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Author : Enrique Outerelo Domínguez
Publisher :
ISBN 13 : 9781470411718
Total Pages : 258 pages
Book Rating : 4.4/5 (117 download)
Download or read book Mapping Degree Theory written by Enrique Outerelo Domínguez and published by . This book was released on 2009 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enrique Outerelo
Publisher : American Mathematical Soc.
ISBN 13 : 0821849158
Total Pages : 244 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mapping Degree Theory written by Enrique Outerelo and published by American Mathematical Soc.. This book was released on 2009-11-12 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. After a historical first chapter, the remaining four chapters develop the mathematics. An effort is made to use only elementary methods, resulting in a self-contained presentation. Even so, the book arrives at some truly outstanding theorems: the classification of homotopy classes for spheres and the Poincare-Hopf Index Theorem, as well as the proofs of the original formulations by Cauchy, Poincare, and others. Although the mapping degree theory you will discover in this book is a classical subject, the treatment is refreshing for its simple and direct style. The straightforward exposition is accented by the appearance of several uncommon topics: tubular neighborhoods without metrics, differences between class 1 and class 2 mappings, Jordan Separation with neither compactness nor cohomology, explicit constructions of homotopy classes of spheres, and the direct computation of the Hopf invariant of the first Hopf fibration. The book is suitable for a one-semester graduate course. There are 180 exercises and problems of different scope and difficulty.
Author : Alexander M. Kushkuley
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.F/5 ( download)
Download or read book Geometric Methods in Degree Theory for Equivariant Maps written by Alexander M. Kushkuley and published by Lecture Notes in Mathematics. This book was released on 1996-08-19 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations. The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory.
Author : Harold Rosenberg
Publisher : American Mathematical Soc.
ISBN 13 : 1470441853
Total Pages : 62 pages
Book Rating : 4.4/5 (74 download)
Download or read book Degree Theory of Immersed Hypersurfaces written by Harold Rosenberg and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function.
Author : Irene Fonseca
Publisher : Oxford University Press
ISBN 13 : 9780198511960
Total Pages : 226 pages
Book Rating : 4.5/5 (119 download)
Download or read book Degree Theory in Analysis and Applications written by Irene Fonseca and published by Oxford University Press. This book was released on 1995 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and Jordan's separation theorem.
Author : Wojciech Kryszewski
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.3/5 (121 download)
Download or read book Topological and Approximation Methods of Degree Theory of Set-valued Maps written by Wojciech Kryszewski and published by . This book was released on 1994 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yeol Je Cho
Publisher : CRC Press
ISBN 13 : 1420011480
Total Pages : 232 pages
Book Rating : 4.4/5 (2 download)
Download or read book Topological Degree Theory and Applications written by Yeol Je Cho and published by CRC Press. This book was released on 2006-03-27 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its ap
Author : Hemant Kumar Pathak
Publisher : Springer
ISBN 13 : 9811088667
Total Pages : 830 pages
Book Rating : 4.8/5 (11 download)
Download or read book An Introduction to Nonlinear Analysis and Fixed Point Theory written by Hemant Kumar Pathak and published by Springer. This book was released on 2018-05-19 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines. Nonlinear analysis is characterised by its applications in numerous interdisciplinary fields, ranging from engineering to space science, hydromechanics to astrophysics, chemistry to biology, theoretical mechanics to biomechanics and economics to stochastic game theory. Organised into ten chapters, the book shows the elegance of the subject and its deep-rooted concepts and techniques, which provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in diverse applied fields. It is intended for graduate and undergraduate students of mathematics and engineering who are familiar with discrete mathematical structures, differential and integral equations, operator theory, measure theory, Banach and Hilbert spaces, locally convex topological vector spaces, and linear functional analysis.
Author : Mohamed A. Khamsi
Publisher : John Wiley & Sons
ISBN 13 : 1118031326
Total Pages : 318 pages
Book Rating : 4.1/5 (18 download)
Download or read book An Introduction to Metric Spaces and Fixed Point Theory written by Mohamed A. Khamsi and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diese Einfuhrung in das Gebiet der metrischen Raume richtet sich in erster Linie nicht an Spezialisten, sondern an Anwender der Methode aus den verschiedensten Bereichen der Naturwissenschaften. Besonders ausfuhrlich und anschaulich werden die Grundlagen von metrischen Raumen und Banach-Raumen erklart, Anhange enthalten Informationen zu verschiedenen Schlusselkonzepten der Mengentheorie (Zornsches Lemma, Tychonov-Theorem, transfinite Induktion usw.). Die hinteren Kapitel des Buches beschaftigen sich mit fortgeschritteneren Themen.
