A Course in Mathematics for Students of Physics:

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Cambridge University Press, Aug 30, 1991 - Mathematics - 424 pages
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This text breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Aimed at physics students, it covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The exterior differential calculus is now being recognized by mathematicians and physicists as the best method of formulating the geometrical laws of physics, and the frontiers of physics have already begun to reopen fundamental questions about the geometry of space and time. Covering the basics of differential and integral calculus, the authors then apply the theory to interesting problems in optics, electronics (networks), electrostatics, wave dynamics, and finally to classical thermodynamics. The authors adopt the "spiral method" of teaching (rather than rectilinear), covering the same topic several times at increasing levels of sophistication and range of application.
  

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Contents

II
1
III
7
IV
13
V
16
VI
18
VII
21
VIII
22
IX
24
LIII
219
LV
222
LVI
230
LVII
240
LVIII
242
LIX
247
LX
250
LXI
264

X
26
XI
32
XII
36
XIII
39
XIV
43
XV
45
XVI
46
XVII
55
XIX
58
XX
66
XXI
72
XXII
73
XXIII
81
XXV
83
XXVI
89
XXVII
95
XXVIII
103
XXIX
113
XXXI
120
XXXIII
124
XXXIV
131
XXXV
137
XXXVI
141
XXXVII
148
XXXVIII
157
XXXIX
160
XL
166
XLI
167
XLII
168
XLIII
175
XLV
178
XLVI
183
XLVII
189
XLVIII
197
XLIX
205
L
209
LI
214
LII
215
LXII
266
LXIII
267
LXIV
272
LXV
277
LXVI
278
LXVII
285
LXVIII
289
LXIX
295
LXX
297
LXXI
305
LXXII
306
LXXIII
311
LXXV
315
LXXVI
324
LXXVII
326
LXXVIII
328
LXXIX
335
LXXXI
340
LXXXII
341
LXXXIII
342
LXXXIV
343
LXXXV
345
LXXXVI
350
LXXXVII
352
LXXXVIII
358
LXXXIX
360
XC
368
XCI
374
XCII
377
XCIII
378
XCIV
388
XCV
389
XCVI
396
XCVII
397
XCVIII
399
XCIX
401
C
404
Copyright

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About the author (1991)

Sternberg is George Putnam Professor of Pure and Applied Mathematics, Harvard University and Permanent Sackler Fellow University of Tel Aviv.

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