Calculus: Concepts and Methods

Front Cover
Cambridge University Press, 2001 - Business & Economics - 554 pages
This second edition of a text for a course on calculus of functions of several variables begins with basics of matrices and vectors and a chapter recalling the important points of the theory in one dimension. It then introduces partial derivatives via functions of two variables and then extends the discussion to more than two variables. This pattern is repeated throughout the book, with two variables being used as a springboard for the more general case. The book distinguishes itself from the competition with its introduction of elementary difference equations, including the use of the difference operator, as well as differential equations and complex numbers. It overcomes the difficulty of visualizing curves and surfaces from equations with the use of many computer graphics in full color, and it contains more than 250 exercises. With applications to economics and an emphasis on practical problem-solving in the sciences rather than the proof of formal theorems, this text should provide excellent motivation to students.
 

Contents

III
1
V
11
VI
14
VII
20
VIII
21
IX
24
X
27
XI
35
CVII
268
CVIII
275
CIX
277
CX
281
CXII
282
CXIII
287
CXIV
289
CXV
290

XII
38
XIII
40
XIV
43
XV
45
XVII
46
XIX
47
XX
48
XXI
49
XXII
51
XXV
52
XXVII
53
XXIX
55
XXX
57
XXXI
59
XXXII
60
XXXIII
61
XXXIV
63
XXXV
64
XXXVI
65
XXXVII
69
XXXVIII
71
XXXIX
72
XL
76
XLI
80
XLII
87
XLIII
88
XLIV
89
XLV
92
XLVI
96
XLVII
98
XLVIII
100
L
106
LI
110
LII
111
LIII
114
LIV
115
LV
120
LVII
122
LIX
125
LXI
128
LXII
130
LXIII
132
LXIV
135
LXV
139
LXVI
143
LXVIII
145
LXIX
149
LXX
153
LXXI
155
LXXII
162
LXXIII
163
LXXIV
168
LXXV
170
LXXVI
174
LXXVII
179
LXXVIII
185
LXXIX
188
LXXX
193
LXXXI
200
LXXXII
203
LXXXIII
208
LXXXIV
210
LXXXV
217
LXXXVI
219
LXXXVII
220
LXXXVIII
223
LXXXIX
224
XC
227
XCI
229
XCII
231
XCIII
233
XCIV
235
XCV
237
XCVI
238
XCVII
241
XCVIII
247
C
254
CI
256
CII
259
CIII
263
CIV
265
CVI
266
CXVI
292
CXVII
295
CXIX
297
CXX
298
CXXI
300
CXXII
302
CXXIII
304
CXXIV
308
CXXV
309
CXXVI
311
CXXVII
313
CXXVIII
316
CXXIX
320
CXXX
323
CXXXI
325
CXXXII
326
CXXXIII
328
CXXXV
329
CXXXVI
330
CXXXVII
331
CXXXVIII
333
CXXXIX
334
CXL
335
CXLI
336
CXLII
339
CXLIII
341
CXLV
345
CXLVI
347
CXLVII
353
CXLVIII
360
CXLIX
361
CL
363
CLI
366
CLIII
367
CLIV
368
CLV
369
CLVI
370
CLVII
373
CLIX
374
CLX
375
CLXII
382
CLXIII
384
CLXIV
387
CLXV
389
CLXVI
392
CLXVII
393
CLXVIII
395
CLXIX
397
CLXX
399
CLXXI
405
CLXXIII
406
CLXXIV
407
CLXXV
409
CLXXVI
410
CLXXVII
412
CLXXVIII
414
CLXXIX
416
CLXXX
417
CLXXXII
419
CLXXXIII
421
CLXXXV
423
CLXXXVI
425
CLXXXVII
426
CLXXXVIII
429
CLXXXIX
431
CXC
434
CXCI
435
CXCII
441
CXCIII
444
CXCIV
447
CXCV
453
CXCVI
454
CXCVII
458
CXCVIII
461
CXCIX
462
CC
467
CCI
471
CCII
547
CCIII
548
CCIV
554
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