- 作 者：Frank Ayres Jr. Elliott Mendelson
- 出 版 社：北京：高等教育出版社
- 出版年份：2000
- ISBN：7040087545
- 标注页数：578 页
- PDF页数：592 页
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CHAPTER1 LINEAR COORDINATE SYSTEMS.ABSOLUTE VALUE.INEQUALITIES 1
CHAPTER2 RECTANGULAR COORDINATE SYSTEMS 9
CHAPTER3 LINES 18
CHAPTER4 CIRCLES 30
CHAPTER5 EQUATIONS AND THEIR GRAPHS 39
CHAPTER6 FUNCTIONS 53
CHAPTER7 LIMITS 61
CHAPTER8 CONTINUITY 71
CHAPTER9 THE DERIVATIVE 79
CHAPTER10 RULES FOR DIFFERENTIATING FUNCTIONS 86
CHAPTER11 IMPLICIT DIFFERENTIATION 98
CHAPTER12 TANGENT AND NORMAL LINES 102
CHAPTER13 LAW OF THE MEAN.INCREASING AND DECREASING FUNCTIONS 108
CHAPTER14 MAXIMUM AND MINIMUM VALUES 115
CHAPTER15 CURVE SKETCHING.CONCAVITY.SYMMETRY 129
CHAPTER16 REVIEW OF TRIGONOMETRY 141
CHAPTER17 DIFFERNTIATION OF TRIGONOMETRIC FUNCTIONS 152
CHAPTER18 INVERSE TRIGONOMETRIC FUNCTIONS 166
CHAPTER19 RECTILINEAR AND CIRCULAR MOTION 175
CHAPTER20 RELATED RATES 182
CHAPTER21 DIFFERENTIALS.NEWTON S METHOD 188
CHAPTER22 ANTIDERIVATIVES 196
CHAPTER23 THE DEFINITE INTEGRAL.AREA UNDER A CURVE 206
CHAPTER24 THE FUNDAMENTAL THEOREM OF CALCULUS 216
CHAPTER25 THE NATURAL LOGARITHM 225
CHAPTER26 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 234
CHAPTER27 L HOPITAL S RULE 243
CHAPTER28 EXPONENTIAL GROWTH AND DECAY 252
CHAPTER29 APPLICATIONS OF INTEGRATION I：AREA AND ARC LENGTH 257
CHAPTER30 APPLICATIONS OF INTEGRATION II:VOLUME 266
CHAPTER31 TECHNIQUES OF INTEGRATION I:INTEGRATION BY PARTS 281
CHAPTER32 TECHNIQUES OF INTEGRATION II：TRIGONOMETRIC INTEGRANDS AND TRIGONOMETRIC SUBSTITUTIONS 289
CHAPTER33 TECHNIQUES OF INTEGRATION III:INTEGRATION BY PARTIAL FRACTIONS 304
CHAPTER34 MISCELLANEOUS SUBSTITUTIONS 314
CHAPTER35 IMPROPER INTEGRALS 320
CHAPTER36 APPLICATIONS OF INTEGRATION II:APEA OF A SURFACE OF REVOLUTION 329
CHAPTER37 PARAMETRIC REPRESENTATION OF CURVES 336
CHAPTER38 CURVATURE 342
CHAPTER39 PLANE VECTORS 351
CHAPTER40 CURVILINEAR MOTION 363
CHAPTER41 POLAR COORDINATES 370
CHAPTER42 INFINITE SEQUENCES 385
CHAPTER43 INFINITE SERIES 394
CHAPTER44 SERIES WITH POSITIVE TERMS.THE INTEGRAL TEST.COMPARISON TESTS 400
CHAPTER45 ALTERNATING SERIES.ABSOLUTE AND CONDITIONAL CONVERGENCE.THE RATIO TEST 410
CHAPTER46 POWER SERIES 419
CHAPTER47 TAYLOR AND MACLAURIN SERIES.TAYLOR S FORMULA WITH REMAINDER 432
CHAPTER48 PARTIAL DERIVATIVES 442
CHAPTER49 TOTAL DIFFEREANTIAL.DIFFERENTIABILITY.CHAINRULES 452
CHAPTER50 SPACE VECTORS 464
CHAPTER51 SURFACE AND CURVES IN SPACE 478
CHAPTER52 DIRECIONAL DERIVATIVES.MAXIMUM AND MINIMUM VALUES 490
CHAPTER53 VECTOR DIFFERENTIATION AND INTEGRATION 498
CHAPTER54 DOUBLE AND ITERATED INTEGRALS 511
CHAPTER55 CENTROIDS AND MOMENTS OF INERTIA OF PLANE AREAS 520
CHAPTER56 DOUBLE INTEGRATION APPLIED TO VOLUME UNDER A SURFACE AND THE AREA OF A CURVED SURFACE 530
CHAPTER57 TRIPLE INTEGRALS 539
CHAPTER58 MASSES OF VARIABLE DENSITY 552
CHAPTER59 DIFFERNTIAL EQUATIONS OF FIRST AND SECOND ORDER 559
INDEX 573