Presents a collection of papers, discussing ideas and problems regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. This book attempts to survey the development of various formulations for gravitational and Yang-Mills fields and spacetime transformations of accelerated frames.

These unfulfilled aspects of Einstein and Yang-Mills' profound thoughts present a great challenge to physicists and mathematicians in the 21st century.

# The Dawn of Gravitation:
# The Mathematical Principles of Natural Philosophy (I Newton)
# On the Dynamics of the Electron (H Poincare)
# Einstein's Deepest Insight and Its Early Impacts:
# Outline of a Generalized Theory of Relativity and of a Theory of Gravitation (A Einstein &
M Grossmann)
# The Foundation of the General Theory of Relativity (A Einstein)
# On a Generalization of the Concept of Riemann Curvature and Spaces with Torsion (E Cartan)
# The Scalar-Tensor Theory of Gravity:
# Formation of the Stars and Development of the Universe (P Jordan)
# Yang-Mills' Deepest Insight and Its Relation to Gravity:
# Conservation of Isotopic Spin and Isotopic Gauge Invariance (C N Yang &
R L Mills)
# Conservation of Heavy Particles and Generalized Gauge Transformations (T D Lee &
C N Yang)
# Invariant Theoretical Interpretation of Interaction (R Utiyama)
# Accelerated Frames: Generalizing the Lorentz Transformations:
# On Homogeneous Gravitational Fields in the General Theory of Relativity and the Clock Paradox (C Moller)
# The Clock Paradox in the Relativity Theory (T Y Wu &
Y C Lee)
# Four-dimensional Symmetry of Taiji Relativity and Coordinate Transformations Based on a Weaker Postulate for the Speed of Light (J P Hsu &
L Hsu)
# Quantum Gravity and 'Ghosts':
# Quantum Theory of Gravitation (R P Feynman)
# Quantum Theory of Gravity, III Applications of the Covariant Theory (B S DeWitt)
# Feynman Diagram for the Yang-Mills Field (L D Faddeev &
V N Popov)
# Missed Opportunities (F J Dyson)
# Gauge Theories of Gravity:
# Extended Translation Invariance and Associated Gauge Fields (K Hayashi &
T Nakano)
# Gravitational Field as a Generalized Gauge Field (R Utiyama &
T Fukuyama)
# Alternate Approaches to Gravity: Roads Less Traveled By:
# Fixation of Coordinates in the Hamiltonian Theory of Gravitation (P A M Dirac)
# New General Relativity (K Hayashi &
T Shirafuji)
# Relativistic Theory of Gravitation (A A Logunov &
M A Mestvirishvili)
# Yang-Mills Gravity: A Union of Einstein-Grossmann Metric with Yang-Mills Tensor Fields in Flat Spacetime with Translation Symmetry (J P Hsu)
# Experimental Tests of Gravitational Theories:
# Empirical Foundations of the Relativistic Gravity (W T Ni)
# Binary Pulsars and Relativistic Gravity (J H Taylor, Jr.)
# Other Perspectives:
# Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields (T T Wu &
C N Yang)
# Gauge Theory: Historical Origins and Some Recent Developments (L O'Raifeartaigh &
N Straumann)
# The Cosmological Constant and Dark Energy (P J E Peebles &
B Ratra)
# and other papers