Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Morse Decomposition Of Semiflows On Topological Spaces full books in PDF, epub, and Kindle. Read online Morse Decomposition Of Semiflows On Topological Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Morse Decomposition of Semiflows on Topological Spaces written by Mauro Patrão and published by . This book was released on 2005 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book Morse Decomposition of Semiflows on Fiber Bundles written by Mauro Patrão and published by . This book was released on 2005 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)
Download or read book Semiflows on Topological Spaces written by Mauro Patrão and published by . This book was released on 2005 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Josiney Souza
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527545849
Total Pages : 348 pages
Book Rating : 4.5/5 (275 download)
Download or read book The Dynamic Morse Theory of Control Systems written by Josiney Souza and published by Cambridge Scholars Publishing. This book was released on 2020-01-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides insights into the dynamics of control systems with the integration of conceptions such as stability, controllability, attraction, and chain transitivity. It highlights the importance of Morse theory with its feature of describing the global dynamics of systems, presented here for the first time in control theory. The mathematical formulations are comprehensive, designed especially for students, researches, and professionals interested in qualitative studies of control systems. The reader will find the book an accessible source of basic definitions, properties, methods, examples, theorems, references, lists of problems, and open questions. Parts of the book may be used for courses or seminars in mathematics or control-theoretic engineering, and its reference guide will serve as a great resource for research projects and academic dissertations on control theory or dynamical systems.
Author : Carlile Lavor
Publisher : Springer
ISBN 13 : 3319940155
Total Pages : 407 pages
Book Rating : 4.3/5 (199 download)
Download or read book Advances in Mathematics and Applications written by Carlile Lavor and published by Springer. This book was released on 2018-09-07 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America. Written by senior professors at the IMECC, it covers topics in pure and applied mathematics and statistics ranging from differential geometry, dynamical systems, Lie groups, and partial differential equations to computational optimization, mathematical physics, stochastic process, time series, and more. A report on the challenges and opportunities of research in applied mathematics - a highly active field of research in the country - and highlights of the Institute since its foundation in 1968 completes this historical volume, which is unveiled in the same year that the International Mathematical Union (IMU) names Brazil as a member of the Group V of countries with the most relevant contributions in mathematics.
Author : Alexandre Carvalho
Publisher : Springer Science & Business Media
ISBN 13 : 1461445817
Total Pages : 434 pages
Book Rating : 4.4/5 (614 download)
Download or read book Attractors for infinite-dimensional non-autonomous dynamical systems written by Alexandre Carvalho and published by Springer Science & Business Media. This book was released on 2012-09-25 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
Author : Matheus C. Bortolan
Publisher : American Mathematical Soc.
ISBN 13 : 1470453088
Total Pages : 246 pages
Book Rating : 4.4/5 (74 download)
Download or read book Attractors Under Autonomous and Non-autonomous Perturbations written by Matheus C. Bortolan and published by American Mathematical Soc.. This book was released on 2020-05-29 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the attractor. This is done in both the autonomous (time independent) and non-autonomous (time dependent) framework in four distinct levels of approximation: the upper semicontinuity, lower semicontinuity, topological structural stability and geometrical structural stability. This book is aimed at graduate students and researchers interested in dissipative dynamical systems and stability theory, and requires only a basic background in metric spaces, functional analysis and, for the applications, techniques of ordinary and partial differential equations.
Author : Kevin P Knudson
Publisher : World Scientific Publishing Company
ISBN 13 : 9814630985
Total Pages : 196 pages
Book Rating : 4.8/5 (146 download)
Download or read book Morse Theory: Smooth And Discrete written by Kevin P Knudson and published by World Scientific Publishing Company. This book was released on 2015-05-29 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.
Author : Paul Biran
Publisher : Springer Science & Business Media
ISBN 13 : 1402042663
Total Pages : 476 pages
Book Rating : 4.4/5 (2 download)
Download or read book Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology written by Paul Biran and published by Springer Science & Business Media. This book was released on 2006-02-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume are contributions to the 43rd session of the Seminaire ́ de mathematiques ́ superieures ́ (SMS) on “Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.” This session took place at the Universite ́ de Montreal ́ in July 2004 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together young researchers from various parts of the world and to present to them some of the most signi cant recent advances in these areas. More than 77 mathematicians from 17 countries followed the 12 series of lectures and participated in the lively exchange of ideas. The lectures covered an ample spectrum of subjects which are re ected in the present volume: Morse theory and related techniques in in nite dim- sional spaces, Floer theory and its recent extensions and generalizations, Morse and Floer theory in relation to string topology, generating functions, structure of the group of Hamiltonian di?eomorphisms and related dynamical problems, applications to robotics and many others. We thank all our main speakers for their stimulating lectures and all p- ticipants for creating a friendly atmosphere during the meeting. We also thank Ms. Diane Belanger ́ , our administrative assistant, for her help with the organi- tion and Mr. Andre ́ Montpetit, our technical editor, for his help in the preparation of the volume.
Author : John Willard Milnor
Publisher : Princeton University Press
ISBN 13 : 9780691080086
Total Pages : 166 pages
Book Rating : 4.0/5 (8 download)
Download or read book Morse Theory written by John Willard Milnor and published by Princeton University Press. This book was released on 1963 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.' Milnor has published five books with Princeton University Press.
