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This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings. Singularity theory is at the crossroad of various branches of mathematics and science in general.

This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insulators, of the famous equation originally invented by P.A.M.

Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method.

This book offers a new approach to third-order aberrations theory. It presents the basic elements of third-order aberrations of optical telescopes, along with the necessary mathematical background, to design almost all optical combinations used in astronomy.

This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam.

An up-to-date comprehensive overview of the GABA B receptor system with a particular focus on the most recent therapeutic applications and potential.

This volume explores recent advances in the use of pluripotent stem cells (PSCs) and adult stem cells (ASCs) in basic and clinical applications.

This bookgathers the proceedings of the conference "Cultures of Mathematics andLogic," held in Guangzhou, China. In this context, thecultural diversity can be diachronical (different cultures in differenthistorical periods), geographical (different cultures in different regions), orsociological in nature.

Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schroedinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances.

The second edition of this work continues to address the intimate pathophysiologic relationship between hypertension and stroke. The editors and authors clearly and concisely synthesize our developing knowledge of this relationship and place epidemiologic and physiologic information into a practical clinical context. Comprehensive chapters present the evidence supporting strategies for stroke prevention and care, including blood pressure lowering therapies, anti-coagulation, and management of other cerebrovascular risk factors. In addition to prescriptive measures for first stroke prevention, the book illuminates current regimens for care immediately after acute stroke and for the prevention of recurrent stroke. This latest edition also features extensively updated chapters from the previous edition, as well as new chapters on the effects of hypertension and stroke on the cerebral vasculature, blood pressure management in subarachnoid hemorrhage, and blood pressure variability, antihypertensive therapy, and stroke risk.Written by experts in the field, Hypertension and Stroke: Pathophysiology and Management, Second Edition is of great utility for specialists in neurology and cardiovascular medicine and a valuable practical resource for all physicians caring for older adults and hypertensive patients.

This volumepresents a collection of papers covering applications from a wide range ofsystems with infinitely many degrees of freedom studied using techniques fromstochastic and infinite dimensional analysis, e.g.

Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed.

This text is an especially timely new text as the number of studies focusing on the impact of the Mediterranean diet on disease prevention increases every year.

It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows.

This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton's research.

This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton's research.

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras.Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.

This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders.

In the post human-genome project era, cancer specific genomic maps are redesigning tumor taxonomy by evolving from histopathology to molecular pathology. The success of a cancer drug today is fundamentally based on the success in identifying target genes that control beneficial pathways. The overwhelming power of genomics and proteomics has enlightened researchers about the fact that the PI3K-mTOR pathway is the most commonly up-regulated signal transduction pathway in various cancers, either by virtue of its activation downstream of many cell surface growth factor receptors or by virtue of its collateral and compensatory circuitry with RAS-MAPK pathway. Oncogenic signaling in the majority of solid tumors is sustained via the PI3K-AKT-mTOR pathway. Because of its prominent role in many cancer types, the PI3K-mTOR pathway has become a major therapeutic target. The volume includes two complementary parts which address the problem of etiology and disease progression and is intended to portray the very basic mechanisms of the PI3K-AKT-mTOR signaling pathway's involvement in various facets of the cancer, including stem cell renewal, cell metabolism, angiogenesis, genetic instability, and drug resistance. Significant progress has been made in recent years elucidating the molecular mechanism of cancer cell proliferation, angiogenesis, and drug-resistance in relation to the PI3K-mTOR pathway and this volume provides an in-depth overview of recent developments made in this area.¿

This is a comprehensive survey on the research on the parabolic Anderson model - the heat equation with random potential or the random walk in random potential - of the years 1990 - 2015.

This book focuses on the basic aspects of dental stem cells (DSCs) as well as their clinical applications in tissue engineering and regenerative medicine.

This book features a selection of articles based on the XXXIV Bialowieza Workshop on Geometric Methods in Physics, 2015.

This book provides a road map for the efficient and successful management of atrial fibrillation (AF) in the short stay unit.

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics.

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms.