This book examines mathematics and field theory and is motivated by the combinatorial principle, in particular the CC conjecture, which states that every mathematical science can be formed from or made via combinatorialization.

Fundamentals of combinatorics, algebraic combinatorics, topology with Smarandache geometry, combinatorial differential geometry, combinatorial Riemannian submanifolds, Lie multi-groups, combinatorial principal fiber bundles, gravitational field, quantum field, and gauge field with their combinatorial generalization are some of the topics covered in this book. There are also discussions on key issues in epistemology.

The vast majority of geometries, including pseudo-manifold geometries, Finsler geometries, combinatorial Finsler geometries, Riemann geometries, combinatorial Riemannian geometries, Weyl geometries, and Kahler geometries, are special examples of Smarandache geometries.

Researchers and graduate students interested in topological graph theory with enumeration, topology, Smarandache geometry, Riemannian geometry, gravitational or quantum forces, many-body systems, and globally quantified economy will find great value in all of these materials.