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Preface

Acknowledgments

Introduction3

Gauge Transformations in Classical Electromagnetism13 / 1：

Gravitation and Electricity24

Aftermath of Einstein's Gravitational Theory38 / 2：

Generalizations of Einstein's Theory44 / 3：

On the Unification Problem of Physics53

Quantum Theory and Five-Dimensional Relativity59

On the Invariant Form of the Wave and Motion Equations for a Charged Point-Mass70

The Renaissance of Weyl's Idea: EM Gauge Theory77 / 4：

On a Remarkable Property of the Quantum-Orbits of a Single Electron87

Quantization as an Eigenvalue Problem91

Quantum-Mechanical Interpretation of Weyl's Theory94

Weyl's Classic, 1929107 / 5：

Electron and Gravitation121

Klein's Serendipity, 1938147 / 6：

On the Theory of Charged Fields152

Pauli's Dimensional Reduction, 1953166 / 7：

Meson-Nucleon Interaction and Differential Geometry171

The Yang-Mills Theory, 1953-54182 / 8：

Isotopic Spin Conservation and a Generalized Gauge Invariance185

Conservation of Isotopic Spin and Isotopic Gauge Invariance186

Shaw's SO(2) Approach, 1954-55197 / 9：

Invariance under General Isotopic Spin Transformations200

Utiyama's General Approach, 1954-55208 / 10：

Invariant Theoretical Interpretation of Interaction213

Conclusion240

References243

Index247

Preface

Acknowledgments

Introduction3

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Preface to Volume II

Non-Abelian gauge theories / 15：

External field methods / 16：

Renormalization of gauge theories / 17：

Renormalization group methods / 18：

Spontaneously broken global symmetries / 19：

Operator product expansions / 20：

Spontaneous breaking of gauge symmetries / 21：

Anomalies / 22：

Topological complications / 23：

Subject index

Author index

Preface to Volume II

Non-Abelian gauge theories / 15：

External field methods / 16：

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