Critical Point Theory In Global Analysis And Differential Topology
DOWNLOAD
Download Critical Point Theory In Global Analysis And Differential Topology PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Critical Point Theory In Global Analysis And Differential Topology book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Critical Point Theory In Global Analysis And Differential Topology
DOWNLOAD
Author :
language : en
Publisher: Academic Press
Release Date : 2014-05-14
Critical Point Theory In Global Analysis And Differential Topology written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
Critical Point Theory in Global Analysis and Differential Topology
Critical Point Theory In Global Analysis And Differential Topology
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1969
Critical Point Theory In Global Analysis And Differential Topology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Critical point categories.
Sign Changing Critical Point Theory
DOWNLOAD
Author : Wenming Zou
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15
Sign Changing Critical Point Theory written by Wenming Zou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-15 with Mathematics categories.
Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs. This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis.
Critical Point Theory And Its Applications
DOWNLOAD
Author : Wenming Zou
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-10
Critical Point Theory And Its Applications written by Wenming Zou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-10 with Mathematics categories.
This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.
Critical Point Theory
DOWNLOAD
Author : Martin Schechter
language : en
Publisher: Springer Nature
Release Date : 2020-05-30
Critical Point Theory written by Martin Schechter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-30 with Mathematics categories.
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.
Introduction To Global Analysis
DOWNLOAD
Author : Donald W. Kahn
language : en
Publisher: Courier Corporation
Release Date : 2007-03-29
Introduction To Global Analysis written by Donald W. Kahn and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-29 with Mathematics categories.
This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.
From Topology To Computation Proceedings Of The Smalefest
DOWNLOAD
Author : Morris W. Hirsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
From Topology To Computation Proceedings Of The Smalefest written by Morris W. Hirsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.
Differential Topology
DOWNLOAD
Author : Amiya Mukherjee
language : en
Publisher: Birkhäuser
Release Date : 2015-06-30
Differential Topology written by Amiya Mukherjee and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-30 with Mathematics categories.
This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem and the generalised Poincaré conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India. The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis and algebraic topology is recommended.
Linking Methods In Critical Point Theory
DOWNLOAD
Author : Martin Schechter
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linking Methods In Critical Point Theory written by Martin Schechter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
As is well known, The Great Divide (a.k.a. The Continental Divide) is formed by the Rocky Mountains stretching from north to south across North America. It creates a virtual "stone wall" so high that wind, rain, snow, etc. cannot cross it. This keeps the weather distinct on both sides. Since railroad trains cannot climb steep grades and tunnels through these mountains are almost formidable, the Canadian Pacific Railroad searched for a mountain pass providing the lowest grade for its tracks. Employees discovered a suitable mountain pass, called the Kicking Horse Pass, el. 5404 ft., near Banff, Alberta. (One can speculate as to the reason for the name.) This pass is also used by the Trans-Canada Highway. At the highest point of the pass the railroad tracks are horizontal with mountains rising on both sides. A mountain stream divides into two branches, one flowing into the Atlantic Ocean and the other into the Pacific. One can literally stand (as the author did) with one foot in the Atlantic Ocean and the other in the Pacific. The author has observed many mountain passes in the Rocky Mountains and Alps. What connections do mountain passes have with nonlinear partial dif ferential equations? To find out, read on ...
Topics In Mathematical Analysis And Differential Geometry
DOWNLOAD
Author : Nicolas K. Laos
language : en
Publisher: World Scientific
Release Date : 1998
Topics In Mathematical Analysis And Differential Geometry written by Nicolas K. Laos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.