Author: Thomas William Körner
Publisher: American Mathematical Soc.
ISBN: 0821834479
Category : Mathematics
Languages : en
Pages : 608
Book Description
This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.
A Companion to Analysis
Author: Thomas William Körner
Publisher: American Mathematical Soc.
ISBN: 0821834479
Category : Mathematics
Languages : en
Pages : 608
Book Description
This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.
Publisher: American Mathematical Soc.
ISBN: 0821834479
Category : Mathematics
Languages : en
Pages : 608
Book Description
This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.
Real Analysis
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 1470410990
Category : Mathematics
Languages : en
Pages : 811
Book Description
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.
Publisher: American Mathematical Soc.
ISBN: 1470410990
Category : Mathematics
Languages : en
Pages : 811
Book Description
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.
An R Companion to Political Analysis
Author: Philip H. Pollock III
Publisher: CQ Press
ISBN: 1506368832
Category : Political Science
Languages : en
Pages : 210
Book Description
Teach your students to conduct political research using R, the open source programming language and software environment for statistical computing and graphics. An R Companion to Political Analysis offers the same easy-to-use and effective style as the best-selling SPSS and Stata Companions. The all-new Second Edition includes new and revised exercises and datasets showing students how to analyze research-quality data to learn descriptive statistics, data transformations, bivariate analysis (cross-tabulations and mean comparisons), controlled comparisons, statistical inference, linear correlation and regression, dummy variables and interaction effects, and logistic regression. The clear explanation and instruction is accompanied by annotated and labeled screen shots and end-of-chapter exercises to help students apply what they have learned. "Students will love this book, as will their teachers." – Courtney Brown, Emory University
Publisher: CQ Press
ISBN: 1506368832
Category : Political Science
Languages : en
Pages : 210
Book Description
Teach your students to conduct political research using R, the open source programming language and software environment for statistical computing and graphics. An R Companion to Political Analysis offers the same easy-to-use and effective style as the best-selling SPSS and Stata Companions. The all-new Second Edition includes new and revised exercises and datasets showing students how to analyze research-quality data to learn descriptive statistics, data transformations, bivariate analysis (cross-tabulations and mean comparisons), controlled comparisons, statistical inference, linear correlation and regression, dummy variables and interaction effects, and logistic regression. The clear explanation and instruction is accompanied by annotated and labeled screen shots and end-of-chapter exercises to help students apply what they have learned. "Students will love this book, as will their teachers." – Courtney Brown, Emory University
The Bloomsbury Companion to Discourse Analysis
Author: Ken Hyland
Publisher: Bloomsbury Publishing
ISBN: 1441160124
Category : Language Arts & Disciplines
Languages : en
Pages : 473
Book Description
Originally published as The Continuum Companion to Discourse Analysis, this book is designed to be the essential one-volume resource for advanced students and academics. This companion offers a comprehensive and accessible reference resource to research in contemporary discourse studies. In 21 chapters written by leading figures in the field, the volume provides readers with an authoritative overview of key terms, methods and current research topics and directions. It offers both a survey of current research and gives more practical guidance for advanced study in the area. The volume covers all the most important issues, concepts, movements and approaches in the field and features a glossary of key terms in the area of discourse analysis. It is the complete resource for postgraduate students and researchers working within discourse studies, applied linguistics, TESOL and the social sciences.
Publisher: Bloomsbury Publishing
ISBN: 1441160124
Category : Language Arts & Disciplines
Languages : en
Pages : 473
Book Description
Originally published as The Continuum Companion to Discourse Analysis, this book is designed to be the essential one-volume resource for advanced students and academics. This companion offers a comprehensive and accessible reference resource to research in contemporary discourse studies. In 21 chapters written by leading figures in the field, the volume provides readers with an authoritative overview of key terms, methods and current research topics and directions. It offers both a survey of current research and gives more practical guidance for advanced study in the area. The volume covers all the most important issues, concepts, movements and approaches in the field and features a glossary of key terms in the area of discourse analysis. It is the complete resource for postgraduate students and researchers working within discourse studies, applied linguistics, TESOL and the social sciences.
