linear functional analysis

Nonlinear Functional Analysis【電子書籍】 Klaus DeimlingTheoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators【電子書籍】 Tailen HsingLinear Functional Analysis for Scientists and Engineers ハードカバー Limaye, Balmohan V.Basic Methods of Linear Functional Analysis【電子書籍】 John D. PryceNonlinearity and Functional Analysis Lectures on Nonlinear Problems in Mathematical Analysis【電子書籍】 Melvyn S. BergerNonlinear Functional Analysis: A First Course【電子書籍】 S. KesavanLectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University【電子書籍】 Maxim Olegovich KorpusovLinear Functional Analysis for Scientists and Engineers【電子書籍】 Balmohan V. Limaye
 

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  • <p>Hailed as "eminently suitable as a text for a graduate course" by the <em>Bulletin of the American Mathematical Society,</em> this volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises.<br /> Starting with coverage of the development of the Brower degree and its applications, the text proceeds to examinations of degree mappings for infinite dimensional spaces and surveys of monotone and accretive mappings. Subsequent chapters explore the inverse function theory, the implicit function theory, and Newton's methods as well as fixed-point theory, solutions to cones, and the Galerkin method of studying nonlinear equations. The final chapters address extremal problemsーincluding convexity, Lagrange multipliers, and mini-max theoremsーand offer an introduction into bifurcation theory. Suitable for graduate-lev...
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  • <p><em>Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators</em> provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA).</p> <p>The self?contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on Hilbert spaces and perturbation theory for both self?adjoint and non self?adjoint operators. The probabilistic foundation for FDA is described from the perspective of random elements in Hilbert spaces as well as from the viewpoint of continuous time stochastic processes. Nonparametric estimation approaches including kernel and regularized smoothing are also introduced. These tools are then used to investigate the properties of estimators for the mean element, covariance operators, principal components, regression ...
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  • 【30日間返品保証】商品説明に誤りがある場合は、無条件で弊社送料負担で商品到着後30日間返品を承ります。ご満足のいく取引となるよう精一杯対応させていただきます。※下記に商品説明およびコンディション詳細、出荷予定・配送方法・お届けまでの期間について記載しています。ご確認の上ご購入ください。【インボイス制度対応済み】当社ではインボイス制度に対応した適格請求書発行事業者番号(通称:T番号・登録番号)を印字した納品書(明細書)を商品に同梱してお送りしております。こちらをご利用いただくことで、税務申告時や確定申告時に消費税額控除を受けることが可能になります。また、適格請求書発行事業者番号の入った領収書・請求書をご注文履歴からダウンロードして頂くこともできます(宛名はご希望のものを入力して頂けます)。■商品名■Linear Functional Analysis for Scientists and Engineers■出版社■Springer■著者■Limaye Balmohan V.■発行年■2016/06/24■ISBN10■9811009708■ISBN13■9789811009709■コンディションランク■非常に良いコンディションランク説明ほぼ新品:未使用に近い状態の商品非常に良い:傷や汚れが少なくきれいな状態の商品良い:多少...
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  • <p>An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.<br /> Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商...
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  • <p><em>Nonlinearity and Functional Analysis</em> is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences.</p> <p>This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter depen...
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  • <p>The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk's theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of the study of nonlinear differential equations based on the facts of nonlinear analysis are presented in detail. This book may serve as an introductory textbook for students and undergraduates specializing in modern mathematical physics.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. The purpose of the text is to present the basic aspects of functional analysis to this varied audience, keeping in mind the considerations of applicability. A novelty of this book is the inclusion of a result by Zabreiko, which states that every countably subadditive seminorm on a Banach space is continuous. Several major theorems in functional analysis are easy consequences of this result.</p> <p>The entire book can be used as a textbook for an introductory course in functional analysis without having to make any specific selection from the topics presented here. Basic notions in the setting of a metric space are defined interms of seq...
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