Unconditional Convergence

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Series in Banach Spaces

Author : Vladimir Kadets
Publisher : Birkhäuser
ISBN 13 : 3034891962
Total Pages : 162 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Series in Banach Spaces by : Vladimir Kadets

Download or read book Series in Banach Spaces written by Vladimir Kadets and published by Birkhäuser. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of its terms is changed is one of the most impressive facts encountered in a university analysis course. The present book is devoted precisely to this aspect of the theory of series whose terms are elements of Banach (as well as other topological linear) spaces. The exposition focuses on two complementary problems. The first is to char acterize those series in a given space that remain convergent (and have the same sum) for any rearrangement of their terms; such series are usually called uncon ditionally convergent. The second problem is, when a series converges only for certain rearrangements of its terms (in other words, converges conditionally), to describe its sum range, i.e., the set of sums of all its convergent rearrangements.

A Basis Theory Primer

Author : Christopher Heil
Publisher : Springer Science & Business Media
ISBN 13 : 0817646876
Total Pages : 549 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Basis Theory Primer by : Christopher Heil

Download or read book A Basis Theory Primer written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2010-11-03 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.

Introduction to Real Analysis

Author : Christopher Heil
Publisher : Springer
ISBN 13 : 3030269035
Total Pages : 386 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Introduction to Real Analysis by : Christopher Heil

Download or read book Introduction to Real Analysis written by Christopher Heil and published by Springer. This book was released on 2019-07-20 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the author’s lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject. The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline, and much more. Introduction to Real Analysis is intended for first-year graduate students taking a first course in real analysis, as well as for instructors seeking detailed lecture material with structure and accessibility in mind. Additionally, its content is appropriate for Ph.D. students in any scientific or engineering discipline who have taken a standard upper-level undergraduate real analysis course.

A Treatise on the Theory of Functions

Author : James Harkness
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Treatise on the Theory of Functions by : James Harkness

Download or read book A Treatise on the Theory of Functions written by James Harkness and published by . This book was released on 1893 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Functional Analysis

Author : W?adys?aw Orlicz
Publisher : World Scientific
ISBN 13 : 9789810208530
Total Pages : 270 pages
Book Rating : 4.2/5 (85 download)

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Book Synopsis Linear Functional Analysis by : W?adys?aw Orlicz

Download or read book Linear Functional Analysis written by W?adys?aw Orlicz and published by World Scientific. This book was released on 1992 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere. Orlicz provided in this book some rare insight and motivation in the subject which was initiated by the Polish school. An addendum to some recent results in Orlicz spaces is included.

A Note on Unconditional Convergence

Author : Angus Ellis Taylor
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (832 download)

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Book Synopsis A Note on Unconditional Convergence by : Angus Ellis Taylor

Download or read book A Note on Unconditional Convergence written by Angus Ellis Taylor and published by . This book was released on 1939 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Real Analysis

Author : Brian S. Thomson
Publisher : ClassicalRealAnalysis.com
ISBN 13 : 143484367X
Total Pages : 685 pages
Book Rating : 4.4/5 (348 download)

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Book Synopsis Elementary Real Analysis by : Brian S. Thomson

Download or read book Elementary Real Analysis written by Brian S. Thomson and published by ClassicalRealAnalysis.com. This book was released on 2008 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4. Sets of real numbersChapter 5. Continuous functionsChapter 6. More on continuous functions and setsChapter 7. Differentiation Chapter 8. The IntegralChapter 9. Sequences and series of functionsChapter 10. Power seriesChapter 11. Euclidean Space R^nChapter 12. Differentiation on R^nChapter 13. Metric Spaces

Analysis I

Author : Roger Godement
Publisher : Springer Science & Business Media
ISBN 13 : 364218491X
Total Pages : 453 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Analysis I by : Roger Godement

Download or read book Analysis I written by Roger Godement and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.