The Essentials of Political Analysis
Author: Philip H. Pollock III
Publisher: CQ Press
ISBN: 1506379583
Category : Political Science
Languages : en
Pages : 309
Book Description
"Pollock and Edwards explain the nuts-and-bolts of research design and data analysis in a clear and concise style. The Essential of Political Analysis is an intuitive introduction to complex material, replete with examples from the political science literature that add relevance to statistical concepts. This text offers students an excellent balance between the technical and the practical." —Francis Neely, San Francisco State University Gain the skills you need to conduct political analysis and critically assess statistical research. In this Sixth Edition of The Essentials of Political Science, bestselling authors Philip H. Pollock III and Barry C. Edwards build students’ analytic abilities and develop their statistical reasoning with new data, fresh exercises, and accessible examples. This brief, accessible guide walks students through the essentials—measuring concepts, formulating and testing hypotheses, describing variables—while using key terms, chapter-opening objectives, over 80 tables and figures, and practical exercises to get them using and applying their new skills. Using SPSS, STATA or R? Discounted package deals available with Philip H. Pollock’s companion workbooks. . Give your students the SAGE edge! SAGE edge offers a robust online environment featuring an impressive array of free tools and resources for review, study, and further exploration, keeping both instructors and students on the cutting edge of teaching and learning.
Publisher: CQ Press
ISBN: 1506379583
Category : Political Science
Languages : en
Pages : 309
Book Description
"Pollock and Edwards explain the nuts-and-bolts of research design and data analysis in a clear and concise style. The Essential of Political Analysis is an intuitive introduction to complex material, replete with examples from the political science literature that add relevance to statistical concepts. This text offers students an excellent balance between the technical and the practical." —Francis Neely, San Francisco State University Gain the skills you need to conduct political analysis and critically assess statistical research. In this Sixth Edition of The Essentials of Political Science, bestselling authors Philip H. Pollock III and Barry C. Edwards build students’ analytic abilities and develop their statistical reasoning with new data, fresh exercises, and accessible examples. This brief, accessible guide walks students through the essentials—measuring concepts, formulating and testing hypotheses, describing variables—while using key terms, chapter-opening objectives, over 80 tables and figures, and practical exercises to get them using and applying their new skills. Using SPSS, STATA or R? Discounted package deals available with Philip H. Pollock’s companion workbooks. . Give your students the SAGE edge! SAGE edge offers a robust online environment featuring an impressive array of free tools and resources for review, study, and further exploration, keeping both instructors and students on the cutting edge of teaching and learning.
Princeton Companion to Applied Mathematics
Author: Nicholas J. Higham
Publisher: Princeton University Press
ISBN: 0691150397
Category : Mathematics
Languages : en
Pages : 1014
Book Description
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Publisher: Princeton University Press
ISBN: 0691150397
Category : Mathematics
Languages : en
Pages : 1014
Book Description
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
A Companion to Econometric Analysis of Panel Data
Author: Badi H. Baltagi
Publisher: John Wiley & Sons
ISBN: 0470744030
Category : Business & Economics
Languages : en
Pages : 322
Book Description
‘Econometric Analysis of Panel Data’ has become established as the leading textbook for postgraduate courses in panel data. This book is intended as a companion to the main text. The prerequisites include a good background in mathematical statistics and econometrics. The companion guide will add value to the existing textbooks on panel data by solving exercises in a logical and pedagogical manner, helping the reader understand, learn and teach panel data. These exercises are based upon those in Baltagi (2008) and are complementary to that text even though they are stand alone material and the reader can learn the basic material as they go through these exercises. The exercises in this book start by providing some background material on partitioned regressions and the Frisch-Waugh-Lovell theorem, showing the reader some applications of this material that are useful in practice. Then it goes through the basic material on fixed and random effects models in a one-way and two-way error components models, following the same outline as in Baltagi (2008). The book also provides some empirical illustrations and examples using Stata and EViews that the reader can replicate. The data sets are available on the Wiley web site (www.wileyeurope.com/college/baltagi).
