A Journey Through Nonlinear Functional Analysis And Its Applications
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A Journey Through Nonlinear Functional Analysis And Its Applications
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
A Journey Through Nonlinear Functional Analysis And Its Applications written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In the realm of mathematics, nonlinear functional analysis stands as a beacon of innovation, illuminating the complexities of nonlinear operators and their far-reaching applications. This comprehensive volume, "A Journey Through Nonlinear Functional Analysis and Its Applications," invites readers to embark on an enlightening odyssey into this captivating mathematical landscape. With meticulous explanations, insightful examples, and a captivating narrative, this book unveils the elegance and practical significance of nonlinear functional analysis. Its meticulously crafted chapters guide readers through the fundamental concepts and techniques of nonlinear functional analysis, laying a solid foundation for understanding its diverse applications. Delving into a myriad of fields, this book showcases the transformative power of nonlinear functional analysis in addressing intricate problems in mathematical physics, engineering, economics, finance, and beyond. Readers will discover how nonlinear functional analysis empowers researchers and practitioners to gain deeper insights into complex phenomena, leading to groundbreaking advancements in various disciplines. Written with both clarity and rigor, this book caters to a broad audience, encompassing students, researchers, and practitioners seeking to expand their knowledge and expertise in nonlinear functional analysis. Its comprehensive coverage, engaging writing style, and abundance of illustrative examples make it an invaluable resource for anyone seeking to master this powerful mathematical tool. Throughout this intellectual journey, readers will gain a comprehensive grasp of nonlinear functional analysis and its far-reaching applications, empowering them to tackle intricate problems with renewed confidence and ingenuity. "A Journey Through Nonlinear Functional Analysis and Its Applications" is an essential guide for anyone seeking to delve into the depths of this captivating mathematical field and unlock its transformative potential. If you like this book, write a review!
Nonlinear Functional Analysis And Its Applications
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Author : E. Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Nonlinear Functional Analysis And Its Applications written by E. Zeidler 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 2013-12-01 with Mathematics categories.
The main concern in all scientific work must be the human being himsel[ This, one should never forget among all those diagrams and equations. Albert Einstein This volume is part of a comprehensive presentation of nonlinear functional analysis, the basic content of which has been outlined in the Preface of Part I. A Table of Contents for all five volumes may also be found in Part I. The Part IV and the following Part V contain applications to mathematical present physics. Our goals are the following: (i) A detailed motivation of the basic equations in important disciplines of theoretical physics. (ii) A discussion of particular problems which have played a significant role in the development of physics, and through which important mathe matical and physical insight may be gained. (iii) A combination of classical and modern ideas. (iv) An attempt to build a bridge between the language and thoughts of physicists and mathematicians. Weshall always try to advance as soon as possible to theheart ofthe problern under consideration and to concentrate on the basic ideas.
Numerical Methods And Applications
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Author : Todor Boyanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-20
Numerical Methods And Applications written by Todor Boyanov 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 2007-02-20 with Computers categories.
This book constitutes the thoroughly refereed post-proceedings of the 6th International Conference on Numerical Methods and Applications, NMA 2006, held in Borovets, Bulgaria, in August 2006. The 84 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 111 submissions. The papers are organized in topical sections on numerical methods for hyperbolic problems, robust preconditioning solution methods, Monte Carlo and quasi-Monte Carlo for diverse applications, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, large-scale computations in environmental modelling, and contributed talks.
Functional Analysis For The Applied Mathematician
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Author : Todd Arbogast
language : en
Publisher: CRC Press
Release Date : 2025-02-20
Functional Analysis For The Applied Mathematician written by Todd Arbogast and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Mathematics categories.
Functional Analysis for the Applied Mathematician is a self-contained volume providing a rigorous introduction to functional analysis and its applications. Students from mathematics, science, engineering, and certain social science and interdisciplinary programs will benefit from the material. It is accessible to graduate and advanced undergraduate students with a solid background in undergraduate mathematics and an appreciation of mathematical rigor. Students are called upon to actively engage with the material, to the point of proving some of the basic results or their straightforward generalizations, both within the text and within the generous set of exercises. Features: Replete with exercises and examples Suitable for graduate students and advanced undergraduates Develops the basics of functional analysis, exploring the interplay between algebraic linear space theory and topology Presents a variety of applications, often dealing with partial differential equations and their numerical approximation Doubles as a reference book with an extensive index listing the concepts and results
An Introduction To Nonlinear Analysis
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Author : Martin Schechter
language : en
Publisher: Cambridge University Press
Release Date : 2004
An Introduction To Nonlinear Analysis written by Martin Schechter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.
