Bøger udgivet af Birkhauser Verlag AG

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency ¿ the Schramm¿Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.

This book addresses the manifestation of lung disease in patients with rheumatoid arthritis (RA). overviews of the specific lung diseases, including interstitial lung disease, and their epidemiology, associated imaging, histopathology, biomarkers, and management;

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary.

This book examines the European discussion about alternative schooling in the 20th century. It refers to a stream of concepts that are often described as New Education, Progressive Education, Education Nouvelle or Reformpadagogik, and discusses a range of different models of alternative schooling.

With substantial risks arising from resource constraints on global growth, serious questions are being posed about how a scarcity of finite resources may impact global social and political fragility.

Flipped learning-in which students view recorded lectures outside of the classroom and then utilize class time to develop a broad range of knowledge and skills-is a relatively new phenomenon.

Climate Change and Writing the Canadian Arctic explores the impact of climate change on Canadian literary culture.

Political Geometry is a must-have for anybody interested in political representation in the United States elections, and for anyone who's ever thought, "There must be a better way to do this."

This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory.

This book provides a comprehensive analysis of asset price movement. It examines different aspects of stock return predictability, the interaction between stock return and dividend growth predictability, the relationship between stocks and bonds, and the resulting implications for asset price movement.

While much attention has already been paid to Trump's use of Twitter as a phenomenon-how it helps drive news cycles, distracts attention from other matters, or levies attacks against rivals, the news media, and other critics-there has been little scholarly analysis of the impact Twitter played in the actual election.

This book addresses the obesity epidemic from a political, economic and social perspective. While it does examine the behavioral risks associated with rising obesity rates, it also explores the political level, by evaluating theories in social justice and the political economy that foster or restrict at-risk behaviors.

The common roots of success and failure in economic growth and development lie in the systemic governance and fragmentation of institutional complementarities, respectively, but not in the unilateral adaptation of market-led or state-led models.

Applying the principles of Optimal Control Theory to the problem of regional allocation of investment can be a useful tool for demonstrating how the trade-off between regional equity and overall efficiency can be overcome.

The demand for return in investment (ROI) analyses in public health is on the rise as a 'business case' needs to be presented before a public health programme can be funded.

This book is concerned with the study in two dimensions of stationary solutions of ue of a complex valued Ginzburg-Landau equation involving a small parameter e. The number of these defects is exactly the Brouwer degree - or winding number - of the boundary condition.

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.

This textbook presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions, tensors of stresses and strains, continuity, momentum, energy, thermodynamics laws, and similarity theory.  The models and their solutions are presented within a context of the mechanics of multiphase media.  The treatment fully utilizes the computer algebra and software system Mathematica® to both develop concepts and help the reader to master modern methods of solving problems in fluid mechanics.Topics and features:Glossary of over thirty Mathematica® computer programsExtensive, self-contained appendix of Mathematica® functions and their useChapter coverage of mechanics of multiphase heterogeneous mediaDetailed coverage of theory of shock waves in gas dynamicsThorough discussion of aerohydrodynamics of ideal and viscous fluidsand gasesComplete worked examples with detailed solutionsProblem-solving approachFoundations of Fluid Mechanics with Applications is a complete and accessible text or reference for graduates and professionals in mechanics, applied mathematics, physical sciences, materials science, and engineering.  It is an essential resource for the study and use of modern solution methods for problems in fluid mechanics and the underlying mathematical models.  The present, softcover reprint is designed to make this classic textbook available to a wider audience.

This volume provides an integrated account of our current understanding of the functions of D-type cyclins during development and tumorigenesis, with special emphasis on the kinase-independent functions of these proteins.

Discover the answers to these, and other profound physics questions!This fascinating book presents a collection of articles based on conversations and correspondences between the author and complete strangers about physics and math.

This monograph investigates the stability and performance of control systems subject to actuator saturation. The authors apply these treatments to the estimation of the domain of attraction and the finite-gain L2 performance by using the quadratic Lyapunov function and the composite quadratic Lyapunov function.

This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d¿Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzanös objections to Kant¿s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17th Centuries. The remaining papers deal with the history of mathematics and cover such subjects as Early schemes for polar ordinates in the work of L¿Hôpital, based on lessons given to him by BernoulliA method devised by Euler for determining if a number is a sum of two squaresPlayfair¿s Axiom and what it reveals about the history of 19th-Century mathematics educationThe modern library classification system for mathematical subjectsAn exploration of various examples of sundials throughout ParisWritten by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous area;

This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the ¿research project for beginners¿ proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area.The book is organized in five parts:In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation.Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models.Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results.Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.

It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach.

Many problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations. This book is an introduction to the problems involving singular limits based on the concept of weak or variational solutions.