Scandinavia and South America—A Tale of Two Capitalisms

Author : Jorge Álvarez
Publisher : Springer Nature
ISBN 13 : 3031091981
Total Pages : 356 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Scandinavia and South America—A Tale of Two Capitalisms by : Jorge Álvarez

Download or read book Scandinavia and South America—A Tale of Two Capitalisms written by Jorge Álvarez and published by Springer Nature. This book was released on 2022-10-17 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a comparative approach to economic history to offer ways to increase our understanding of the divergence between South America and Scandinavia. In particular, the book aims to deepen our understanding of why the two groups of countries have set out on radically different pathways with regard to industrialisation, long-term economic growth and income distribution. The book draws together the results of two separate projects focusing on this comparison. The first of these projects focuses on two of the so-called settler societies of South America, namely Uruguay and Argentina, sometimes called the Pampas region. Australia and New Zealand, two other settler societies, are also considered, adding a further contrasting effect. These settler societies are compared with Scandinavia, in its broad terms, including Sweden, Denmark, Norway and Finland. The second of these projects focuses on comparisons between Brazil and Sweden. Together, the two projects have engaged the minds of economic historians from Brazil, Uruguay and Sweden. This book will be of interest to researchers and students in economic history and economic development more broadly.

A Course in Multivariable Calculus and Analysis

Author : Sudhir R. Ghorpade
Publisher : Springer Science & Business Media
ISBN 13 : 1441916210
Total Pages : 477 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Course in Multivariable Calculus and Analysis by : Sudhir R. Ghorpade

Download or read book A Course in Multivariable Calculus and Analysis written by Sudhir R. Ghorpade and published by Springer Science & Business Media. This book was released on 2010-03-20 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus. This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.

Sustainable Economic Development

Author : Arsenio Balisacan
Publisher : Academic Press
ISBN 13 : 0128004169
Total Pages : 532 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Sustainable Economic Development by : Arsenio Balisacan

Download or read book Sustainable Economic Development written by Arsenio Balisacan and published by Academic Press. This book was released on 2014-09-20 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sustainable Economic Development: Resources, Environment, and Institutions presents 25 articles that lay the foundations of sustainable development in a way that facilitates effective policy design. The editors mix broad thematic papers with focused micro-papers, balancing theories with policy designs.The book begins with two sections on sustainable development principles and practice and on specific settings where sustainable development is practiced. Two more sections illuminate institutions, governance, and political economy. Additional sections cover sustainable development and agriculture, and risk and economic security, including disaster management. This rich source of information should appeal to any institution involved in development work, and to development practitioners grappling with an array of difficult on-the-ground developmental challenges. - Analyzes policies that move markets and resource use patterns towards achieving sustainability - Articles are kaleidoscopic in scope and creativity - Authors embody extraordinary diversity and qualifications

International Trade

Author : Luis Rivera-Batiz
Publisher : OUP Oxford
ISBN 13 : 9780198297116
Total Pages : 734 pages
Book Rating : 4.2/5 (971 download)

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Book Synopsis International Trade by : Luis Rivera-Batiz

Download or read book International Trade written by Luis Rivera-Batiz and published by OUP Oxford. This book was released on 2003 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title offers an integrated account of strategic trade analysis, combined with empirical evidence and new results. It addresses the need to synthesize and integrate the new advances in a field that has become a key element of policy discussions.

Mathematical Analysis

Author : Bernd S. W. Schröder
Publisher : John Wiley & Sons
ISBN 13 : 9780470226766
Total Pages : 584 pages
Book Rating : 4.2/5 (267 download)

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Book Synopsis Mathematical Analysis by : Bernd S. W. Schröder

Download or read book Mathematical Analysis written by Bernd S. W. Schröder and published by John Wiley & Sons. This book was released on 2008-01-28 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis. Mathematical Analysis is composed of three parts: ?Part One presents the analysis of functions of one variable, including sequences, continuity, differentiation, Riemann integration, series, and the Lebesgue integral. A detailed explanation of proof writing is provided with specific attention devoted to standard proof techniques. To facilitate an efficient transition to more abstract settings, the results for single variable functions are proved using methods that translate to metric spaces. ?Part Two explores the more abstract counterparts of the concepts outlined earlier in the text. The reader is introduced to the fundamental spaces of analysis, including Lp spaces, and the book successfully details how appropriate definitions of integration, continuity, and differentiation lead to a powerful and widely applicable foundation for further study of applied mathematics. The interrelation between measure theory, topology, and differentiation is then examined in the proof of the Multidimensional Substitution Formula. Further areas of coverage in this section include manifolds, Stokes' Theorem, Hilbert spaces, the convergence of Fourier series, and Riesz' Representation Theorem. ?Part Three provides an overview of the motivations for analysis as well as its applications in various subjects. A special focus on ordinary and partial differential equations presents some theoretical and practical challenges that exist in these areas. Topical coverage includes Navier-Stokes equations and the finite element method. Mathematical Analysis: A Concise Introduction includes an extensive index and over 900 exercises ranging in level of difficulty, from conceptual questions and adaptations of proofs to proofs with and without hints. These opportunities for reinforcement, along with the overall concise and well-organized treatment of analysis, make this book essential for readers in upper-undergraduate or beginning graduate mathematics courses who would like to build a solid foundation in analysis for further work in all analysis-based branches of mathematics.

Metrics, Norms, Inner Products, and Operator Theory

Author : Christopher Heil
Publisher : Birkhäuser
ISBN 13 : 3319653229
Total Pages : 374 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Metrics, Norms, Inner Products, and Operator Theory by : Christopher Heil

Download or read book Metrics, Norms, Inner Products, and Operator Theory written by Christopher Heil and published by Birkhäuser. This book was released on 2018-08-28 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of lp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.

Varieties of Capitalism, Varieties of Approaches

Author : D. Coates
Publisher : Springer
ISBN 13 : 0230522726
Total Pages : 307 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Varieties of Capitalism, Varieties of Approaches by : D. Coates

Download or read book Varieties of Capitalism, Varieties of Approaches written by D. Coates and published by Springer. This book was released on 2005-01-25 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though the emerging sub-discipline of comparative political economy is now rich in studies of different advanced capitalisms, it still lacks a systematic consideration of the organizing frameworks and methodologies underpinning those studies. This definitive volume outlines the two great debates currently shaping the analysis of advanced capitalism. It makes the case for a greater awareness of underlying theoretical issues in the design of empirical research, and demonstrates the value of exploring the interconnections between competing intellectual approaches.

Estonia, the New EU Economy

Author : Helena Hannula
Publisher : Ashgate Publishing, Ltd.
ISBN 13 : 9780754645610
Total Pages : 400 pages
Book Rating : 4.6/5 (456 download)

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Book Synopsis Estonia, the New EU Economy by : Helena Hannula

Download or read book Estonia, the New EU Economy written by Helena Hannula and published by Ashgate Publishing, Ltd.. This book was released on 2006 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Estonia is regarded by many as one of the most hopeful cases for the integration of eastern Europe into the enlarged European Union. It provides positive examples of how the integration process can be well handled, but at the same time some of the contentious issues this can give rise to. This book assesses the tensions involved in the development of the Estonian economy in terms of growth, convergence, financial development, labour reallocation, structural and organizational change, and the role of foreign companies and international networks. The analysis of Estonia is placed within a broader context and among a wider set of nations, and thus aims at understanding the potential for growth and structural change in the eastern part of the enlarged EU. In these and related fields, the book seeks to draw lessons from Estonia for other new (and indeed future) EU accession countries.

Sequences, Summability and Fourier Analysis

Author : S. Nanda
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173196027
Total Pages : 234 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis Sequences, Summability and Fourier Analysis by : S. Nanda

Download or read book Sequences, Summability and Fourier Analysis written by S. Nanda and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequences, Summability and Fourier Analysis deals with various aspects of summability, a major branch of analysis. The subject grew extensively during the twentieth century through the contribution of eminent analysts, but there are numerous unsolved problems, which still baffle the present-day scholars, as the application side has been poorly attended to. This volume contains original research articles, many valuable survey articles on approximation theory, multivalent functions, almost convergence and absolute almost convergence, Tauberian theorems, Köthe-Toeplitz duals of sequence spaces, random Fourier series, stochastic integrals, interpolative subspaces of Banach space, metric transformations in sequence spaces, absolute summability and Nörlund summability.