Elements Of Abstract Analysis
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Elements Of Abstract Analysis
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Author : Mícheál O'Searcoid
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-09
Elements Of Abstract Analysis written by Mícheál O'Searcoid 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 2001-11-09 with Mathematics categories.
While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is written specifically for final-year undergraduate students who should already be familiar with most of the mathematical structures discussed. It reviews the concepts at a slightly greater level of abstraction and enables students to understand their place within the broad framework of set-based mathematics. The book has been clearly written and contains numerous exercises and examples, making it an a rigorous and self-contained introductory text on functional analysis.
A Course In Abstract Analysis
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Author : John B. Conway
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-10-03
A Course In Abstract Analysis written by John B. Conway and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-03 with Mathematics categories.
This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.
Foundations Of Abstract Analysis
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Author : Jewgeni H. Dshalalow
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09
Foundations Of Abstract Analysis written by Jewgeni H. Dshalalow 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 2012-11-09 with Mathematics categories.
Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability.
Elements Of Nonlinear Analysis
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Author : Michel Chipot
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Elements Of Nonlinear Analysis written by Michel Chipot and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The pre sentation here is original and self contained, and helps to motivate all the rest of the book. Then we turn to some theoretical material in analysis that will be needed throughout (Chapter 2). The next six chapters are devoted to various aspects of elliptic problems. Starting with the basics of the linear theory, we introduce a first type of nonlinear problem that has today invaded the whole mathematical world: variational inequalities. In particular, in Chapter 6, we introduce a simple theory of regularity for nonlocal variational inequalities. We also attack the question of the existence, uniqueness and approximation of solutions of quasilinear and mono tone problems (see Chapters 5, 7, 8). The material needed to read these parts is contained in Chapter 2. The arguments are explained using the simplest possible examples.
Reduction Abstraction Analysis
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Author : Alexander Hieke
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02
Reduction Abstraction Analysis written by Alexander Hieke and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
Philosophers often have tried to either reduce "disagreeable" objects or concepts to (more) acceptable objects or concepts. Reduction is regarded attractive by those who subscribe to an ideal of ontological parsimony. But the topic is not just restricted to traditional metaphysics or ontology. In the philosophy of mathematics, abstraction principles, such as Hume's principle, have been suggested to support a reconstruction of mathematics by logical means only. In the philosophy of language and the philosophy of science, the logical analysis of language has long been regarded to be the dominating paradigm, and liberalized projects of logical reconstruction remain to be driving forces of modern philosophy. This volume collects contributions comprising all those topics, including articles by Alexander Bird, Jaakko Hintikka, James Ladyman, Rohit Parikh, Gerhard Schurz, Peter Simons, Crispin Wright and Edward N. Zalta.
Elements Of Abstract Algebra
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Author : Allan Clark
language : en
Publisher: Courier Corporation
Release Date : 2012-07-06
Elements Of Abstract Algebra written by Allan Clark and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-06 with Mathematics categories.
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Introduction To Static Analysis
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Author : Xavier Rival
language : en
Publisher: MIT Press
Release Date : 2020-02-11
Introduction To Static Analysis written by Xavier Rival and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-11 with Computers categories.
A self-contained introduction to abstract interpretation–based static analysis, an essential resource for students, developers, and users. Static program analysis, or static analysis, aims to discover semantic properties of programs without running them. It plays an important role in all phases of development, including verification of specifications and programs, the synthesis of optimized code, and the refactoring and maintenance of software applications. This book offers a self-contained introduction to static analysis, covering the basics of both theoretical foundations and practical considerations in the use of static analysis tools. By offering a quick and comprehensive introduction for nonspecialists, the book fills a notable gap in the literature, which until now has consisted largely of scientific articles on advanced topics. The text covers the mathematical foundations of static analysis, including semantics, semantic abstraction, and computation of program invariants; more advanced notions and techniques, including techniques for enhancing the cost-accuracy balance of analysis and abstractions for advanced programming features and answering a wide range of semantic questions; and techniques for implementing and using static analysis tools. It begins with background information and an intuitive and informal introduction to the main static analysis principles and techniques. It then formalizes the scientific foundations of program analysis techniques, considers practical aspects of implementation, and presents more advanced applications. The book can be used as a textbook in advanced undergraduate and graduate courses in static analysis and program verification, and as a reference for users, developers, and experts.
The Elements Of Written Arithmetic Combining Analysis And Synthesis
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Author : James Stewart Eaton
language : en
Publisher:
Release Date : 1870
The Elements Of Written Arithmetic Combining Analysis And Synthesis written by James Stewart Eaton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with categories.
The Elements Of Written Arithmetic Combining Analysis And Synthesis Etc
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Author : James S. EATON (M.A.)
language : en
Publisher:
Release Date : 1870
The Elements Of Written Arithmetic Combining Analysis And Synthesis Etc written by James S. EATON (M.A.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with categories.
Parle 89 Parallel Architectures And Languages Europe
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Author : Eddy Odijk
language : en
Publisher: Springer Science & Business Media
Release Date : 1989
Parle 89 Parallel Architectures And Languages Europe written by Eddy Odijk 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 1989 with Computer architecture categories.
Since the first PARLE conference, PARLE '87, attracted more than 300 participants, it was considered a useful and successful forum and encouraged the organization of this second issue known as PARLE '89. The initiative for these conferences was taken by project 415 of ESPRIT (the European Strategic Programme for Research and Development in Information Technology of the Commission of the European Communities). Their scope covers central themes in the area of parallel architectures and languages, including such topics as concurrent, object-oriented, logic and functional programming; MIMD, dataflow, inference and reduction machines; design and verification of parallel systems; VLSI, WSI and RISC architectures; performance evaluation, memory management, systolic arrays, applications and special purpose architectures. The four invited lectures present the state of the art and advanced developments in major research areas related to the topics of the conference. Of the more than 150 submitted papers 45 were selected for presentation. Furthermore the program of PARLE '89 comprises presentations on the subprojects which together constitute ESPRIT project 415. Parallel architectures based on a variety of programming styles (object-oriented, logic, functional, dataflow) are represented in these overviews.