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Author: D L Goncalves Publisher: World Scientific ISBN: 9814543535 Category : Languages : en Pages : 210
Book Description
This volume reflects the work of the Brazilian topology community. It also contains the work of some topologists who either collaborate or interact with a Brazilian topologist. Most of the work has been done in algebraic and geometric topology.
Author: D L Goncalves Publisher: World Scientific ISBN: 9814543535 Category : Languages : en Pages : 210
Book Description
This volume reflects the work of the Brazilian topology community. It also contains the work of some topologists who either collaborate or interact with a Brazilian topologist. Most of the work has been done in algebraic and geometric topology.
Author: Jerzy Jezierski Publisher: Springer Science & Business Media ISBN: 140203931X Category : Mathematics Languages : en Pages : 326
Book Description
The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory.
Author: Robert F. Brown Publisher: Springer Science & Business Media ISBN: 9781402032219 Category : Mathematics Languages : en Pages : 990
Book Description
This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.
Author: Octavian Cornea Publisher: American Mathematical Soc. ISBN: 0821828002 Category : Mathematics Languages : en Pages : 218
Book Description
This collection is the proceedings volume for the AMS-IMS-SIAM Joint Summer Research Conference, Lusternik-Schnirelmann Category, held in 2001 at Mount Holyoke College in Massachusetts. The conference attracted an international group of 37 participants that included many leading experts. The contributions included here represent some of the field's most able practitioners. With a surge of recent activity, exciting advances have been made in this field, including the resolution of several long-standing conjectures. Lusternik-Schnirelmann category is a numerical homotopy invariant that also provides a lower bound for the number of critical points of a smooth function on a manifold. The study of this invariant, together with related notions, forms a subject lying on the boundary between homotopy theory and critical point theory. These articles cover a wide range of topics: from a focus on concrete computations and applications to more abstract extensions of the fundamental ideas. The volume includes a survey article by P. Hilton that discusses earlier results from homotopy theory that form the basis for more recent work in this area. In this volume, professional mathematicians in topology and dynamical systems as well as graduate students will catch glimpses of the most recent views of the subject.
Author: Jean-Paul Brasselet Publisher: Springer Science & Business Media ISBN: 3642052045 Category : Mathematics Languages : en Pages : 242
Book Description
Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.
Author: Demeter Krupka Publisher: Elsevier ISBN: 0080556736 Category : Mathematics Languages : en Pages : 1243
Book Description
This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
Author: N. Lakshmi Narasimhan Publisher: Springer Nature ISBN: 9811934673 Category : Technology & Engineering Languages : en Pages : 669
Book Description
This book presents the select proceedings of the first International Conference on Energy and Materials Technologies (ICEMT) 2021, organized by the Department of Mechanical Engineering, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam, India. It covers the recent technologies in two broad thematic areas: energy and materials. Various topics covered in this book include hybrid energy, advanced energy systems, energy management, energy policy, geothermal, nuclear energy, bio-energy, waste to energy, power plants, and automotives. The book will be useful for students, researchers, and professionals in the area of mechanical engineering, especially various domains of energy.
Author: D L Goncalves
Author: D L Goncalves
Author: Jerzy Jezierski
Author: Robert F. Brown
Author: Octavian Cornea
Author: Jean-Paul Brasselet
Author: Demeter Krupka
Author: 
Author: Jens L. Mennicke
Author: 
Author: N. Lakshmi Narasimhan