Research Topics in Analysis, Volume I

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Publisher : Springer Nature
ISBN 13 : 3031178378
Total Pages : 544 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Research Topics in Analysis, Volume I by : Shouchuan Hu

Download or read book Research Topics in Analysis, Volume I written by Shouchuan Hu and published by Springer Nature. This book was released on 2022-11-29 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. Each chapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume. By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.

Research Topics in Analysis, Volume II

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Publisher : Springer Nature
ISBN 13 : 3031641892
Total Pages : 731 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Research Topics in Analysis, Volume II by : Shouchuan Hu

Download or read book Research Topics in Analysis, Volume II written by Shouchuan Hu and published by Springer Nature. This book was released on with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research Topics in Analysis, Volume II

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783031641886
Total Pages : 0 pages
Book Rating : 4.6/5 (418 download)

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Book Synopsis Research Topics in Analysis, Volume II by : Shouchuan Hu

Download or read book Research Topics in Analysis, Volume II written by Shouchuan Hu and published by Birkhäuser. This book was released on 2024-10-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment. The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium. By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich field of mathematics.

How Many Subjects?

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Author :
Publisher : SAGE
ISBN 13 : 9780803929494
Total Pages : 128 pages
Book Rating : 4.9/5 (294 download)

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Book Synopsis How Many Subjects? by : Helena Chmura Kraemer

Download or read book How Many Subjects? written by Helena Chmura Kraemer and published by SAGE. This book was released on 1987-09 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Many Subjects? is a practical guide to sample size calculations and general principles of cost-effective research. It introduces a simple technique of statistical power analysis which allows researchers to compute approximate sample sizes and power for a wide variety of research designs. Because the same technique is used with only slight modifications for different statistical tests, researchers can easily compare the sample sizes required by different designs and tests to make cost-effective decisions in planning a study. These comparisons, emphasized throughout the book, demonstrate important principles of design, measurement and analysis that are rarely discussed in courses or textbooks.

Putnam and Beyond

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Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Research Issues in Systems Analysis and Design, Databases and Software Development

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Author :
Publisher : IGI Global
ISBN 13 : 1599049287
Total Pages : 286 pages
Book Rating : 4.5/5 (99 download)

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Book Synopsis Research Issues in Systems Analysis and Design, Databases and Software Development by : Siau, Keng

Download or read book Research Issues in Systems Analysis and Design, Databases and Software Development written by Siau, Keng and published by IGI Global. This book was released on 2007-04-30 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the capabilities and features of new ideas and concepts in the information systems development, database, and forthcoming technologies. Provides a representation of topnotch research in all areas of systems analysis and design and databases.

Analysis in Nutrition Research

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Publisher : Academic Press
ISBN 13 : 0128145579
Total Pages : 416 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Analysis in Nutrition Research by : George Pounis

Download or read book Analysis in Nutrition Research written by George Pounis and published by Academic Press. This book was released on 2018-10-19 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis in Nutrition Research: Principles of Statistical Methodology and Interpretation of the Results describes, in a comprehensive manner, the methodologies of quantitative analysis of data originating specifically from nutrition studies. The book summarizes various study designs in nutrition research, research hypotheses, the proper management of dietary data, and analytical methodologies, with a specific focus on how to interpret the results of any given study. In addition, it provides a comprehensive overview of the methodologies used in study design and the management and analysis of collected data, paying particular attention to all of the available, modern methodologies and techniques. Users will find an overview of the recent challenges and debates in the field of nutrition research that will define major research hypotheses for research in the next ten years. Nutrition scientists, researchers and undergraduate and postgraduate students will benefit from this thorough publication on the topic. Provides a comprehensive presentation of the various study designs applied in nutrition research Contains a parallel description of statistical methodologies used for each study design Presents data management methodologies used specifically in nutrition research Describes methodologies using both a theoretical and applied approach Illustrates modern techniques in dietary pattern analysis Summarizes current topics in the field of nutrition research that will define major research hypotheses for research in the next ten years

Terrorism Research & Analysis Project (TRAP): A Collection of Thoughts, Ideas & Perspectives, Volume I, *.

