Nonlinear Functional Analysis

The fourth 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

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

Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitut

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

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

The fourth 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

Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinea

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 comple

The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with eac

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many i

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for ind

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 th

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for ind

Functional Clothing Design comprehensively explores how wearable products are designed and created for a specific purpose using the latest technological innovations. This cutting-edge text is ideal f

This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Functional programming (函數式程式設計) 是一種已有六十年歷史的程式設計範式，為何現在變得越來越重要？這是因為隨著各種連網設備 (如行動裝置) 和雲端服務的普及，多程序透過網路交換訊息已成為常態，因此分散式系統的開發變得至關重要。分散式系統軟體開發的複雜性往往導致開發過程容易陷入混亂，程式碼盤根錯節難以除錯維護與擴展，成為揮之不去卻又不敢動的痛處。而 functional programming 的簡約風格因此受到廣泛關注。這種設計範式強調使用函式來構建應用程式，程式碼清晰又容易維護，亦能解決分散式系統多執行緒的問題。除了專門的函數式語言之外，Python、Java、JavaScript、C#、C++、Go 和 Rust 等知名語言的新版中，也因應趨勢增強了對 functional programming 的支援。只要建立了這種思維方式，你就可以應用在自己的程式語言中。市面上與 functional programming 相關的書籍 (主要為英文書) 通常由學者撰寫，內容偏重理論，而在大型實務專案經驗上顯得不足。這類書中的範例大多過於簡單，未能涉及實際軟體架構問題。與此相反，本書作者擁有二十年在產業界實際運用 functional programming 的經驗，從產業角度出發，旨在幫助那些在軟體工程實踐中遇到困難的工程師重新思考。即使你的目的不是分散式系統，學習 functional programming 的思維都能夠幫助你在撰寫任何程式時想得更周到。由於 functional programming 的特點 — 無 side effects（額外作用）和資料的不可變性 — 使得它非常適用於開發網路程式，在這種環境中，資料一致性和狀態管理是關鍵挑戰。本書透過 concurrency primitives（併發基本工具）實作、繪製時間線圖、分析並解決併發操作中的插緒問題，有效處理狀態變化和 bug，從而構建可靠的分散式系統程式。本書特色: ●作者從產業界的視角出發，旨在幫助那些陷入困境的軟體工程師，重新審視並採納 functional programming 程式設計方法。●為了更貼近軟體工程師的實際狀況，書中以廣泛熟知的 JavaScript 語言做示範。雖然 JavaScript 不是最理想的函數式語言，但這一點

Facebook and Conversation Analysis investigates the structure and organization of comments on a major social media platform, Facebook, using applied conversation analysis methods. Providing previously

The Routledge Handbook of Discourse Analysis covers the major approaches to Discourse Analysis from Critical Discourse Analysis to Multimodal Discourse Analysis and their applications in key education

Published, posthumously, this volume is both a summing up and a reformulation of Malinowski's functional theory of culture.

First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.

This text emphasizes nonlinear models for a course in time series analysis. After introducing stochastic processes, Markov chains, Poisson processes, and ARMA models, the authors cover functional auto

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes the fundamental ideas of the past two decades of research, ca

Spectral theory for linear operators has become an important part of functional analysis and operator theory. This text seeks to define a spectrum for nonlinear operators that preserves the useful pro

This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.

The field of forensic DNA analysis has grown immensely in the past two decades and genotyping of biological samples is now routinely performed in human identification (HID) laboratories. Application areas include paternity testing, forensic casework, family lineage studies, identification of human remains, and DNA databasing. Forensic DNA Analysis: Current Practices and Emerging Technologies explores the fundamental principles and the application of technologies for each aspect of forensic DNA analysis. The book begins by discussing the value of DNA evidence and how to properly recognize, document, collect, and store it. The remaining chapters examine: The most widely adopted methods and the best practices for DNA isolation from forensic biological samples and human remainsStudies carried out on the use of both messenger RNA and small (micro) RNA profilingReal-time polymerase chain reaction (PCR) methods for quantification and assessment of human DNA prior to genotypingCapillary electr

A comprehensive and current introduction to the fundamentals of regression analysisIntroduction to Linear Regression Analysis, 6th Edition is the most comprehensive, fulsome, and current examination of the foundations of linear regression analysis. Fully updated in this new sixth edition, the distinguished authors have included new material on generalized regression techniques and new examples to help the reader understand retain the concepts taught in the book.The new edition focuses on four key areas of improvement over the fifth edition: New exercises and data setsNew material on generalized regression techniquesThe inclusion of JMP software in key areasCarefully condensing the text where possibleIntroduction to Linear Regression Analysis skillfully blends theory and application in both the conventional and less common uses of regression analysis in today's cutting-edge scientific research. The text equips readers to understand the basic principles needed to apply regression model-b

Furnish for how you would like to live, not for what you want people to think.'When interior designer Frida Ramstedt moved from a characterful old apartment to a functional new build, she started to t

An essential undergraduate textbook on algebra, topology, and calculusAn Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students

Statistical Design and Analysis of Clinical Trials: Principles and Methods concentrates on the biostatistics component of clinical trials. Developed from the authors’ courses taught to public health a

This book focuses on the various functional properties and potential applications of one-dimensional ZnO nanostructures, from basic principles to our most recent discoveries. It comprises experimental

Teams are critical to the success of every organization. Departmental, interdepartmental, cross-functional, ad hoc, task-specific—teams do everything from planning the office party to setting the annu

Clear-eyed and spirited, Taylor Greer grew up poor in rural Kentucky with the goals of avoiding pregnancy and getting away. But when she heads west with high hopes and a barely functional car, she mee