Author : Felix E. Browder
Publisher : American Mathematical Soc.
ISBN 13 : 0821814710
Total Pages : 540 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Functional Analysis and Its Applications written by Felix E. Browder and published by American Mathematical Soc.. This book was released on 1986 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yu Qing Chen
Publisher : Nova Publishers
ISBN 13 : 9781594540677
Total Pages : 192 pages
Book Rating : 4.5/5 (46 download)
Download or read book Nonlinear Operator Theory in Abstract Spaces and Applications written by Yu Qing Chen and published by Nova Publishers. This book was released on 2004 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.
Author : Robert F. Brown
Publisher : Springer
ISBN 13 : 3319117947
Total Pages : 240 pages
Book Rating : 4.3/5 (191 download)
Download or read book A Topological Introduction to Nonlinear Analysis written by Robert F. Brown and published by Springer. This book was released on 2014-11-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world. Included in this new edition are several new chapters that present the fixed point index and its applications. The exposition and mathematical content is improved throughout. This book is ideal for self-study for mathematicians and students interested in such areas of geometric and algebraic topology, functional analysis, differential equations, and applied mathematics. It is a sharply focused and highly readable view of nonlinear analysis by a practicing topologist who has seen a clear path to understanding. "For the topology-minded reader, the book indeed has a lot to offer: written in a very personal, eloquent and instructive style it makes one of the highlights of nonlinear analysis accessible to a wide audience."-Monatshefte fur Mathematik (2006)
Author : Athanass Kartsatos
Publisher : CRC Press
ISBN 13 : 9780824797218
Total Pages : 338 pages
Book Rating : 4.7/5 (972 download)
Download or read book Theory and Applications of Nonlinear Operators of Accretive and Monotone Type written by Athanass Kartsatos and published by CRC Press. This book was released on 1996-03-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.
Author : Wolodymyr V. Petryshyn
Publisher : CRC Press
ISBN 13 : 9780824787936
Total Pages : 394 pages
Book Rating : 4.7/5 (879 download)
Download or read book Approximation-solvability of Nonlinear Functional and Differential Equations written by Wolodymyr V. Petryshyn and published by CRC Press. This book was released on 1992-12-16 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference/text develops a constructive theory of solvability on linear and nonlinear abstract and differential equations - involving A-proper operator equations in separable Banach spaces, and treats the problem of existence of a solution for equations involving pseudo-A-proper and weakly-A-proper mappings, and illustrates their applications.;Facilitating the understanding of the solvability of equations in infinite dimensional Banach space through finite dimensional appoximations, this book: offers an elementary introductions to the general theory of A-proper and pseudo-A-proper maps; develops the linear theory of A-proper maps; furnishes the best possible results for linear equations; establishes the existence of fixed points and eigenvalues for P-gamma-compact maps, including classical results; provides surjectivity theorems for pseudo-A-proper and weakly-A-proper mappings that unify and extend earlier results on monotone and accretive mappings; shows how Friedrichs' linear extension theory can be generalized to the extensions of densely defined nonlinear operators in a Hilbert space; presents the generalized topological degree theory for A-proper mappings; and applies abstract results to boundary value problems and to bifurcation and asymptotic bifurcation problems.;There are also over 900 display equations, and an appendix that contains basic theorems from real function theory and measure/integration theory.
Author : E. Fadell
Publisher : Springer
ISBN 13 : 3540386009
Total Pages : 524 pages
Book Rating : 4.5/5 (43 download)
Download or read book Fixed Point Theory written by E. Fadell and published by Springer. This book was released on 2006-11-14 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kung Ching Chang
Publisher : Springer Science & Business Media
ISBN 13 : 9783540241331
Total Pages : 462 pages
Book Rating : 4.2/5 (413 download)
Download or read book Methods in Nonlinear Analysis written by Kung Ching Chang and published by Springer Science & Business Media. This book was released on 2005-08-26 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews the basic theories and methods, with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry.
Author : Robert F. Brown
Publisher : Springer Science & Business Media
ISBN 13 : 1402032226
Total Pages : 972 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Topological Fixed Point Theory written by Robert F. Brown and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the world literature presenting all new trends in topological fixed point theory. Until now all books connected to the topological fixed point theory were devoted only to some parts of this theory. 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.
