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PART Ⅰ．GENERAL CONSIDERATIONS 1

Ⅰ．THE HISTORICAL BACKGROUND OF THE SCIENTIFIC METHOD 3

Ⅱ．ASSUMPTIONS IN SCIENCE 14

Ⅲ．THE SIGNIFICANCE OF THEORETICAL PHYSICS 28

Ⅳ．Two KINDS OF SIMPLICITY 32

Ⅴ．SUCCESSIVE THEORIES OF MATHEMATICAL PHYSICS ARE PROGRESSIVE APPROXIMATIONS 36

Ⅵ．CONCEPTUAL CHANGES IN PHYSICAL THEORIES 42

Ⅶ．CAUSALITY 45

Ⅷ．CONSERVATION 58

Ⅸ．MECHANISTIC THEORIES 61

Ⅹ．FIELD THEORIES 71

Ⅺ．PHENOMENOLOGICAL THEORIES 88

Ⅻ．A RETROSPECT ON THE DIFFERENT KINDS OF THEORIES 101

ⅩⅢ．PSYCHOLOGICAL DIFFERENCES AMONG PHYSICISTS 106

PART Ⅱ．PHYSICAL THEORIES OF THE CLASSICAL PERIOD 115

ⅩⅣ．MATHEMATICAL PRELIMINARIES (Functions and Groups) 117

ⅩⅤ．MATHEMATICAL PRELIMINARIES (Continued) (Differ ential Equations) 166

ⅩⅥ．THE CONTROVERSIES ON THE NATURE OF MATHEMATICS 186

ⅩⅦ．ANALYTICAL MECHANICS (Hamilton＇s Equations,Three-Body Problem,Figures of Equilibrium for Fluids in Rotation) 214

ⅩⅧ．MINIMAL PRINCIPLES AND PRINCIPLES OF ACTION 256

ⅩⅨ．THE UNDULATORY THEORY OF LIGHT 269

ⅩⅩ．TRANSFORMATIONS,HAMILTON＇S WAVE MECHANICS,CONTINUOUS GROUPS 309

ⅩⅪ．THERMODYNAMICS 331

ⅩⅫ．THE CLASSICAL KINETIC THEORY OF GASES 374