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On the Topology of Isolated Singularities in Analytic Spaces
The aim of this book is to give an overview of selected topics on the topology of real and complex isolated singularities, with emphasis on its relations to other branches of geometry and topology. The first chapters are mostly devoted to complex singularities and a myriad of results spread in a vast literature, which are presented here in a unified way, accessible to non-specialists. Among the topics are the fibration theorems of Milnor; the relation with 3-dimensional Lie groups; exotic spheres; spin structures and 3-manifold invariants; the geometry of quadrics and Arnold's theorem which states that the complex projective plane modulo conjugation is the 4-sphere. The second part of the book studies pioneer work about real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions. This provides new methods for constructing manifolds equipped with a rich geometry.
Numerical Methods for General and Structured Eigenvalue Problems
The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A??I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli?cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases, the eigenvalues have an intrinsic meaning, e.g., for the expected long-time behavior of a dynamical system; in others they are just meaningless intermediate values of a computational method. The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states. Computing eigenvalues has a long history, dating back to at least 1846 when Jacobi [172] wrote his famous paper on solving symmetric eigenvalue problems. Detailed historical accounts of this subject can be found in two papers by Golub and van der Vorst [140, 327].
Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups
In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L1-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.
Nonsmooth Analysis
The book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and finally presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed; this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. The presentation is rigorous, with detailed proofs. Each chapter ends with bibliographic notes and exercises.
NonlinearWaves and Solitons on Contours and Closed Surfaces
The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems.
Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors
This book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as self-contained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequa.
Nonlinear Ill-posed Problems of Monotone Type
This monograph offers a systematic and thorough exposition of the theory and applications of non-linear equations and variational inequalities with monotone and accretive operators. … The authors have collected, classified, and properly arranged a great deal of results . The present book will certainly help the reader to obtain an introduction to basic ideas and results of the contemporary theory of solution methods for nonlinear monotone problems.
Nonlinear Elliptic and Parabolic Problems : A Special Tribute to the Work of Herbert Amann
The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces.
Next Generation Teletraffic and Wired/Wireless Advanced Networking ; 8th International Conference, NEW2AN and 1st Russian Conference on Smart Spaces, ruSMART 2008 St. Petersburg, Russia, September 3-5, 2008. Proceedings
This book constitutes the refereed proceedings of the 8th International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking, NEW2AN 2008, held in St. Petersburg, Russia in September 3-5, 2008 in conjunction with the First ruSMART 2008.The 21 revised full papers presented were carefully reviewed and selected from a total of 60 submissions. The NEW2AN papers are organized in topical sections on wireless networks, multi-hop wireless networks, cross-layer design, teletraffic theory, multimedia communications, heterogeneous networks, network security. The ruSMART papers start with three keynote talks followed by seven articles on Smart Spaces.
Nature by Design : The Practice of Biophilic Design
Describes the basic principles, practices, and options for successfully implementing biophilic design. He shows us what is—and isn’t—good biophilic design using examples of workplaces, healthcare facilities, schools, commercial centers, religious structures, and hospitality settings. This book will to appeal to architects, designers, engineers, scholars of human evolutionary biology, and—with more than one hundred striking images of designs—anyone interested in nature‑inspired spaces.
Naive Lie Theory
In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra.
Multiple Integrals in the Calculus of Variations
From the reviews: "…the book contains a wealth of material essential to the researcher concerned with multiple integral variational problems and with elliptic partial differential equations. The book not only reports the researches of the author but also the contributions of his contemporaries in the same and related fields. The book undoubtedly will become a standard reference for researchers in these areas. …The book is addressed mainly to mature mathematical analysts. However, any student of analysis will be greatly rewarded by a careful study of this book."
