This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician.

This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician.

Dark Matter, Neutrinos, and Our Solar System is a unique enterprise that portrays the connection between cosmology, particle and nuclear physics, and atmospheric and terrestrial physics. Constituents of dark matter (classified as hot, warm and cold) are studied in detail with regard to their individual structures (baryonic and non-baryonic, massive and non-massive, interacting and non-interacting) and their detection facilities. Neutrinos (an important component of dark matter) are treated as a separate entity. A detailed study describes these elusive particles researched from the year 1913,...