'ALGEBRA' to 'NUMBER THEORY' 'GEOMETRY': Recent Developments in Pure Mathematics at it's Fundamental Level support the AI-era this century

This book entitled 'ALGEBRA' to 'NUMBER THEORY' to 'GEOMETRY' : Re-cent Developments in Pure Mathematics at it's Fundamental Level to support the AI-era in this century deals with the generalization of the following four basic areas of the subject Pure Mathematics: (i) Algebra, (ii) Number Theory, (iii) Calculus, and (iv) Geometry. All these four branches are generalized on the basis of a newly introduced algebraic structure 'Region' as their base-platform. It is justified how Region fixes a very seri-ous hidden gap of the giant subject Algebra. Consequently, it is also justified why Re-gion is most important but minimal algebraic structure in Algebra. The integration of generalizations of these four branches if considered as a single one, may be termed as "Region Mathematics", and thus which may be regarded as a new branch in Pure Mathematics. The sub-title of the book is "a new generation of College level math-ematics for applications in all STEM subjects, AI, Data Science and Modern Sta-tistics"; because it is the beginning of thinking new ways to deal with "objects" of this universe, to deal with unstructured or semi-structured data involved with STEM subjects.