Publisher: John Wiley & Sons
ISBN: 0470744030
Category : Business & Economics
Languages : en
Pages : 322
Book Description
‘Econometric Analysis of Panel Data’ has become established as the leading textbook for postgraduate courses in panel data. This book is intended as a companion to the main text. The prerequisites include a good background in mathematical statistics and econometrics. The companion guide will add value to the existing textbooks on panel data by solving exercises in a logical and pedagogical manner, helping the reader understand, learn and teach panel data. These exercises are based upon those in Baltagi (2008) and are complementary to that text even though they are stand alone material and the reader can learn the basic material as they go through these exercises. The exercises in this book start by providing some background material on partitioned regressions and the Frisch-Waugh-Lovell theorem, showing the reader some applications of this material that are useful in practice. Then it goes through the basic material on fixed and random effects models in a one-way and two-way error components models, following the same outline as in Baltagi (2008). The book also provides some empirical illustrations and examples using Stata and EViews that the reader can replicate. The data sets are available on the Wiley web site (www.wileyeurope.com/college/baltagi).
Object Oriented Data Analysis
Author: J. S. Marron
Publisher: CRC Press
ISBN: 1351189662
Category : Computers
Languages : en
Pages : 436
Book Description
Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research through new terminology for discussing the often many possible approaches to the analysis of complex data. Such data are naturally arising in a wide variety of areas. This book aims to provide ways of thinking that enable the making of sensible choices. The main points are illustrated with many real data examples, based on the authors' personal experiences, which have motivated the invention of a wide array of analytic methods. While the mathematics go far beyond the usual in statistics (including differential geometry and even topology), the book is aimed at accessibility by graduate students. There is deliberate focus on ideas over mathematical formulas. J. S. Marron is the Amos Hawley Distinguished Professor of Statistics, Professor of Biostatistics, Adjunct Professor of Computer Science, Faculty Member of the Bioinformatics and Computational Biology Curriculum and Research Member of the Lineberger Cancer Center and the Computational Medicine Program, at the University of North Carolina, Chapel Hill. Ian L. Dryden is a Professor in the Department of Mathematics and Statistics at Florida International University in Miami, has served as Head of School of Mathematical Sciences at the University of Nottingham, and is joint author of the acclaimed book Statistical Shape Analysis.
Publisher: CRC Press
ISBN: 1351189662
Category : Computers
Languages : en
Pages : 436
Book Description
Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research through new terminology for discussing the often many possible approaches to the analysis of complex data. Such data are naturally arising in a wide variety of areas. This book aims to provide ways of thinking that enable the making of sensible choices. The main points are illustrated with many real data examples, based on the authors' personal experiences, which have motivated the invention of a wide array of analytic methods. While the mathematics go far beyond the usual in statistics (including differential geometry and even topology), the book is aimed at accessibility by graduate students. There is deliberate focus on ideas over mathematical formulas. J. S. Marron is the Amos Hawley Distinguished Professor of Statistics, Professor of Biostatistics, Adjunct Professor of Computer Science, Faculty Member of the Bioinformatics and Computational Biology Curriculum and Research Member of the Lineberger Cancer Center and the Computational Medicine Program, at the University of North Carolina, Chapel Hill. Ian L. Dryden is a Professor in the Department of Mathematics and Statistics at Florida International University in Miami, has served as Head of School of Mathematical Sciences at the University of Nottingham, and is joint author of the acclaimed book Statistical Shape Analysis.
Quantitative Data Analysis
Author: Willem Mertens
Publisher: Springer
ISBN: 3319427008
Category : Computers
Languages : en
Pages : 170
Book Description
This book offers postgraduate and early career researchers in accounting and information systems a guide to choosing, executing and reporting appropriate data analysis methods to answer their research questions. It provides readers with a basic understanding of the steps that each method involves, and of the facets of the analysis that require special attention. Rather than presenting an exhaustive overview of the methods or explaining them in detail, the book serves as a starting point for developing data analysis skills: it provides hands-on guidelines for conducting the most common analyses and reporting results, and includes pointers to more extensive resources. Comprehensive yet succinct, the book is brief and written in a language that everyone can understand - from students to those employed by organizations wanting to study the context in which they work. It also serves as a refresher for researchers who have learned data analysis techniques previously but who need a reminder for the specific study they are involved in.