Catalogue
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 2000
Catalogue written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
A Mathematical Journey Through Differential Equations Of Physics
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Author : Max Lein
language : en
Publisher: World Scientific
Release Date : 2022-09-16
A Mathematical Journey Through Differential Equations Of Physics written by Max Lein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Science categories.
Mathematics is the language of physics, and over time physicists have developed their own dialect. The main purpose of this book is to bridge this language barrier, and introduce the readers to the beauty of mathematical physics. It shows how to combine the strengths of both approaches: physicists often arrive at interesting conjectures based on good intuition, which can serve as the starting point of interesting mathematics. Conversely, mathematicians can more easily see commonalities between very different fields (such as quantum mechanics and electromagnetism), and employ more advanced tools.Rather than focusing on a particular topic, the book showcases conceptual and mathematical commonalities across different physical theories. It translates physical problems to concrete mathematical questions, shows how to answer them and explains how to interpret the answers physically. For example, if two Hamiltonians are close, why are their dynamics similar?The book alternates between mathematics- and physics-centric chapters, and includes plenty of concrete examples from physics as well as 76 exercises with solutions. It exploits that readers from either end are familiar with some of the material already. The mathematics-centric chapters provide the necessary background to make physical concepts mathematically precise and establish basic facts. And each physics-centric chapter introduces physical theories in a way that is more friendly to mathematicians.As the book progresses, advanced material is sprinkled in to showcase how mathematics and physics augment one another. Some of these examples are based on recent publications and include material which has not been covered in other textbooks. This is to keep it interesting for the readers.
Applied Functional Analysis
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applied Functional Analysis written by Eberhard Zeidler 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.
A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability. Albert Einstein There are two different ways of teaching mathematics, namely, (i) the systematic way, and (ii) the application-oriented way. More precisely, by (i), I mean a systematic presentation of the material governed by the desire for mathematical perfection and completeness of the results. In contrast to (i), approach (ii) starts out from the question "What are the most important applications?" and then tries to answer this question as quickly as possible. Here, one walks directly on the main road and does not wander into all the nice and interesting side roads. The present book is based on the second approach. It is addressed to undergraduate and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems that are related to our real world and that have played an important role in the history of mathematics. The reader should sense that the theory is being developed, not simply for its own sake, but for the effective solution of concrete problems. viii Preface This introduction to functional analysis is divided into the following two parts: Part I: Applications to mathematical physics (the present AMS Vol. 108); Part II: Main principles and their applications (AMS Vol. 109).
A Journey Through The History Of Numerical Linear Algebra
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Author : Claude Brezinski
language : en
Publisher: SIAM
Release Date : 2022-12-06
A Journey Through The History Of Numerical Linear Algebra written by Claude Brezinski and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-06 with Mathematics categories.
This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.
A Journey Into The Nonlinear World
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Author : Jüri Engelbrecht
language : en
Publisher: Springer Nature
Release Date : 2024-07-30
A Journey Into The Nonlinear World written by Jüri Engelbrecht and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-30 with Mathematics categories.
This is a personal story about being involved in the study of nonlinear phenomena for more than half a century. The focus is on the development of ideas and the resulting knowledge. This is the visible part of research, but much is usually hidden. The author describes how the ideas were generated and how an “invisible college” of friends and colleagues has emerged. The presentation is spiced by thoughts about the beauty of science and philosophical considerations on the complex world, where nonlinear interactions play an important role. The book is in some sense a biography but not so much about the personal life of the author – it is about science and its actors. Based on the author's experience in many European research centres and science policy institutions, it reflects on the development of knowledge in nonlinear dynamics as well as science policy actions over the second half of the 20th century and the first quarter of the 21st century. Graduates and postgraduates interested in the progress of research will find the book particularly engaging.