E. Pap Livres

Focusing on an active learning approach, this book presents complex analysis through a blend of theory and practical examples, aimed primarily at mathematicians and physicists. It emphasizes the application of complex analysis across various mathematical disciplines, showcasing its efficiency in problem-solving. The content is structured with minimal theory followed by well-chosen examples and exercises, including complete solutions for examples and hints for exercises. This step-by-step exposition allows readers to grasp new concepts effectively while encouraging independent problem-solving.

Focusing on null-additive set functions, this volume offers a comprehensive examination of a diverse range of mathematical theories that encompass classical measure theory. It explores significant set functions, including capacities, triangular set functions, fuzzy measures, and possibility measures, among others. By presenting a unified framework, the book highlights the interplay between these concepts, making it a valuable resource for understanding both traditional and contemporary approaches in the field of measure theory.

The history of triangular norms (t-norms) began with Karl Menger's 1942 paper on statistical metrics, which used probability distributions to describe distances in metric spaces. T-norms emerged from generalizing the triangle inequality. Key developments by Schweizer and Sklar established modern axioms and spurred advancements in probabilistic metric spaces.