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.
 

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User Review  - amarcobio - LibraryThing

Very good introduction to calculus and differential equations. Figures are just brilliant! Read full review

Contents

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

XII
38
XIII
40
XIV
43
XV
45
XVI
46
XVIII
47
XIX
48
XX
49
XXI
51
XXIV
52
XXVI
53
XXVIII
55
XXIX
57
XXX
59
XXXI
60
XXXII
61
XXXIII
63
XXXIV
64
XXXV
65
XXXVI
69
XXXVII
71
XXXVIII
72
XXXIX
76
XL
80
XLI
87
XLII
88
XLIII
89
XLIV
92
XLV
96
XLVI
98
XLVII
100
XLIX
106
L
110
LI
111
LII
114
LIII
115
LIV
120
LVI
122
LVIII
125
LX
128
LXI
130
LXII
132
LXIII
135
LXIV
139
LXV
143
LXVII
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LXVIII
149
LXIX
153
LXX
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LXXI
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LXXII
163
LXXIII
168
LXXIV
170
LXXV
174
LXXVI
179
LXXVII
185
LXXVIII
188
LXXIX
193
LXXX
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LXXXI
203
LXXXII
208
LXXXIII
210
LXXXIV
217
LXXXV
219
LXXXVI
220
LXXXVII
223
LXXXVIII
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LXXXIX
227
XC
229
XCI
231
XCII
233
XCIII
235
XCIV
237
XCV
238
XCVI
241
XCVII
247
XCVIII
254
XCIX
256
C
259
CI
263
CII
265
CIV
266
CXIV
292
CXV
295
CXVII
297
CXVIII
298
CXIX
300
CXX
302
CXXI
304
CXXII
308
CXXIII
309
CXXIV
311
CXXV
313
CXXVI
316
CXXVII
320
CXXVIII
323
CXXIX
325
CXXX
326
CXXXI
328
CXXXII
329
CXXXIII
330
CXXXIV
331
CXXXV
333
CXXXVI
334
CXXXVII
335
CXXXVIII
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CXXXIX
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CXL
341
CXLII
345
CXLIII
347
CXLIV
353
CXLV
360
CXLVI
361
CXLVII
363
CXLVIII
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CL
367
CLI
368
CLII
369
CLIII
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CLIV
373
CLVI
374
CLVII
375
CLIX
382
CLX
384
CLXI
387
CLXII
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CLXIII
392
CLXIV
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CLXV
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CLXVI
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CLXVII
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CLXVIII
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CLXX
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CLXXI
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CLXXII
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CLXXIII
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CLXXIV
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CLXXV
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CLXXVI
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CLXXVII
417
CLXXVIII
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CLXXIX
421
CLXXXI
423
CLXXXII
425
CLXXXIII
426
CLXXXIV
429
CLXXXV
431
CLXXXVI
434
CLXXXVII
435
CLXXXVIII
441
CLXXXIX
444
CXC
447
CXCI
453
CXCII
454
CXCIII
458
CXCIV
461
CXCV
462
CXCVI
467
CXCVII
471
CXCVIII
549
CXCIX
550
CC
556
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