الصفحة 1
الصفحة 1
Vasculogenic mimicry : Methods and protocols
Provides detailed protocols for the identification and understanding of vasculogenic mimicry process in vitro and in vivo, in addition to protocols for microscopy and histology. Chapters guide readers through different materials, commercial and homemade scaffolds, Matrigel, cancer spheroids, 3D tissue constructs, vasculogenic processes, and mathematical model building.
Variétés différentielles et analytiques : Fascicule de résultats = Differential and analytical varieties : Results leaflet
Nicolas BOURBAKI's Elements of Mathematics aim to provide a rigorous, systematic presentation without prerequisites of mathematics from its foundations. This booklet brings together the fundamental notions and the main results of the theory of differentiable varieties (on the field of real numbers) and of analytical manifolds (on a complete non-discrete value field). It does not contain a demo.This volume is a reprint of the 1967 and 1971 editions.
Vanishing and Finiteness Results in Geometric Analysis : A Generalization of the Bochner Technique
This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods from spectral theory and qualitative properties of solutions of PDEs to comparison theorems in Riemannian geometry and potential theory.
Transport and Town Planning : The City in Search of Sustainable Development
explores the possibilities of cities that are both more energy efficient and more respectful of the environment. Based on the observation that urban planning has been detrimentally affected by the compartmentalization of knowledge and practices, this book is conceived as a dialog between transport and urban planning on the one hand, and between engineering and social science on the other. Systemic analysis and a historical approach, integrating the teachings of the last two centuries, constitute at the methodological level the framework in which this dialog unfolds.
Topological Quantum Field Theory and Four Manifolds
Deals with topological quantum field theories and their applications to topological aspects of four manifolds. This book contains a chapter dealing with topological aspects of four manifolds. It also provides an introduction to supersymmetry. It constitutes a useful tool for researchers interested in the basics of topological quantum field theory.
Topics in Analysis and its Applications
Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.
Tissue Engineering
This special issue of Advances in Experimental Medicine and Biology includes much of the research presented at the recent Second International Tissue Engineering Conference. Held in Crete, Greece, as part of the Aegean Conference Series, the Second International Tissue Engineering Conference was organized by Dr. Kiki Hellman of the Hellman Group, Dr. John Jansen of the Nijmegen University Medical Center, and Dr. Antonios Mikos of Rice University. The conference brought over 150 researchers from around the world to the Knossos Royal Village Conference Center in Crete from May 22 to 27, 2005. Following along the lines of the conference program, this volume is divided into seven sections, focusing on stem cells, signals, scaffolds, applied technologies, animal models, regulatory issues, as well as specific tissue engineering strategies. Both original research papers and review papers are presented.
The regeneration in dentistry with scaffolds application
Examines recent developments and new ideas influencing dental treatment, from scaffold-mediated tissue regeneration to individualized dentistry. Learn how cutting-edge methods, biomaterials, and minimally invasive approaches are transforming patient outcomes and the restoration of dental health.
The Novikov Conjecture : Geometry and Algebra
These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given.
Symplectic Geometry and Quantum Mechanics
Devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices.
Symplectic 4-Manifolds and Algebraic Surfaces : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2–10, 2003
Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics.
Supermanifolds and Supergroups : Basic Theory
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections.
Stability of Nonautonomous Differential Equations
Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, the construction and regularity of topological conjugacies, the study of center manifolds, as well as their reversibility and equivariance properties. Most results are obtained in the infinite-dimensional setting of Banach spaces. Furthermore, the linear variational equations are always assumed to possess a nonuniform exponential behavior, given either by the existence of a nonuniform exponential contraction or a nonuniform exponential dichotomy. The presentation is self-contained and has unified character. The volume contributes towards a rigorous mathematical foundation of the theory in the infinite-dimension setting, and may lead to further developments in the field. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Scalar and Asymptotic Scalar Derivatives : Theory and Applications
This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry, and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings ,and non-gradient type monotonicity on Riemannian manifolds. Scalar and Asymptotic Derivatives: Theory and Applications also presents the material in relation to Euclidean spaces, Hilbert spaces, Banach spaces, Riemannian manifolds, and Hadamard manifolds. This book is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry, and applied mathematics. In addition, it fills a gap in the literature as the first book to appear on the subject.
Representation Theory and Complex Analysis : Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10–17, 2004
Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces. Alain Valette recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups. Edward Frenkel describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed. Masaki Kashiwara studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups.
Representation Theory and Automorphic Forms
This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with number theory and differential geometry. Representation theory relates to number theory through the Langlands program, which conjecturally connects algebraic extensions of number fields to automorphic representations and L-functions. These are the subject of several of the papers. Multiplicity-free representations constitute another subject, which is approached geometrically via the notion of visible group actions on complex manifolds.
Regenerative Medicine II : Clinical and Preclinical Applications
Organ regeneration, once unknown in adult mammals, is at the threshold of maturity as a clinical method for restoration of organ function in humans. Several laboratories around the world are engaged in the development of new tools such as stem cells and biologically active scaffolds. Others are taking fresh looks at well-known clinical problems of replacement of a large variety of organs: Bone, skin, the spinal cord, peripheral nerves, articular cartilage, the conjunctiva, heart valves and urologic organs. Still other investigators are working out the mechanistic pathways of regeneration and the theoretical implications of growing back organs in an adult. The time has come to present a collection of these efforts from leading practitioners in the field of organ regeneration.
Regenerative Medicine I : Theories, Models and Methods
Organ regeneration, once unknown in adult mammals, is at the threshold of maturity as a clinical method for restoration of organ function in humans. Several laboratories around the world are engaged in the development of new tools such as stem cells and biologically active scaffolds. Others are taking fresh looks at well-known clinical problems of replacement of a large variety of organs: Bone, skin, the spinal cord, peripheral nerves, articular cartilage, the conjunctiva, heart valves and urologic organs. Still other investigators are working out the mechanistic pathways of regeneration and the theoretical implications of growing back organs in an adult. The time has come to present a collection of these efforts from leading practitioners in the field of organ regeneration.
Quarks and Leptons From Orbifolded Superstring
This book seeks to be a guidebook on the journey towards the minimal supersymmetric standard model down the orbifold road. It takes the viewpoint that the chirality of matter fermions is an essential aspect that orbifold compactification allows to derive from higher-dimensional string theories in a rather straight-forward manner.
Qualitative Theory of Planar Differential Systems
The book deals essentially with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced: based on both algebraic manipulation and numerical calculation, this was conceived for the purpose of drawing "Polynomial Planar Phase Portraits" on part of the plane, or on a Poincaré compactification, or even on a Poincaré-Lyapunov compactification of the plane.From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems.
