《HYDRODYNAMICS AND VECTOR FIELD THEORY：EXAMPLES IN ELEMENTARY METHODS》求取 ⇩

CHAPTER 1VECTOR THEORY1

1．1．Notation and basic definitions1

1．2．Relations between vector field functions2

1．3．Integral theorems2

PROBLEMS FOR SOLUTION21

CHAPTER 2PHYSICAL FIELDS24

Section2．124

2．1．1．Potential theory．Uniqueness theorems24

2．1．2．Table of basic formulae25

2．1．3．Electrostatic results26

2．1．4．Magnetic results27

2．1．5．Current results27

PROBLEMS FOR SOLUTION65

CHAPTER 3HYDRODYNAMICS72

3．1．Basic equations72

3．2．Irrotational motion73

3．3．Impulsive motion73

3．4．Kinetic energy73

3．5．Dynamical principles73

PROBLEMS FOR SOLUTION87

CHAPTER 4ELECTRIC CURRENTS IN NETWORKS89

4．1．Basic results89

4．2．Electromagnetic induction89

4．3．Alternating currents90

PROBLKMS FOR SOLUTION109

CHAPTER 5ELECTROMAGNETISM112

5．1．The magnetic field due to a current112

5．2．Volume currents,vector potential112

5．3．Force on circuit in magnetic field114

5．4．Coefficients of mutual and self-inductance114

5．5．Magnetic vector potential115

5．6．Maxwell＇s equations115

5．7．Electromagnetic waves116

5．8．Scalar and vector potentials in Maxwell＇s equations118

PROBLEMS FOR SOLUTION154

CHAPTER 6WATER WAVES159

6．1．Basic assumptions159

6．2．Surface waves160

6．3．Long or tidal waves162

6．4．Characteristics of wave motion in one direction163

PROBLEMS FOR SOLUTION180

CHAPTER 7VISCOUS FLOW183

7．1．Basic equations,Navier Stokes equations183

7．2．Dynamical similarity,Reynolds＇ number186

7．3．Approximate solutions186

PROBLEMS FOR SOLUTION210