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微积分 英文2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

微积分 英文
  • Frank Ayres Jr. Elliott Mendelson 著
  • 出版社： 北京：高等教育出版社
  • ISBN：7040087545
  • 出版时间：2000
  • 标注页数：578页
  • 文件大小：43MB
  • 文件页数：592页
  • 主题词：

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图书目录

CHAPTER1 LINEAR COORDINATE SYSTEMS.ABSOLUTE VALUE.INEQUALITIES1

CHAPTER2 RECTANGULAR COORDINATE SYSTEMS9

CHAPTER3 LINES18

CHAPTER4 CIRCLES30

CHAPTER5 EQUATIONS AND THEIR GRAPHS39

CHAPTER6 FUNCTIONS53

CHAPTER7 LIMITS61

CHAPTER8 CONTINUITY71

CHAPTER9 THE DERIVATIVE79

CHAPTER10 RULES FOR DIFFERENTIATING FUNCTIONS86

CHAPTER11 IMPLICIT DIFFERENTIATION98

CHAPTER12 TANGENT AND NORMAL LINES102

CHAPTER13 LAW OF THE MEAN.INCREASING AND DECREASING FUNCTIONS108

CHAPTER14 MAXIMUM AND MINIMUM VALUES115

CHAPTER15 CURVE SKETCHING.CONCAVITY.SYMMETRY129

CHAPTER16 REVIEW OF TRIGONOMETRY141

CHAPTER17 DIFFERNTIATION OF TRIGONOMETRIC FUNCTIONS152

CHAPTER18 INVERSE TRIGONOMETRIC FUNCTIONS166

CHAPTER19 RECTILINEAR AND CIRCULAR MOTION175

CHAPTER20 RELATED RATES182

CHAPTER21 DIFFERENTIALS.NEWTON S METHOD188

CHAPTER22 ANTIDERIVATIVES196

CHAPTER23 THE DEFINITE INTEGRAL.AREA UNDER A CURVE206

CHAPTER24 THE FUNDAMENTAL THEOREM OF CALCULUS216

CHAPTER25 THE NATURAL LOGARITHM225

CHAPTER26 EXPONENTIAL AND LOGARITHMIC FUNCTIONS234

CHAPTER27 L HOPITAL S RULE243

CHAPTER28 EXPONENTIAL GROWTH AND DECAY252

CHAPTER29 APPLICATIONS OF INTEGRATION I：AREA AND ARC LENGTH257

CHAPTER30 APPLICATIONS OF INTEGRATION II:VOLUME266

CHAPTER31 TECHNIQUES OF INTEGRATION I:INTEGRATION BY PARTS281

CHAPTER32 TECHNIQUES OF INTEGRATION II：TRIGONOMETRIC INTEGRANDS AND TRIGONOMETRIC SUBSTITUTIONS289

CHAPTER33 TECHNIQUES OF INTEGRATION III:INTEGRATION BY PARTIAL FRACTIONS304

CHAPTER34 MISCELLANEOUS SUBSTITUTIONS314

CHAPTER35 IMPROPER INTEGRALS320

CHAPTER36 APPLICATIONS OF INTEGRATION II:APEA OF A SURFACE OF REVOLUTION329

CHAPTER37 PARAMETRIC REPRESENTATION OF CURVES336

CHAPTER38 CURVATURE342

CHAPTER39 PLANE VECTORS351

CHAPTER40 CURVILINEAR MOTION363

CHAPTER41 POLAR COORDINATES370

CHAPTER42 INFINITE SEQUENCES385

CHAPTER43 INFINITE SERIES394

CHAPTER44 SERIES WITH POSITIVE TERMS.THE INTEGRAL TEST.COMPARISON TESTS400

CHAPTER45 ALTERNATING SERIES.ABSOLUTE AND CONDITIONAL CONVERGENCE.THE RATIO TEST410

CHAPTER46 POWER SERIES419

CHAPTER47 TAYLOR AND MACLAURIN SERIES.TAYLOR S FORMULA WITH REMAINDER432

CHAPTER48 PARTIAL DERIVATIVES442

CHAPTER49 TOTAL DIFFEREANTIAL.DIFFERENTIABILITY.CHAINRULES452

CHAPTER50 SPACE VECTORS464

CHAPTER51 SURFACE AND CURVES IN SPACE478

CHAPTER52 DIRECIONAL DERIVATIVES.MAXIMUM AND MINIMUM VALUES490

CHAPTER53 VECTOR DIFFERENTIATION AND INTEGRATION498

CHAPTER54 DOUBLE AND ITERATED INTEGRALS511

CHAPTER55 CENTROIDS AND MOMENTS OF INERTIA OF PLANE AREAS520

CHAPTER56 DOUBLE INTEGRATION APPLIED TO VOLUME UNDER A SURFACE AND THE AREA OF A CURVED SURFACE530

CHAPTER57 TRIPLE INTEGRALS539

CHAPTER58 MASSES OF VARIABLE DENSITY552

CHAPTER59 DIFFERNTIAL EQUATIONS OF FIRST AND SECOND ORDER559

INDEX573

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