Calculus: Concepts and Methods

Front Cover
Cambridge University Press, 2001 - Business & Economics - 554 pages
2 Reviews
The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.
 

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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
145
LXVIII
149
LXIX
153
LXX
155
LXXI
162
LXXII
163
LXXIII
168
LXXIV
170
LXXV
174
LXXVI
179
LXXVII
185
LXXVIII
188
LXXIX
193
LXXX
200
LXXXI
203
LXXXII
208
LXXXIII
210
LXXXIV
217
LXXXV
219
LXXXVI
220
LXXXVII
223
LXXXVIII
224
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
336
CXXXIX
339
CXL
341
CXLII
345
CXLIII
347
CXLIV
353
CXLV
360
CXLVI
361
CXLVII
363
CXLVIII
366
CL
367
CLI
368
CLII
369
CLIII
370
CLIV
373
CLVI
374
CLVII
375
CLIX
382
CLX
384
CLXI
387
CLXII
389
CLXIII
392
CLXIV
393
CLXV
395
CLXVI
397
CLXVII
399
CLXVIII
405
CLXX
406
CLXXI
407
CLXXII
409
CLXXIII
410
CLXXIV
412
CLXXV
414
CLXXVI
416
CLXXVII
417
CLXXVIII
419
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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