
CXXVIII
247
CXXIX
248
CXXX
249
CXXXI
250
CXXXII
253
CXXXIII
254
CXXXIV
256
CXXXV
258
CXXXVI
260
CXXXVII
262
CXXXVIII
263
CXXXIX
266
CXL
267
CXLI
268
CXLII
279
CXLIV
280
CXLVI
284
CXLVII
286
CXLVIII
287
CXLIX
289
CL
295
CLI
297
CLII
299
CLIII
300
CLIV
331
CLV
332
CLVI
334
CLVII
335
CLVIII
340
CLIX
341
CLX
342
CLXI
345
CLXIII
346
CLXIV
347
CLXV
349
CLXVI
351
CLXVII
352
CLXVIII
355
CLXIX
359
CLXX
364
CLXXI
366
CLXXII
367
CLXXIII
370
CLXXV
372
CLXXVI
373
CLXXVIII
374
CLXXIX
376
CLXXX
377
CLXXXI
378
CLXXXII
381
CLXXXIII
385
CLXXXIV
389
CLXXXV
390
CLXXXVI
392
CLXXXVII
393
CLXXXVIII
394
CXC
395
CXCI
396
CXCII
398
CXCIII
400
CXCIV
402
CXCV
403
CXCVI
405
CXCVII
406
CXCVIII
408
CXCIX
411
CC
412
CCI
413
CCII
414
CCIII
415
CCIV
416
CCV
421
CCVI
424
CCVII
427
CCVIII
429
CCIX
431
CCX
433
CCXI
435
CCXII
439
CCXIII
441
CCXIV
449
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