Marcus Kriele Knihy

One of the most exciting aspects of general relativity is its prediction of black holes and the Big Bang, supported by Penrose's theorems on singularities. These theorems argue for the existence of black holes and suggest that the universe began with a Big Bang. However, a critical analysis reveals that the predictions of these theorems are often lacking. We typically provide a proof of a singularity theorem and use it to illustrate problems arising from violations of causality and the crossing of singularities. This adds weight to the view that singularity theorems alone are insufficient to predict the existence of physical singularities. The book emphasizes the importance of understanding mathematical theories through familiar non-mathematical concepts. Physical theories have significantly influenced the development of mathematics, while modern physical theories often require sophisticated mathematical formulations. Today, the complexity of both physics and mathematics makes it challenging to master theories in either discipline. However, the relationship between differential pseudo-Riemannian geometry and general relativity is particularly close, allowing for a fruitful interdisciplinary approach. This connection highlights the necessity of integrating mathematical and physical insights to deepen our understanding of these fundamental concepts.

Focusing on the intersection of actuarial methods and traditional internal control, this interdisciplinary work delves into essential topics such as risk capital, capital allocation, performance measurement, and value-oriented management. It provides valuable insights for professionals seeking to enhance their understanding of risk management and improve decision-making processes within organizations.

Die Autoren vermitteln Basiswissen für wertorientiertes Risikomanagement – ein ganzheitlicher Ansatz zur Unternehmenssteuerung. Ziel ist es, Leser dazu zu befähigen, ein auf quantitativen Methoden basierendes Risikomanagement im Unternehmen zu implementieren. In ihrer Darstellung verbinden sie mathematische Konzepte mit der Vermittlung praxisrelevanter Methoden. Grundkenntnisse der Wahrscheinlichkeitsrechnung und mathematisches Verständnis werden vorausgesetzt. Der Band enthält Simulationsbeispiele in der frei erhältlichen Statistiksoftware R.