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Author: Shouchuan Hu
Publisher: Springer Nature
ISBN: 3031178378
Category : Mathematics
Languages : en
Pages : 544
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Book Description
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.
Author: Shouchuan Hu
Publisher: Springer Nature
ISBN: 3031178378
Category : Mathematics
Languages : en
Pages : 544
Get Book Here
Book Description
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.
Author: Shouchuan Hu
Publisher: Springer Nature
ISBN: 3031641892
Category :
Languages : en
Pages : 731
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Book Description
Author: George Pounis
Publisher: Academic Press
ISBN: 0128145579
Category : Technology & Engineering
Languages : en
Pages : 416
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Book Description
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
Author: Răzvan Gelca
Publisher: Springer
ISBN: 3319589881
Category : Mathematics
Languages : en
Pages : 857
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Book Description
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.
Author: Siau, Keng
Publisher: IGI Global
ISBN: 1599049287
Category : Computers
Languages : en
Pages : 286
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Book Description
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.
Author: Jerry J. Vaske
Publisher: Venture Publishing (PA)
ISBN: 9781892132796
Category : Parks
Languages : en
Pages : 0
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Book Description
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.
Author: Michael G. Kontominas
Publisher: CRC Press
ISBN: 1466560053
Category : Science
Languages : en
Pages : 210
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Book Description
This important book focuses on specific topics in food analysis and preservation investigated in the Laboratory of Food Chemistry and Technology at the University Ioannina, Greece, over the past five years. The book specifically targets consumer protection. Foods are being processed to preserve quality and prevent spoilage caused by physical, chemi
Author: Helena Chmura Kraemer
Publisher: SAGE
ISBN: 9780803929494
Category : Mathematics
Languages : en
Pages : 128
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Book Description
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.
Author: Greg Guest
Publisher: SAGE
ISBN: 1412971675
Category : Medical
Languages : en
Pages : 321
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Book Description
This book provides step-by-step instructions on how to analyze text generated from in-depth interviews and focus groups, relating predominantly to applied qualitative studies. The book covers all aspects of the qualitative data analysis process, employing a phenomenological approach which has a primary aim of describing the experiences and perceptions of research participants. Similar to Grounded Theory, the authors' approach is inductive, content-driven, and searches for themes within textual data.
Author: Stanley Wasserman
Publisher: SAGE Publications
ISBN: 1452253919
Category : Social Science
Languages : en
Pages : 320
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Book Description
Social network analysis, a method for analyzing relationships between social entities, has expanded over the last decade as new research has been done in this area. How can these new developments be applied effectively in the behavioral and social sciences disciplines? In Advances in Social Network Analysis, a team of leading methodologists in network analysis addresses this issue. They explore such topics as ways to specify the network contents to be studied, how to select the method for representing network structures, how social network analysis has been used to study interorganizational relations via the resource dependence model, how to use a contact matrix for studying the spread of disease in epidemiology, and how cohesion and structural equivalence network theories relate to studying social influence. It also offers statistical models for social support networks. Advances in Social Network Analysis is useful for researchers involved in general research methods and qualitative methods, and who are interested in psychology and sociology.
