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Focusing on the matrix method in quantum mechanics, the book provides a comprehensive exploration of Heisenberg's matrix mechanics, deriving fundamental equations through matrix calculus. It outlines the historical progression of quantum theory, highlighting contributions from Planck, Bohr, and Sommerfeld, and delves into the concepts introduced by Heisenberg, Born, and Jordan. Key principles such as Pauli's spin and exclusion principles are discussed, leading to atomic structure insights. The text also briefly covers Dirac's relativistic quantum mechanics and emphasizes the practical application of matrices in modern numerical algorithms.

This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the „Black Hole“ phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices.