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Author : Richard S. Palais
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.F/5 ( download)
Download or read book Foundations of Global Non-linear Analysis written by Richard S. Palais and published by . This book was released on 1968 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Themistocles M. Rassias
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (44 download)
Download or read book Foundations of Global Nonlinear Analysis written by Themistocles M. Rassias and published by . This book was released on 1986 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Themistocles M Rassias
Publisher : World Scientific
ISBN 13 : 9814513652
Total Pages : 571 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonlinear Analysis written by Themistocles M Rassias and published by World Scientific. This book was released on 1988-01-01 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Fixed Point Theory and Nonlinear Problems (Th Rassias)Global Linearization Iterative Methods and Nonlinear Partial Differential Equations III (M Altman)On Generalized Power Series and Generalized Operational Calculus and Its Application (M Al-Bassam)Multiple Solutions to Parametrized Nonlinear Differential Systems from Nielsen Fixed Point Theory (R Brown)The topology of Ind-Affine Sets (P Cherenack)Almost Approximately Polynomial Functions (P Cholewa)Cohomology Classes and Foliated Manifolds (M Craioveanu & M Puta)Bifurcation and Nonlinear Instability in Applied Mathematics (L Debnath)The Stability of Weakly Additive Functional (H Drljevic)Index Theory for G-Bundle Pairs with Applications to Borsuk-Ulam Type Theorems for G-Sphere Bundles (E Fadell & S Husseini)Nonlinear Approximation and Moment Problem (J S Hwang & G D Lin)Periods in Equicontinuous Topological Dynamical Systems (A Iwanik et al.)Continuation Theorems for Semi-Linear Equations in Banach Spaces: A Survey (J Mawhin & K Rybakowski)On Contractifiable Self-Mappings (P Meyers)Normal Structures and Nonexpansive Mappings in Banach Spaces (J Nelson et al.): Survey on Uniqueness and Classification Theorems for Minimal Surfaces (Th Rassias)Contractive Definitions (B Rhoades)On KY Fan's Theorem and Its Applications (S Singh)Fixed Points of Amenable Semigroups of Differentiable Operators (P Soardi)Research Problems on Nonlinear Equations (Th Rassias) Readership: Mathematicians and applied scientists. Keywords:Nonlinear Analysis;Nonlinear Partial Differential Equations III;Polynomial Functions;Cohomology Classes;Foliated Manifolds;Topological Dynamical Systems;Minimal Surfaces;Differentiable Operators;Nonlinear Equations
Author : Marián Fabian
Publisher : Springer Science & Business Media
ISBN 13 : 1441975152
Total Pages : 820 pages
Book Rating : 4.4/5 (419 download)
Download or read book Banach Space Theory written by Marián Fabian and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
Author : Nihon Sūgakkai
Publisher : MIT Press
ISBN 13 : 9780262590204
Total Pages : 1180 pages
Book Rating : 4.5/5 (92 download)
Download or read book Encyclopedic Dictionary of Mathematics written by Nihon Sūgakkai and published by MIT Press. This book was released on 1993 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A.N. v.2. O.Z. Apendices and indexes.
Author : Andreas Kriegl
Publisher : American Mathematical Soc.
ISBN 13 : 0821807803
Total Pages : 631 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Convenient Setting of Global Analysis written by Andreas Kriegl and published by American Mathematical Soc.. This book was released on 1997 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Donald H. Hyers
Publisher : World Scientific
ISBN 13 : 9789810225346
Total Pages : 724 pages
Book Rating : 4.2/5 (253 download)
Download or read book Topics in Nonlinear Analysis & Applications written by Donald H. Hyers and published by World Scientific. This book was released on 1997 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.
Author : Marvin J. Greenberg
Publisher : CRC Press
ISBN 13 : 0429970951
Total Pages : 332 pages
Book Rating : 4.4/5 (299 download)
Download or read book Algebraic Topology written by Marvin J. Greenberg and published by CRC Press. This book was released on 2018-03-05 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great first book on algebraic topology. Introduces (co)homology through singular theory.
Author : Thierry Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540607526
Total Pages : 422 pages
Book Rating : 4.6/5 (75 download)
Download or read book Some Nonlinear Problems in Riemannian Geometry written by Thierry Aubin and published by Springer Science & Business Media. This book was released on 1998-06-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods. It explores important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved.
Author : Themistocles M Rassias
Publisher : World Scientific
ISBN 13 : 9814506400
Total Pages : 350 pages
Book Rating : 4.8/5 (145 download)
Download or read book The Problem Of Plateau: A Tribute To Jesse Douglas And Tibor Rado written by Themistocles M Rassias and published by World Scientific. This book was released on 1992-12-21 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Radó. The contributing papers provide insight and perspective on various problems in modern topics of Calculus of Variations, Global Differential Geometry and Global Nonlinear Analysis as related to the problem of Plateau.
Author : Yuri E. Gliklikh
Publisher : Springer Science & Business Media
ISBN 13 : 9401586349
Total Pages : 207 pages
Book Rating : 4.4/5 (15 download)
Download or read book Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics written by Yuri E. Gliklikh and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics. In particular, during the last decades a new branch of Global Analysis, Stochastic Differential Geometry, was formed to meet the needs of Mathematical Physics. It deals with a lot of various second order differential equations on finite and infinite-dimensional manifolds arising in Physics, and its validity is based on the deep inter-relation between modem Differential Geometry and certain parts of the Theory of Stochastic Processes, discovered not so long ago. The foundation of our topic is presented in the contemporary mathematical literature by a lot of publications devoted to certain parts of the above-mentioned themes and connected with the scope of material of this book. There exist some monographs on Stochastic Differential Equations on Manifolds (e. g. [9,36,38,87]) based on the Stratonovich approach. In [7] there is a detailed description of It6 equations on manifolds in Belopolskaya-Dalecky form. Nelson's book [94] deals with Stochastic Mechanics and mean derivatives on Riemannian Manifolds. The books and survey papers on the Lagrange approach to Hydrodynamics [2,31,73,88], etc. , give good presentations of the use of infinite-dimensional ordinary differential geometry in ideal hydrodynamics. We should also refer here to [89,102], to the previous books by the author [53,64], and to many others.
