CalculusAnnotation 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. |
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 |
554 | |
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Common terms and phrases
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