Although Leonardo’s Giant Crossbow is one of his most popular drawings, it has been one of the least understood. "Leonardo’s Giant Crossbow" offers the first in-depth account of this drawing’s likely purpose and its highly resolved design. This fascinating book has a wealth of technical information about the Giant Crossbow drawing, as it’s a complete study of this project, though this is as accessible to the general audience as much as it is also informative with new discoveries for the professors of engineering, technology and art. The book explores the context of Leonardo’s invention with an examination of the extensive documentary evidence, a short history of the great crossbow and ballista, the first accurate translation of the text and the technical specifications, and a detailed analysis of Leonardo’s design process for the crossbow, from start to finish. Dozens of preparatory drawings, along with the recent discovery of nearly invisible metal stylus preparatory incisions under the ink of the Giant Crossbow drawing, are evidence of Leonardo’s intent to offer engineers and other viewers a thorough design of the massive machine. The book proposes these new discoveries with the help of a strategy that had been at the core of Leonardo’s working philosophy: the proportional method. As proven with an analysis of the Giant Crossbow project, he used a consistent approach to 1/3rd proportions throughout the design and drawing process and employed this kind of proportional strategy at the start of almost every important project. Thanks to this proof of his knowledge of geometry, evidence of his studies of impetus and force, and thanks to the highly polished and complex nature of the Giant Crossbow design, a later date for the drawing is proposed in the present book, associating the drawing with his drafting capabilities around 1490-93.

The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena.

The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new.

Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guides the algorithmic analysis and its presentation. Topology-based methods in visualization have been around since the beg- ning of visualization as a scienti?c discipline, but they initially played only a minor role. In recent years,interest in topology-basedvisualization has grown andsigni?cantinnovationhasledto newconceptsandsuccessfulapplications. The latest trends adapt basic topological concepts to precisely express user interests in topological properties of the data. This book is the outcome of the second workshop on Topological Methods in Visualization, which was held March 4–6, 2007 in Kloster Nimbschen near Leipzig,Germany.Theworkshopbroughttogethermorethan40international researchers to present and discuss the state of the art and new trends in the ?eld of topology-based visualization. Two inspiring invited talks by George Haller, MIT, and Nelson Max, LLNL, were accompanied by 14 presentations by participants and two panel discussions on current and future trends in visualization research. This book contains thirteen research papers that have been peer-reviewed in a two-stage review process. In the ?rst phase, submitted papers where peer-reviewed by the international program committee. After the workshop accepted papers went through a revision and a second review process taking into account comments from the ?rst round and discussions at the workshop. Abouthalfthepapersconcerntopology-basedanalysisandvisualizationof ?uid?owsimulations;twopapersconcernmoregeneraltopologicalalgorithms, while theremaining papers discuss topology-based visualization methods in application areas like biology, medical imaging and electromagnetism.

This book is designed to enhance ocean literacy through diverse research, educational and interdisciplinary approaches. It focuses on a number of critical themes, including: an exploration of positionality, emphasizing the importance of acknowledging one’s own perspective in ocean-related research and advocacy; the nuances of trans-cross and interdisciplinarity in ocean studies, advocating for a systemic approach to understanding oceanic phenomena; a model for collaborative research and project development methods. The authors also include practical components such as a mapping of student-led projects on Ocean Literacy and a chapter dedicated to activities that can be implemented to promote understanding and engagement with oceanic themes. This part is designed to be directly applicable in educational settings, providing tools and ideas for active learning. The book is enriched with a vast array of references, resources, infographics, and mind maps to support the content visually and intellectually. Additionally, to ensure accessibility and enhance learning experiences, a video and audio version of the book will be available via a QR code, making this resource fully accessible to a broad audience, including those with visual and auditory impairments. This toolkit serves as a comprehensive guide for educators and researchers and is a pivotal resource for anyone committed to advancing ocean literacy.

This book makes a novel contribution to the literature by examining the intersection of social media, conflict and peacebuilding. It challenges traditional state-centric and Eurocentric approaches to international relations and peace and conflict studies by examining the role of social media in peacebuilding beyond a simplistic tech-solutionist versus tech-skeptical duality. The book explains why the impact of social media on peacebuilding is complex and depends on the political context and strategies of the actors involved in it. It uses an interdisciplinary lens to explore the potential and limitations of social media in peacebuilding, thereby contributing to a theoretical and empirical understanding of the role of digital technology in shaping conflict and promoting peace.

This is a unique volume in which a critical introduction and multiple chapters offer a wide-ranging discussion of medieval conceptions of the nature of humankind, its relationship with the universe, and the processes of thinking by which both are conceptualized. Concentrating on the centuries spanning the High Middle Ages, chapters include in-depth analyses of such ideas as the habit as the ultimate dwelling place of the soul, the Soul of the Universe and its relation to humanity, and the Agent Intellect’s part in the functions of the mind regarding abstraction and intuition. This book explores how metaphysical Intelligences interact with our movements, how the desires of our minds affect the acquisition of knowledge, as well as asking how and why analysis of the makeup of animal souls took place.