Erwin Brüning Livres

This revised edition offers a comprehensive exploration of modern advancements in the direct methods of calculus of variations, bridging traditional approaches with contemporary theories. Key topics include Thomas-Fermi theory and global systems of semilinear elliptic partial-differential equations, focusing on weak solutions and their regularity. While it connects to nonlinear functional analysis, the presentation prioritizes clarity and accessibility, making it suitable for readers seeking a deeper understanding of applied mathematics and mathematical physics.

Focusing on the nuances of China's trade surplus, the book addresses common misconceptions and explores the relationship between the RMB's exchange rate and trade dynamics. It also offers insights into strategies China might employ to mitigate trade frictions, providing a comprehensive analysis of economic factors at play.

Based on eight extensive lectures selected from those given at the renowned Chris Engelbrecht Summer School in Theoretical Physics in South Africa, this text on the theoretical foundations of quantum information processing and communication covers an array of topics, including quantum probabilities, open systems, and non-Markovian dynamics and decoherence. It also addresses quantum information and relativity as well as testing quantum mechanics in high energy physics. Because these self-contained lectures discuss topics not typically covered in advanced undergraduate courses, they are ideal for post-graduate students entering this field of research. Some of the lectures are written at a more introductory level while others are presented as tutorials that survey recent developments and results in various subfields.

Das Buch bietet eine Einführung in die mathematischen Grundlagen der Theoretischen Physik, mit einem Fokus auf die Theorie der Distributionen und die lineare Funktionalanalysis. Es enthält auch eine Einführung in die Theorie der linearen Operatoren in Hilbert-Räumen und erläuternde Übersichten sowie Anhänge zu grundlegenden Konzepten.