Motivic Homotopy Theory : Lectures at a Summer School in Nordfjordeid, Norway, August 2002
This book is based on lectures given at a summer school held in Nordfjordeid on the Norwegian west coast in August 2002. In the little town with the sp- tacular surroundings where Sophus Lie was born in 1842, the municipality, in collaboration with the mathematics departments at the universities, has established the “Sophus Lie conference center”. The purpose is to help or- nizing conferences and summer schools at a local boarding school during its summer vacation, and the algebraists and algebraic geometers in Norway had already organized such summer schools for a number of years. In 2002 a joint project with the algebraic topologists was proposed.
Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology
It covered an ample spectrum of subjects which are re ected in the present volume: Morse theory and related techniques in in nite dim- sional spaces, Floer theory and its recent extensions and generalizations, Morse and Floer theory in relation to string topology, generating functions, structure of the group of Hamiltonian difieomorphisms and related dynamical problems, applications to robotics and many others. We thank all our main speakers for their stimulating lectures and all p- ticipants for creating a friendly atmosphere
Modern Theatres 1950–2020
Explores in detail 30 of the most significant theatres, concert halls, opera houses and dance spaces that opened between 1950 and 2010. Each theatre is reviewed and assessed by experts in theatre buildings, such as architects, acousticians, consultants and theatre practitioners, and illustrated with full-colour photographs and comparative plans and sections. A further 20 theatres that opened from 2009 to 2020 are concisely reviewed and illustrated. An excellent resource for students of theatre planning, theatre architecture and architectural design, Modern Theatres 1950 – 2020 discusses the role of performing arts buildings in cities, explores their public and performances spaces and examines the acoustics and technologies needed in a great building. This beautifully illustrated book is also a must-read for architects, theater designers, theatre historians, and theatre practitioners.
Modern Methods in the Calculus of Variations : L^p Spaces
This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory.This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces.
Modern hospice design : The architecture of palliative and social care
Takes cognisance of the new conditions of social care in the 21st century, principally in the UK, Europe and North America. It does so with regard to the development of new building types, but also in response to new philosophies of palliative care and the status of the elderly and the dying. At its core is a public discussion of a philosophy of design for providing care for the elderly and the vulnerable, taking the importance of architectural aesthetics, the use of quality materials, the porousness of design to the wider world, and the integration of indoor and outdoor spaces as part of the overall care environment.
Modern Differential Geometry in Gauge Theories : Maxwell Fields ; Vol. I
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications .Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology.
Model Checking Software ; Vol. 3925 ; 13th International SPIN Workshop, Vienna, Austria, March 30 - April 1, 2006, Proceedings
he name “SPIN” refers both to a workshopon model checking and to a famous model checking tool. The SPIN workshop is an annual forum for practitioners and researchersinterested in state space-based techniques for the validation and analysis of software and hardware systems, including communication protocols. It focuses on techniques based on explicit representations of state spaces, as implemented in the SPIN model checker or other tools, and techniques based on a combination of explicit representations with other representations. The SPIN model checker has proven to be particularly suited for the analysis of concurrent asynchronous systems. The workshop aims to encourage interaction and exchange of ideas with all related areas in software engineering.
Mobile Communications : Re-negotiation of the Social Sphere
Mobile Communications: Renegotiation of the Social Sphere surveys some of the broader issues associated with the adoption and use of mobile communication, and explores developing areas of inquiry. Mobile communications are looked at in the context of other types of mediated interaction (e-mail, instant messaging, Wi-Fi, landline telephone etc.), thus demonstrating the uniqueness of this form of communication and how it is influencing the renegotiation of the social sphere. A truly international set of contributors consider how mobile communication has impacted on society and reflect on how it is used (and sometimes resented) in various public and private spaces. They provide an in-depth analysis of specific areas which complement our understanding of the phenomena including: • The psychological dimensions of mobile communication (addiction, proclivity to be disturbed by others use of the mobile phone), • The linguistics of mobile communication, and • The understanding of mobile communication’s commercialisation. This book will be a valuable addition to any researcher’s or professional’s reading material in the area of interaction of technology and society, providing the reader with a broad insight and specific knowledge of how mobile communication is reformulating the social sphere.
