Physical and Mathematical Foundations of the Theory of Relativity

Antonio Romano has been the author or coauthor of numerous books on mechanics and Mathematica, and he has taught courses in mechanics for 35 years at "Il Fredrico" University in Naples.Mario Mango Furnari is a senior researcher at Istituto di cibernetica "Edoardo Caianiello."

• Preface.- Part I: Elements of Differential Geometry.- 1: Tensor Algebra.- 2: Introduction to Differentiable Manifolds.- 3: Transformation Groups, Exterior Differentiation and Integration.- 4: Absolute Differential Calculus.- Part II: Newtonian Dynamics, Gravitation, and Cosmology.- 5: Recalls of Classical Mechanics and Electrodynamics.- 6: Newtonian Gravitation.- Part III: Special Relativity.- 7: Physical Foundations of Special Relativity.- 8: Special Relativity in Minkowski's Space.- 9: Continuous Systems in Special Relativity.- 10: Electrodynamics in Moving Media.- Part IV: General Relativity and Cosmology.- 11: Introduction to General Relativity.- 12: Linearized Einstein's Equations.- 13: Cauchy's Problem for Einstein's Equations.- 14: Schwarzchild's Universe.- 15: Schwarzchild's Solution and Black-Holes.- 16: Elements of Cosmology.- 17: Relative Formulation of Physical Laws.- Bibliography.

“This book is very useful for universities as text book for undergraduate and post graduate students of physics and mathematics. … strongly recommend this book for a textbook in any university.” (P. K. Sahoo, zbMATH 1435.83002, 2020)