Download Terrorism Research & Analysis Project (TRAP): A Collection of Thoughts, Ideas & Perspectives, Volume I, *. PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Terrorism Research & Analysis Project (TRAP): A Collection of Thoughts, Ideas & Perspectives, Volume I, *. by :

Download or read book Terrorism Research & Analysis Project (TRAP): A Collection of Thoughts, Ideas & Perspectives, Volume I, *. written by and published by . This book was released on 2011 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Stochastic Analysis and Related Topics

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Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

A Basis Theory Primer

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646868
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 2011 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.

Survey Research and Analysis

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Publisher : Venture Publishing (PA)
ISBN 13 : 9781892132796
Total Pages : 0 pages
Book Rating : 4.1/5 (327 download)

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Book Synopsis Survey Research and Analysis by : Jerry J. Vaske

Download or read book Survey Research and Analysis written by Jerry J. Vaske and published by Venture Publishing (PA). This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical concepts used in parks, recreation, and human dimensions of natural resources are explained in this book, as well as how survey questions can be created to measure these concepts. Recommendations are offered to facilitate survey design and implementation. Sampling strategies and procedures for weighting data to approximate populations of interest are discussed.

Analysis in Banach Spaces

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Publisher : Springer
ISBN 13 : 9783319839615
Total Pages : 614 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen

Download or read book Analysis in Banach Spaces written by Tuomas Hytönen and published by Springer. This book was released on 2018-07-07 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Predicting the Dynamics of Research Impact

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Publisher : Springer Nature
ISBN 13 : 3030866688
Total Pages : 304 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Predicting the Dynamics of Research Impact by : Yannis Manolopoulos

Download or read book Predicting the Dynamics of Research Impact written by Yannis Manolopoulos and published by Springer Nature. This book was released on 2021-09-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides its readers with an introduction to interesting prediction and science dynamics problems in the field of Science of Science. Prediction focuses on the forecasting of future performance (or impact) of an entity, either a research article or a scientist, and also the prediction of future links in collaboration networks or identifying missing links in citation networks. The single chapters are written in a way that help the reader gain a detailed technical understanding of the corresponding subjects, the strength and weaknesses of the state-of-the-art approaches for each described problem, and the currently open challenges. While chapter 1 provides a useful contribution in the theoretical foundations of the fields of scientometrics and science of science, chapters 2-4 turn the focal point to the study of factors that affect research impact and its dynamics. Chapters 5-7 then focus on article-level measures that quantify the current and future impact of scientific articles. Next, chapters 8-10 investigate subjects relevant to predicting the future impact of individual researchers. Finally, chapters 11-13 focus on science evolution and dynamics, leveraging heterogeneous and interconnected data, where the analysis of research topic trends and their evolution has always played a key role in impact prediction approaches and quantitative analyses in the field of bibliometrics. Each chapter can be read independently, since it includes a detailed description of the problem being investigated along with a thorough discussion and study of the respective state-of-the-art. Due to the cross-disciplinary character of the Science of Science field, the book may be useful to interested readers from a variety of disciplines like information science, information retrieval, network science, informetrics, scientometrics, and machine learning, to name a few. The profiles of the readers may also be diverse ranging from researchers and professors in the respective fields to students and developers being curious about the covered subjects.

Single-Case Research Design and Analysis (Psychology Revivals)

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Publisher : Routledge
ISBN 13 : 1317535650
Total Pages : 247 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Single-Case Research Design and Analysis (Psychology Revivals) by : Thomas R. Kratochwill

Download or read book Single-Case Research Design and Analysis (Psychology Revivals) written by Thomas R. Kratochwill and published by Routledge. This book was released on 2015-04-10 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1992, the editors of this volume fulfill three main goals: to take stock of progress in the development of data-analysis procedures for single-subject research; to clearly explain errors of application and consider them within the context of new theoretical and empirical information of the time; and to closely examine new developments in the analysis of data from single-subject or small n experiments. To meet these goals, this book provides examples of applicable single-subject research data analysis. It presents a wide variety of topics and perspectives and hopes that readers will select the data-analysis strategies that best reflect their methodological approaches, statistical sophistication, and philosophical beliefs. These strategies include visual analysis, nonparametric tests, time-series experiments, applications of statistical procedures for multiple behaviors, applications of meta-analysis in single-subject research, and discussions of issues related to the application and misapplication of selected techniques.

