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Zeta Functions, Topology and Quantum Physics
This volume focuses on various aspects of zeta functions: multiple zeta values, Ohno’s relations, the Riemann hypothesis, L-functions, polylogarithms, and their interplay with other disciplines. Eleven articles on recent advances are written by outstanding experts in the above-mentioned fields. Each article starts with an introductory survey leading to the exciting new research developments accomplished by the contributors.
Zeta Functions of Groups and Rings
This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations.
Worlds Out of Nothing : A Course in the History of Geometry in the 19th Century
Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it done? How - if at all - was it appreciated? What new questions did it generate?
Well-being, Sustainability and Social Development : The Netherlands 1850–2050
Examines more than two centuries of societal development using novel historical and statistical approaches. It applies the well-being monitor developed by Statistics Netherlands that has been endorsed by a significant part of the international, statistical community. The study also reveals the importance of natural capital: soil, air, water and subsoil resources, showing their relation with the social structure of the ‘here and now´. Treatment and trade of natural resources also impacted on the quality of life ‘later’ and ‘elsewhere.’ Further, the book illustrates the role of natural capital by dividing the capital into three types of raw materials and concomitant material flows: bio-raw materials, mineral and fossil subsoil resources.
Weighted Littlewood-Paley Theory and Exponential-Square Integrability
Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions.
Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes.
Weak Dependence : With Examples and Applications
This monograph is aimed at developing Doukhan/Louhichi's (1999) idea to measure asymptotic independence of a random process. The authors propose various examples of models fitting such conditions such as stable Markov chains, dynamical systems or more complicated models, nonlinear, non-Markovian, and heteroskedastic models with infinite memory. Most of the commonly used stationary models fit their conditions. The simplicity of the conditions is also their strength.
Wavelets, Multiscale Systems and Hypercomplex Analysis
This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications.
Wavelet Analysis and Applications
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics.
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
This volume presents a detailed study of partial differential equations on planar graphs modeling networked flexible mechanical structures. Special emphasis is laid on the understanding of wave propagation phenomena, through the analysis of the problems of observability and controllability from small regions of the graph or its boundary. Some of these results are extended to the heat, beam and Schrödinger equations on planar graphs. Designed as a self-contained introductory course on control and observation of networks, the volume contains also some advanced topics and new techniques which may be of interest for researchers in this area. It also includes a list of open problems and topics for future research.
Wave Propagation and Time Reversal in Randomly Layered Media
Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments.This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients.
Warranty chain management : Digitalization and sustainability
Aims to provide a systemic viewpoint for enterprise to establish the warranty chain management system. This book includes warranty management practice, reverse logistics, product reliability engineering, data statistics and analysis, industry 4.0 and artificial intelligence, circular supply chain and sustainable design, and other basic theories and case descriptions.
Walsh Equiconvergence of Complex Interpolating Polynomials
A collection of the various old and new results, centered around the following simple observation of J L Walsh. This book is particularly useful for researchers in approximation and interpolation theory.
Walks on Ordinals and Their Characteristics
The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasis is placed on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory, combinatorics, general topology, functional analysis, and general algebra. The intended audience for this book are graduate students and researchers working in these areas interested in mastering and applying these methods.
Vorticity, Statistical Mechanics, and Monte Carlo Simulation
This book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors f this book explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them. In reading this book, the reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics.
Vortices in the Magnetic Ginzburg-Landau Model
This text presents complete and mathematically rigorous versions of both results either already known by physicists or applied mathematicians, or entirely new. It begins by introducing mathematical tools such as the vortex balls construction and Jacobian estimates. Among the applications presented are: the determination of the vortex densities and vortex locations for energy minimizers in a wide range of regimes of applied fields, the precise expansion of the so-called first critical field in a bounded domain, the existence of branches of solutions with given numbers of vortices, and the derivation of a criticality condition for vortex densities of non-minimizing solutions. Thus, this book retraces in an almost entirely self-contained way many results that are scattered in series of articles, while containing a number of previously unpublished results as well.
Vortices in Bose-Einstein Condensates
This book provides an up-to-date approach to the diagnosis and management of endocarditis based on a critical analysis of the recent studies. The book is structured in a format that is easy to follow, clinically relevant and evidence based.
Visualization, Explanation and Reasoning Styles in Mathematics
Contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams etc.
Visualization in Medicine and Life Sciences
Contains papers discussing some of the latest data processing and visualization techniques and systems for e?ective analysis of diverse, large, complex, and multi-source data. Internationally leading experts in the area of data visualization came - gether for a workshop dedicated to visualization in medicine and life sciences, held on the island of Rugen, ¨ Germany, in July 2006.
Visualization and Processing of Tensor Fields
This book is the first edited volume that presents the state-of-the-art in the visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before.