Author : Yukio Matsumoto
Publisher : American Mathematical Soc.
ISBN 13 : 9780821810224
Total Pages : 244 pages
Book Rating : 4.8/5 (12 download)
Download or read book An Introduction to Morse Theory written by Yukio Matsumoto and published by American Mathematical Soc.. This book was released on 2002 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite-dimensional Morse theory is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. However, finite-dimensional Morse theory has its own significance. This volume explains the finte-dimensional Morse theory.
Author : Andrei V. Pajitnov
Publisher : Walter de Gruyter
ISBN 13 : 3110197979
Total Pages : 463 pages
Book Rating : 4.1/5 (11 download)
Download or read book Circle-valued Morse Theory written by Andrei V. Pajitnov and published by Walter de Gruyter. This book was released on 2006-01-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1927 M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications and connections to many geometrical problems. The aim of the present book is to give a systematic treatment of the geometric foundations of a subfield of that topic, the circle-valued Morse functions, a subfield of Morse theory.
Author : J. Casares
Publisher : WIT Press
ISBN 13 : 1784663956
Total Pages : 266 pages
Book Rating : 4.7/5 (846 download)
Download or read book Environmental Impact V written by J. Casares and published by WIT Press. This book was released on 2020-08-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formed of a collection of papers from the 5th International Conference on Environmental and Economic Impact on Sustainable Development, the included works examine the most serious problems affecting sustainable development. The papers consider the impact of economic constraints on the environment, taking into account the social aspects as well as the over-use of natural resources. Uncontrolled development can also result in damage to the environment in terms of the release of toxic substances and hazardous waste. Therefore, decisions have to be made as to whether some forms of development are compatible with environmental protection, particularly in cases of possible serious contamination and toxicity. More constructive and progressive approaches are required to ensure sustainability. A major motivation is to learn from past failure, to avoid repeating similar mistakes, while attempting to prevent emerging threats to environmental and ecological systems. Fundamental to these concepts is the analysis of the inherent risk and the development of appropriate strategies.
Author : Dmitry N. Kozlov
Publisher : American Mathematical Soc.
ISBN 13 : 1470457016
Total Pages : 312 pages
Book Rating : 4.4/5 (74 download)
Download or read book Organized Collapse: An Introduction to Discrete Morse Theory written by Dmitry N. Kozlov and published by American Mathematical Soc.. This book was released on 2020-06-26 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations. The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach—the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching. The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.
Author : Augustin Banyaga
Publisher : Springer Science & Business Media
ISBN 13 : 140202696X
Total Pages : 330 pages
Book Rating : 4.4/5 (2 download)
Download or read book Lectures on Morse Homology written by Augustin Banyaga and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.
Author : Nicholas A. Scoville
Publisher : American Mathematical Soc.
ISBN 13 : 1470452987
Total Pages : 273 pages
Book Rating : 4.4/5 (74 download)
Download or read book Discrete Morse Theory written by Nicholas A. Scoville and published by American Mathematical Soc.. This book was released on 2019-09-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s, discrete Morse theory is a combinatorial analogue of Marston Morse's classical Morse theory. Its applications are vast, including applications to topological data analysis, combinatorics, and computer science. This book, the first one devoted solely to discrete Morse theory, serves as an introduction to the subject. Since the book restricts the study of discrete Morse theory to abstract simplicial complexes, a course in mathematical proof writing is the only prerequisite needed. Topics covered include simplicial complexes, simple homotopy, collapsibility, gradient vector fields, Hasse diagrams, simplicial homology, persistent homology, discrete Morse inequalities, the Morse complex, discrete Morse homology, and strong discrete Morse functions. Students of computer science will also find the book beneficial as it includes topics such as Boolean functions, evasiveness, and has a chapter devoted to some computational aspects of discrete Morse theory. The book is appropriate for a course in discrete Morse theory, a supplemental text to a course in algebraic topology or topological combinatorics, or an independent study.
Author : K.C. Chang
Publisher : Springer Science & Business Media
ISBN 13 : 1461203856
Total Pages : 323 pages
Book Rating : 4.4/5 (612 download)
Download or read book Infinite Dimensional Morse Theory and Multiple Solution Problems written by K.C. Chang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on my lecture notes "Infinite dimensional Morse theory and its applications", 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987. Since the aim of this monograph is to give a unified account of the topics in critical point theory, a considerable amount of new materials has been added. Some of them have never been published previously. The book is of interest both to researchers following the development of new results, and to people seeking an introduction into this theory. The main results are designed to be as self-contained as possible. And for the reader's convenience, some preliminary background information has been organized. The following people deserve special thanks for their direct roles in help ing to prepare this book. Prof. L. Nirenberg, who first introduced me to this field ten years ago, when I visited the Courant Institute of Math Sciences. Prof. A. Granas, who invited me to give a series of lectures at SMS, 1983, Montreal, and then the above notes, as the primary version of a part of the manuscript, which were published in the SMS collection. Prof. P. Rabinowitz, who provided much needed encouragement during the academic semester, and invited me to teach a semester graduate course after which the lecture notes became the second version of parts of this book. Professors A. Bahri and H. Brezis who suggested the publication of the book in the Birkhiiuser series.