Fundamentals of Big Data Network Analysis for Research and Industry

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Publisher : John Wiley & Sons
ISBN 13 : 1119015588
Total Pages : 214 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Fundamentals of Big Data Network Analysis for Research and Industry by : Hyunjoung Lee

Download or read book Fundamentals of Big Data Network Analysis for Research and Industry written by Hyunjoung Lee and published by John Wiley & Sons. This book was released on 2016-01-19 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the methodology of big data analysis using examples from research and industry There are large amounts of data everywhere, and the ability to pick out crucial information is increasingly important. Contrary to popular belief, not all information is useful; big data network analysis assumes that data is not only large, but also meaningful, and this book focuses on the fundamental techniques required to extract essential information from vast datasets. Featuring case studies drawn largely from the iron and steel industries, this book offers practical guidance which will enable readers to easily understand big data network analysis. Particular attention is paid to the methodology of network analysis, offering information on the method of data collection, on research design and analysis, and on the interpretation of results. A variety of programs including UCINET, NetMiner, R, NodeXL, and Gephi for network analysis are covered in detail. Fundamentals of Big Data Network Analysis for Research and Industry looks at big data from a fresh perspective, and provides a new approach to data analysis. This book: Explains the basic concepts in understanding big data and filtering meaningful data Presents big data analysis within the networking perspective Features methodology applicable to research and industry Describes in detail the social relationship between big data and its implications Provides insight into identifying patterns and relationships between seemingly unrelated big data Fundamentals of Big Data Network Analysis for Research and Industry will prove a valuable resource for analysts, research engineers, industrial engineers, marketing professionals, and any individuals dealing with accumulated large data whose interest is to analyze and identify potential relationships among data sets.

Research Methods for Digital Discourse Analysis

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Publisher : Bloomsbury Publishing
ISBN 13 : 1350166847
Total Pages : 345 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Research Methods for Digital Discourse Analysis by : Camilla Vásquez

Download or read book Research Methods for Digital Discourse Analysis written by Camilla Vásquez and published by Bloomsbury Publishing. This book was released on 2022-02-24 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing the key questions and challenges faced by the researcher of digital discourse, this book provides an overview of the different methodological dimensions associated with this type of research. Bringing together a team of experts, chapters guide students and novice researchers through how to conduct rigorous, accurate, and ethical research with data from a wide range of online platforms, including Facebook, Instagram, Twitter, YouTube, and online dating apps. Research Methods for Digital Discourse Analysis focuses on the key issues that any digital discourse analyst must consider, before tackling more specific topics and approaches, including how to work with multilingual or multimodal data. Emphasizing concrete, practical advice and illustrated with plentiful examples from research studies, each chapter introduces a new research dimension for consideration, briefly exploring how other discourse analysts have approached the topic before using an in-depth case study to highlight the main challenges and provide guidance on methodological decision-making. Supported by a range of pedagogical tools, including discussion questions and annotated further-reading lists, this book is an essential resource for students and any researcher new to analyzing digital discourse.

Research Methods for Sports Performance Analysis

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Author :
Publisher : Routledge
ISBN 13 : 1134005369
Total Pages : 295 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis Research Methods for Sports Performance Analysis by : Peter O'Donoghue

Download or read book Research Methods for Sports Performance Analysis written by Peter O'Donoghue and published by Routledge. This book was released on 2009-12-16 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sports performance analysis is an important tool for any serious practitioner in sport and, as a result, performance analysis has become a key component of degree programmes in sport science and sports coaching. This book explains how to undertake a research project in performance analysis of sport, from selecting a research topic, to gathering and analyzing data, to writing up results.