Author : Robert W. Carroll
Publisher : Courier Corporation
ISBN 13 : 0486263282
Total Pages : 385 pages
Book Rating : 4.4/5 (862 download)
Download or read book Abstract Methods in Partial Differential Equations written by Robert W. Carroll and published by Courier Corporation. This book was released on 2013-05-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition.
Author : M.-E. Craioveanu
Publisher : Springer Science & Business Media
ISBN 13 : 940172475X
Total Pages : 447 pages
Book Rating : 4.4/5 (17 download)
Download or read book Old and New Aspects in Spectral Geometry written by M.-E. Craioveanu and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects. Among them are the Laplace-Beltrami opera tor and the Hodge-de Rham operators, which are natural [that is, they commute with the isometries of (M,g)], elliptic, self-adjoint second order differential operators acting on the space of real valued smooth functions on M and the spaces of smooth differential forms on M, respectively. If M is closed, the spectrum of each such operator is an infinite divergent sequence of real numbers, each eigenvalue being repeated according to its finite multiplicity. Spectral Geometry is concerned with the spectra of these operators, also the extent to which these spectra determine the geometry of (M, g) and the topology of M. This problem has been translated by several authors (most notably M. Kac). into the col loquial question "Can one hear the shape of a manifold?" because of its analogy with the wave equation. This terminology was inspired from earlier results of H. Weyl. It is known that the above spectra cannot completely determine either the geometry of (M , g) or the topology of M. For instance, there are examples of pairs of closed Riemannian manifolds with the same spectra corresponding to the Laplace-Beltrami operators, but which differ substantially in their geometry and which are even not homotopically equiva lent.
Author : A. T. Fomenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841167
Total Pages : 364 pages
Book Rating : 4.8/5 (411 download)
Download or read book Minimal Surfaces written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 1993 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent results from a group focusing on minimal surfaces in the Moscow State University seminar on modern geometrical methods, headed by A. V. Bolsinov, A. T. Fomenko, and V. V. Trofimov. The papers collected here fall into three areas: one-dimensional minimal graphs on Riemannian surfaces and the Steiner problem, two-dimensional minimal surfaces and surfaces of constant mean curvature in three-dimensional Euclidean space, and multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. The volume opens with an exposition of several important problems in the modern theory of minimal surfaces that will be of interest to newcomers to the field. Prepared with attention to clarity and accessibility, these papers will appeal to mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems.
Author : Piotr Antosik
Publisher : World Scientific
ISBN 13 : 9814611719
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)
Download or read book Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski written by Piotr Antosik and published by World Scientific. This book was released on 1990-09-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Author : Melvyn Stuart Berger
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (44 download)
Download or read book Perspectives in Nonlinearity written by Melvyn Stuart Berger and published by . This book was released on 1968 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures given at the University of Minnesota and the Courant Institute of Mathematical Sciences, New York University, in 1966 and 1967. Our aim has been to present some qualitative aspects of nonlinear analysis, which we think are important, in as simple and direct a manner as possible. Thus we have neither striven for results of the utmost generality nor complicated the text by introducing an excess number of new concepts. In this way we hope to make the ideas presented accessible to persons who enjoy mathematics and its applications but are not specialists in nonlinear analysis. To accomplish this goal in a small book we have had to sketch the ideas of a few proofs and to specialize the general theory of nonlinear analysis on finite and infinite dimensional differentiable manifolds. The interested reader will find this theory discussed in the monographs, Lectures on Nonlinear Functional Analysis by J. T. Schwartz, and Foundations of Global Nonlinear Analysis by R. S. Palais. Furthermore, our choice of material was necessarily selective, for example, iterative results such as Newton's method and Nash's implicit function theorem have been omitted. Nonetheless we believe that the material discussed here has sufficient beauty to induce the reader to further excursions into nonlinear analysis. Our text is divided into four chapters and two appendices. Chapter 1 is intended to be a partial answer to the question: What are some of the problems of nonlinear analysis and how have they been studied in previous generations? Chapter 2 introduces the concepts of the degree of a continuous mapping, and the theory of critical points of real-valued functions in finite dimensional Euclidean spaces Rn . In Chapter 3 we show how the ideas of Chapter 2 can be carried over to infinite dimensional spaces. Appendices 1 and 2 at the end of the book include some preliminary material necessary to the understanding of Chapters 2 and 1. In Chapter 4 we select a few specific nonlinear problems and indicate just how the methods of the previous chapters can be used to study these problems. The first-mentioned problem in Chapter 4, global univalence, is of great interest outside of mathematics (for example, to mathematical economists in the study of international trade and to applied mathematicians studying elastic deformations). Similarly the topics of differential equations (ordinary and partial) discussed in Chapter 4 are basic to the understanding of physical processes of nature.
Author : Pavel Drabek
Publisher : Springer Science & Business Media
ISBN 13 : 3764381477
Total Pages : 576 pages
Book Rating : 4.7/5 (643 download)
Download or read book Methods of Nonlinear Analysis written by Pavel Drabek and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book.
