This open access book focuses on robot introspection, which has a direct impact on physical human–robot interaction and long-term autonomy, and which can benefit from autonomous anomaly monitoring and diagnosis, as well as anomaly recovery strategies. In robotics, the ability to reason, solve their own anomalies and proactively enrich owned knowledge is a direct way to improve autonomous beha…
This open access book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms. The theory stems from technology. Based on Shannon's information theory, this book systematically introduces the information theory, statistical…
This open access book introduces the modern tontine and its applications in retirement and decumulation. Personal financial management in the later stages of life presents unique challenges, and renowned retirement planning expert Dr. Milevsky proposes the modern tontine as a solution. With the goal of guiding professionals and retirees in more efficient decumulation, the book demonstrates how …
In diesem Open-Access-Buch werden professionelle Kompetenzen von angehenden Mathematiklehrkräften untersucht, die sie zur Förderung des Mathematiklernens und zur Motivationsförderung von Schüler*innen mit Lernschwierigkeiten benötigen. Dazu werden zunächst Grundsätze der Förderung dieser Schüler*innengruppe formuliert und, unter Berücksichtigung der Forschung zu professionellen Kompet…
This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice. Statistical modeling has…
Dieses Open-Access-Buch beschreibt die theoriebasierte Entwicklung einer semesterbegleitenden Maßnahme zur Förderung der Problemlösekompetenz von Studienanfänger:innen der Fachmathematik und des gymnasialen Lehramts, sowie die zyklische Modifikation dieser Maßnahme im Sinne der Entwicklungsforschung. Begleitend dazu wurden, mit dem Ziel, grundlegende Erkenntnisse zum studentischen Probleml…
In questo testo si introducono i concetti di base per la modellistica numerica di problemi differenziali alle derivate parziali. Si considerano le classiche equazioni lineari ellittiche, paraboliche ed iperboliche, ma anche altre equazioni, quali quelle di diffusione e trasporto, di Navier-Stokes e le leggi di conservazione; si forniscono inoltre numerosi esempi fisici che stanno alla base di t…
"Among his extraordinary mathematical and philosophical achievements, Gottfried Wilhelm Leibniz (1646-1716) invented binary arithmetic, the representational basis for today's world of digital computing and communications. This book will be the first to make a selection of his writings available in English. Strickland and Lewis provide an accessible introduction to Leibniz through some twenty mo…
This textbook explains the physics of phase transformation and associated constraints from a metallurgical or materials science point of view, based on many topics including crystallography, mass transport by diffusion, thermodynamics, heat transfer and related temperature gradients, thermal deformation, and even fracture mechanics. The work presented emphasizes solidification and related analy…