Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Topics In Critical Point Theory
Download Topics In Critical Point Theory full books in PDF, epub, and Kindle. Read online Topics In Critical Point Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Topics in Critical Point Theory by : Kanishka Perera
Download or read book Topics in Critical Point Theory written by Kanishka Perera and published by Cambridge University Press. This book was released on 2013 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to critical point theory and shows how it solves many difficult problems.
Book Synopsis Critical Point Theory and Its Applications by : Wenming Zou
Download or read book Critical Point Theory and Its Applications written by Wenming Zou and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Minimax Methods in Critical Point Theory with Applications to Differential Equations by : Paul H. Rabinowitz
Download or read book Minimax Methods in Critical Point Theory with Applications to Differential Equations written by Paul H. Rabinowitz and published by American Mathematical Soc.. This book was released on 1986-07-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple critical points for functionals invariant under a group of symmetries, perturbations from symmetry, and variational methods in bifurcation theory. The book requires some background in functional analysis and differential equations, especially elliptic partial differential equations. It is addressed to mathematicians interested in differential equations and/or nonlinear functional analysis, particularly critical point theory.
Book Synopsis Critical Point Theory and Submanifold Geometry by : Richard S. Palais
Download or read book Critical Point Theory and Submanifold Geometry written by Richard S. Palais and published by Springer. This book was released on 2006-11-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linking Methods in Critical Point Theory by : Martin Schechter
Download or read book Linking Methods in Critical Point Theory written by Martin Schechter and published by Springer Science & Business Media. This book was released on 1999-07-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ...
Book Synopsis Critical Point Theory by : Martin Schechter
Download or read book Critical Point Theory written by Martin Schechter and published by Springer Nature. This book was released on 2020-05-30 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Critical Point Theory and Hamiltonian Systems by : Jean Mawhin
Download or read book Critical Point Theory and Hamiltonian Systems written by Jean Mawhin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: FACHGEB The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds. Each technique is illustrated by applications to the discussion of the existence, multiplicity, and bifurcation of the periodic solutions of Hamiltonian systems. Among the treated questions are the periodic solutions with fixed period or fixed energy of autonomous systems, the existence of subharmonics in the non-autonomous case, the asymptotically linear Hamiltonian systems, free and forced superlinear problems. Application of those results to the equations of mechanical pendulum, to Josephson systems of solid state physics and to questions from celestial mechanics are given. The aim of the book is to introduce a reader familiar to more classical techniques of ordinary differential equations to the powerful approach of modern critical point theory. The style of the exposition has been adapted to this goal. The new topological tools are introduced in a progressive but detailed way and immediately applied to differential equation problems. The abstract tools can also be applied to partial differential equations and the reader will also find the basic references in this direction in the bibliography of more than 500 items which concludes the book. ERSCHEIN
Download or read book The Critical Point written by C Domb and published by CRC Press. This book was released on 1996-02-20 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between liquids and gases engaged the attention of a number of distinguished scientists in the mid 19th Century. In a definitive paper published in 1869, Thomas Andrews described experiments he performed on carbon dioxide and from which he concluded that a critical temperature exists below which liquids and gases are distinct phase
Book Synopsis The Cortex and the Critical Point by : John M. Beggs
Download or read book The Cortex and the Critical Point written by John M. Beggs and published by MIT Press. This book was released on 2022-08-30 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How the cerebral cortex operates near a critical phase transition point for optimum performance. Individual neurons have limited computational powers, but when they work together, it is almost like magic. Firing synchronously and then breaking off to improvise by themselves, they can be paradoxically both independent and interdependent. This happens near the critical point: when neurons are poised between a phase where activity is damped and a phase where it is amplified, where information processing is optimized, and complex emergent activity patterns arise. The claim that neurons in the cortex work best when they operate near the critical point is known as the criticality hypothesis. In this book John Beggs—one of the pioneers of this hypothesis—offers an introduction to the critical point and its relevance to the brain. Drawing on recent experimental evidence, Beggs first explains the main ideas underlying the criticality hypotheses and emergent phenomena. He then discusses the critical point and its two main consequences—first, scale-free properties that confer optimum information processing; and second, universality, or the idea that complex emergent phenomena, like that seen near the critical point, can be explained by relatively simple models that are applicable across species and scale. Finally, Beggs considers future directions for the field, including research on homeostatic regulation, quasicriticality, and the expansion of the cortex and intelligence. An appendix provides technical material; many chapters include exercises that use freely available code and data sets.
Book Synopsis Critical Point Theory in Global Analysis and Differential Topology by :
Download or read book Critical Point Theory in Global Analysis and Differential Topology written by and published by Academic Press. This book was released on 2014-05-14 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical Point Theory in Global Analysis and Differential Topology
Book Synopsis A Primer to the Theory of Critical Phenomena by : Jurgen M. Honig
Download or read book A Primer to the Theory of Critical Phenomena written by Jurgen M. Honig and published by Elsevier. This book was released on 2018-02-05 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities. - Provides a thorough and accessible treatment of the fundamentals of critical phenomena - Offers an in-depth exposition on renormalization and field theory techniques - Includes experimental observations of critical effects - Includes live examples illustrating the applications of the theoretical material
Book Synopsis Duality and Perturbation Methods in Critical Point Theory by : N. Ghoussoub
Download or read book Duality and Perturbation Methods in Critical Point Theory written by N. Ghoussoub and published by Cambridge University Press. This book was released on 2008-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book self-contained.
Book Synopsis The Idea of a Critical Theory by : Raymond Geuss
Download or read book The Idea of a Critical Theory written by Raymond Geuss and published by Cambridge University Press. This book was released on 1981-10-30 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this series is to help make contemporary European philosophy intelligible to a wider audience in the English-speaking world, and to suggest its interest and importance in particular to those trained in analytical philosophy.
Book Synopsis Linking Methods in Critical Point Theory by : Martin Schechter
Download or read book Linking Methods in Critical Point Theory written by Martin Schechter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ...
Book Synopsis Transitional Subjects by : Amy Allen
Download or read book Transitional Subjects written by Amy Allen and published by Columbia University Press. This book was released on 2019-08-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical social theory has long been marked by a deep, creative, and productive relationship with psychoanalysis. Whereas Freud and Fromm were important cornerstones for the early Frankfurt School, recent thinkers have drawn on the object-relations school of psychoanalysis. Transitional Subjects is the first book-length collection devoted to the engagement of critical theory with the work of Melanie Klein, Donald Winnicott, and other members of this school. Featuring contributions from some of the leading figures working in both of these fields, including Axel Honneth, Joel Whitebook, Noëlle McAfee, Sara Beardsworth, and C. Fred Alford, it provides a synoptic overview of current research at the intersection of these two theoretical traditions while also opening up space for further innovations. Transitional Subjects offers a range of perspectives on the critical potential of object-relations psychoanalysis, including feminist and Marxist views, to offer valuable insight into such fraught social issues as aggression, narcissism, “progress,” and torture. The productive dialogue that emerges augments our understanding of the self as intersubjectively and socially constituted and of contemporary “social pathologies.” Transitional Subjects shows how critical theory and object-relations psychoanalysis, considered together, have not only enriched critical theory but also invigorated psychoanalysis.
Book Synopsis The Physics of Phase Transitions by : Pierre Papon
Download or read book The Physics of Phase Transitions written by Pierre Papon and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.
Book Synopsis Duality and Perturbation Methods in Critical Point Theory by : Nassif Ghoussoub
Download or read book Duality and Perturbation Methods in Critical Point Theory written by Nassif Ghoussoub and published by Cambridge University Press. This book was released on 1993-08-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization.
