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This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-simply connected spaces in a way that is compatible with the...
This book offers a comprehensive and in-depth exploration of hoop theory, a fascinating branch of algebra with deep connections to logic and other areas of mathematics. Among algebraic structures, hoops stand out as a rich subject of study, bridging the worlds of...
This monograph offers an overview of the active research area involving the class of PDEs known as Oskolkov equations. The author's analysis of these equations concentrates on thermal convection in a layer of incompressible fluid. Readers will learn how the...
This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics (CSHPM). It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of...
This book offers a historical and analytical study of the origins of holomorphic dynamics—a field linking analytic functions with the behavior of iterated orbits. Central to this account is the 1915–1918 Grand Prix des Sciences Mathématiques, whose...
Mean-Field-Type Game Theory I is the first of two volumes that together form a comprehensive treatment of mean-field-type game theory and applications, focused on finding state-of-the-art solutions to issues surrounding the next generation of cloud social networking,...
This is a survey of the classical Cesàro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from Cesàro's early work on summability of series and continues with the seminal paper of...
This monograph provides the first comprehensive introduction to set-theoretic solutions of the Yang–Baxter equation and their deep connections with skew braces. In recent decades, set-theoretic solutions have emerged as an accessible yet rich domain of study, offering...
This book presents selected lectures from the Wisla 22 Winter School and Workshop organized by the Baltic Institute of Mathematics that illustrate the power of geometric methods in understanding complex physical systems. Chapters progress from foundational...
The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. Chapters are based on talks given at the 2024 "International Conference on Evolution in Pure and Applied Mathematics" (ICEPAM) held at Akal...
This open access book examines the historical development of the concept of the virtual particle, from the first prominent appearance of virtual entities in quantum physics in the Bohr-Kramers-Slater (BKS) theory (1924) to the most common representation of virtual...
This volume provides a broad overview of state-of-the-art research on dynamical systems on networks. The chapters are based on contributions to the Final Conference of the COST Action 'CA18232: Mat-Dyn-Net: Mathematical Models for Interacting Dynamics on Networks....
This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work...
Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th...
This volume brings together lecture notes from the two most recent editions of the EMS Summer School Mathematical Aspects of Fluid Flows, held in Kacov, Czech Republic, in May 2019 and 2024. The lectures were taught by leading experts in various fields of...
This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across...
This book explores the most recent developments in the field of deterministic and stochastic fluid-structure interaction (FSI), which describes the coupled dynamical interaction between fluids and deformable structures. These sorts of problems arise in many real-life...
This unique reference work systematically presents and studies mathematical terms, sourcing literature from antiquity until the 20th century. The book provides detailed and reliable information on the origins and developments of more than 1,000 mathematical terms from...
This exposition introduces new developments of pseudo-differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis...
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