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| Author | : Eberhard Zeidler |
| Publisher | : Springer Verlag |
| Total Pages | : 934 |
| Release | : 1985-12-13 |
| Genre | : Mathematics |
| ISBN | : |
Download Nonlinear Functional Analysis and Its Applications Book in PDF, ePub and Kindle
From the reviews: "...has a flowing, coherent form and contains nice comments, overviews, and perspectives on the strategy and implementations of the considered procedures, and is concluded with complementary problems. Moreover, at the end of each volume there is a comprehensive and up-to-date bibliography. The work is clearly written and organized so that each chapter can be independently approached." (Zentralblatt für Mathematik und ihre Grenzgebiete) "The book is in fact dedicated to a large area of applications. Mathematicians, engineers, and natural scientists will find many interesting results." (Acta Applicandae Mathematicae)
| Author | : Antonio Ambrosetti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 203 |
| Release | : 2011-07-19 |
| Genre | : Mathematics |
| ISBN | : 0817681140 |
Download An Introduction to Nonlinear Functional Analysis and Elliptic Problems Book in PDF, ePub and Kindle
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
| Author | : Klaus Deimling |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 465 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 3662005476 |
Download Nonlinear Functional Analysis Book in PDF, ePub and Kindle
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods.
| Author | : Philippe G. Ciarlet |
| Publisher | : SIAM |
| Total Pages | : 847 |
| Release | : 2013-10-10 |
| Genre | : Mathematics |
| ISBN | : 1611972582 |
Download Linear and Nonlinear Functional Analysis with Applications Book in PDF, ePub and Kindle
This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.
| Author | : Louis B. Rall |
| Publisher | : Elsevier |
| Total Pages | : 595 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483272443 |
Download Nonlinear Functional Analysis and Applications Book in PDF, ePub and Kindle
Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.
| Author | : Nikolaos S. Papageorgiou |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 1003 |
| Release | : 2024-07-01 |
| Genre | : Mathematics |
| ISBN | : 3111288323 |
Download Applied Nonlinear Functional Analysis Book in PDF, ePub and Kindle
The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.
| Author | : E. Zeidler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 675 |
| Release | : 2013-12-11 |
| Genre | : Science |
| ISBN | : 146125020X |
Download Nonlinear Functional Analysis and its Applications Book in PDF, ePub and Kindle
As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.
| Author | : E. Zeidler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 739 |
| Release | : 2013-11-21 |
| Genre | : Mathematics |
| ISBN | : 1461209811 |
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This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
| Author | : E. Zeidler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 498 |
| Release | : 1989-12-11 |
| Genre | : Mathematics |
| ISBN | : 9780387968025 |
Download Nonlinear Functional Analysis and Its Applications Book in PDF, ePub and Kindle
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
| Author | : S. Kesavan |
| Publisher | : Springer |
| Total Pages | : 188 |
| Release | : 2004-01-15 |
| Genre | : Mathematics |
| ISBN | : 9386279215 |
Download Nonlinear Functional Analysis Book in PDF, ePub and Kindle