Publisher: Springer
ISBN: 3319427008
Category : Computers
Languages : en
Pages : 170
Book Description
This book offers postgraduate and early career researchers in accounting and information systems a guide to choosing, executing and reporting appropriate data analysis methods to answer their research questions. It provides readers with a basic understanding of the steps that each method involves, and of the facets of the analysis that require special attention. Rather than presenting an exhaustive overview of the methods or explaining them in detail, the book serves as a starting point for developing data analysis skills: it provides hands-on guidelines for conducting the most common analyses and reporting results, and includes pointers to more extensive resources. Comprehensive yet succinct, the book is brief and written in a language that everyone can understand - from students to those employed by organizations wanting to study the context in which they work. It also serves as a refresher for researchers who have learned data analysis techniques previously but who need a reminder for the specific study they are involved in.
Experimenting with Ethnography
Author: Andrea Ballestero
Publisher: Duke University Press
ISBN: 1478013214
Category : Social Science
Languages : en
Pages : 219
Book Description
Experimenting with Ethnography collects twenty-one essays that open new paths for doing ethnographic analysis. The contributors—who come from a variety of intellectual and methodological traditions—enliven analysis by refusing to take it as an abstract, disembodied exercise. Rather, they frame it as a concrete mode of action and a creative practice. Encompassing topics ranging from language and the body to technology and modes of collaboration, the essays invite readers to focus on the imaginative work that needs to be performed prior to completing an argument. Whether exchanging objects, showing how to use drawn images as a way to analyze data, or working with smartphones, sound recordings, and social media as analytic devices, the contributors explore the deliberate processes for pursuing experimental thinking through ethnography. Practical and broad in theoretical scope, Experimenting with Ethnography is an indispensable companion for all ethnographers. Contributors. Patricia Alvarez Astacio, Andrea Ballestero, Ivan da Costa Marques, Steffen Dalsgaard, Endre Dányi, Marisol de la Cadena, Marianne de Laet, Carolina Domínguez Guzmán, Rachel Douglas-Jones, Clément Dréano, Joseph Dumit, Melanie Ford Lemus, Elaine Gan, Oliver Human, Alberto Corsín Jiménez, Graham M. Jones, Trine Mygind Korsby, Justine Laurent, James Maguire, George E. Marcus, Annemarie Mol, Sarah Pink, Els Roding, Markus Rudolfi, Ulrike Scholtes, Anthony Stavrianakis, Lucy Suchman, Katie Ulrich, Helen Verran, Else Vogel, Antonia Walford, Karen Waltorp, Laura Watts, Brit Ross Winthereik
Publisher: Duke University Press
ISBN: 1478013214
Category : Social Science
Languages : en
Pages : 219
Book Description
Experimenting with Ethnography collects twenty-one essays that open new paths for doing ethnographic analysis. The contributors—who come from a variety of intellectual and methodological traditions—enliven analysis by refusing to take it as an abstract, disembodied exercise. Rather, they frame it as a concrete mode of action and a creative practice. Encompassing topics ranging from language and the body to technology and modes of collaboration, the essays invite readers to focus on the imaginative work that needs to be performed prior to completing an argument. Whether exchanging objects, showing how to use drawn images as a way to analyze data, or working with smartphones, sound recordings, and social media as analytic devices, the contributors explore the deliberate processes for pursuing experimental thinking through ethnography. Practical and broad in theoretical scope, Experimenting with Ethnography is an indispensable companion for all ethnographers. Contributors. Patricia Alvarez Astacio, Andrea Ballestero, Ivan da Costa Marques, Steffen Dalsgaard, Endre Dányi, Marisol de la Cadena, Marianne de Laet, Carolina Domínguez Guzmán, Rachel Douglas-Jones, Clément Dréano, Joseph Dumit, Melanie Ford Lemus, Elaine Gan, Oliver Human, Alberto Corsín Jiménez, Graham M. Jones, Trine Mygind Korsby, Justine Laurent, James Maguire, George E. Marcus, Annemarie Mol, Sarah Pink, Els Roding, Markus Rudolfi, Ulrike Scholtes, Anthony Stavrianakis, Lucy Suchman, Katie Ulrich, Helen Verran, Else Vogel, Antonia Walford, Karen Waltorp, Laura Watts, Brit Ross Winthereik