高等数学-复数-李逸.pdf

Calculus

Anintroduction

Author:YiLi

Institute:SchoolofMathematicsandShing-TungYauCenter,SoutheastUniversity

Date:August25,2023

Version:3.1

Ratherless,butbetter.—CarlFriedrichGauss

Acknowledge

Theauthorthanks

JianmingXu(BeijingNormalUniversity),

Contents

1Pre-calculus1

1.1Realnumbers...................................1

1.2Rectangularcoordinatesystem..........................17

1.3Functions.....................................21

1.4Trigonometricfunctions.............................25

1.5Conicsandpolarcoordinates...........................28

2Derivatives41

2.1Limitsandcontinuity...............................41

2.2Derivatives....................................86

2.3Applicationsofthederivatives..........................130

3Integrals