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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 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...
This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner. Often dismissed as a subordinate topic within Fourier and Laplace transform, it is instead demonstrated here that the theory is completely...
Fault tree analysis is key tool in risk analysis. It is a widely used industry standard with applications in amongst others, the aerospace, automotive, chemical and nuclear industries. Society depends on complex engineering systems such as (nuclear) power plants,...
This monograph presents state-of-the-art results at the intersection of Harmonic Analysis, Functional Analysis, Geometric Measure Theory, and Partial Differential Equations, providing tools for treating elliptic boundary value problems for systems of PDE’s in...
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 book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces. First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of...
Schemata are formal tools for describing inductive reasoning. They opened a new area in the analysis of inductive proofs. The book introduces schemata for first-order terms, first-order formulas and first-order inference systems. Based on general first-order schemata,...
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 is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America). This book includes selected contributions of speakers at the ICMAM Latin...
This volume explores the profound impact of Felix Klein on the evolution of mathematics beyond Germany, particularly in number theory, algebra, geometry, analysis, and the application of mathematics in scientific and technical fields, as well as mathematics education....
This open access volume gives a panorama of Shape Computation, exploring its diverse design practices and interdisciplinary applications. Originating in the seminal 1972 article by George Stiny and James Gips that introduced shape grammars as a new computational...
This contributed volume provides an integrated perspective on modern mathematical and computational techniques for addressing complex problems in networks, control systems, learning, and game theory. It encompasses state-of-the-art research from a diverse range of...
This book is a conceptual exploration of numbers, offering a unique perspective that blends mathematical insights with philosophical reflections. It includes chapters on specific numbers to illustrate broader theoretical issues, with a notable emphasis on the concept of...
This volume, as a sequel to Volumes I-IV of “Integral Operators in Non-Standard Function Spaces”, is devoted to the authors’ most recent advances in harmonic analysis and their applications. This volume focusses on Rellich inequalities in the variable...
This book is a compilation of the author's most important papers about the contributions of Bertrand Russell, Kurt Gödel, and Alfred Tarski to the philosophy of logic and mathematics. It also includes a personal reflection of the author's approach to his field of...
This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school "Stochastics in Fluids", held in Prague in August 2023. Readers will find a thorough analysis of...
This volume features selected contributions from participants of the 17th African Conference on Research in Computer Science and Applied Mathematics (CARI 2024), held at the University of Béjaïa, Algeria, from November 23-26, 2024. The topics covered include...
This volume features a collection of papers and lecture notes from the “XIV Symposium on Probability and Stochastic Processes,” held at the Center for Research in Mathematics (CIMAT), Mexico, in November 2023. Contributions discuss state-of-the-art...
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