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An R Companion for Applied Statistics II: Multivariable and Multivariate Techniques
by Danney RascoAn R Companion for Applied Statistics II: Multivariable and Multivariate Techniques breaks the language of the R software down into manageable chunks in order to help students learn how to use R to analyze multivariate data. The book focuses on the statistics generally covered in an intermediate or multivariate statistics course and provides one or two ways to run each analysis in R. The book has been designed to be an R companion to Rebecca M. Warner′s Applied Statistics II: Third Edition, and includes end-of-chapter instructions for replicating the examples from that book in R. However, this text can also be used as a stand-alone R guide for a multivariate statistics course, without reference to the Warner text. Datasets and scripts to run the examples are provided on an accompanying website.
An R Companion to Applied Regression
by John Fox Sanford WeisbergAn R Companion to Applied Regression is a broad introduction to the R statistical computing environment in the context of applied regression analysis. John Fox and Sanford Weisberg provide a step-by-step guide to using the free statistical software R, an emphasis on integrating statistical computing in R with the practice of data analysis, coverage of generalized linear models, and substantial web-based support materials. The Third Edition has been reorganized and includes a new chapter on mixed-effects models, new and updated data sets, and a de-emphasis on statistical programming, while retaining a general introduction to basic R programming. The authors have substantially updated both the car and effects packages for R for this edition, introducing additional capabilities and making the software more consistent and easier to use. They also advocate an everyday data-analysis workflow that encourages reproducible research. To this end, they provide coverage of RStudio, an interactive development environment for R that allows readers to organize and document their work in a simple and intuitive fashion, and then easily share their results with others. Also included is coverage of R Markdown, showing how to create documents that mix R commands with explanatory text. "An R Companion to Applied Regression continues to provide the most comprehensive and user-friendly guide to estimating, interpreting, and presenting results from regression models in R." –Christopher Hare, University of California, Davis
An R Companion to Applied Regression
by John Fox Sanford WeisbergAn R Companion to Applied Regression is a broad introduction to the R statistical computing environment in the context of applied regression analysis. John Fox and Sanford Weisberg provide a step-by-step guide to using the free statistical software R, an emphasis on integrating statistical computing in R with the practice of data analysis, coverage of generalized linear models, and substantial web-based support materials. The Third Edition has been reorganized and includes a new chapter on mixed-effects models, new and updated data sets, and a de-emphasis on statistical programming, while retaining a general introduction to basic R programming. The authors have substantially updated both the car and effects packages for R for this edition, introducing additional capabilities and making the software more consistent and easier to use. They also advocate an everyday data-analysis workflow that encourages reproducible research. To this end, they provide coverage of RStudio, an interactive development environment for R that allows readers to organize and document their work in a simple and intuitive fashion, and then easily share their results with others. Also included is coverage of R Markdown, showing how to create documents that mix R commands with explanatory text. "An R Companion to Applied Regression continues to provide the most comprehensive and user-friendly guide to estimating, interpreting, and presenting results from regression models in R." –Christopher Hare, University of California, Davis
An R Companion to Linear Statistical Models
by Christopher Hay-JahansThis work was prepared to serve as an R supplement for textbooks on Linear Statistical Models. It provides computational and coding details on the use of R that textbooks do not. Topics covered include simple and multiple linear regression models, models for one- and two-factor fixed-effects designs, covariance models, and models for randomized complete block designs. The text can serve as both a course supplement and a fairly detailed self-help resource. The development of grass-roots code alongside demonstrations of pre-packaged routines provides users with illustrations on how to develop their own programs with R.
An SPSS Companion to Political Analysis
by Philip H. PollockIn this much-anticipated revision of Pollock's popular SPSS workbook, students dive headfirst into actual political data and work with a software tool that prepares them for future political science research. Students learn by doing with guided examples, more than 120 screenshots, and step-bystep instructions.
An Undergraduate Primer in Algebraic Geometry (UNITEXT #129)
by Ciro CilibertoThis book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems.The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology.This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
An Unsolved Proof: The Math Kids (Book 9) (The Math Kids)
by David ColeHidden cameras, secret operations, and new math concepts await in the Math Kids' ninth adventure!Justin has been accused of stealing from the comic book shop! To earn back the trust of his parents and the store manager, he'll have to work at the shop for four whole weekends. And that puts a damper on his plans to play video games and hang out with fellow Math Kids, Jordan, Catherine, and Stephanie. With the end of summer approaching, the four friends realize that finding proof of Justin's innocence is their only way to save Justin's good name. To get it, they'll need to uncover who really stole the comics. Their primary suspects are the two older boys who accused Justin, but catching them red-handed will require more than just teamwork. Solving this problem will require knowledge of proofs and patterns, and if the Math Kids aren't successful, it won't be just Justin's reputation at risk.
An Unusual Pattern: The Math Kids (Book 3) (The Math Kids)
by David ColeThe Math Kids are at it again! When their new friend, Special Agent Carlson, asks them to take a look at a cryptic poem written by a dying bank robber, they know they will need all of their math skills to crack the case. The poem isn't their only problem, though. Their favourite school janitor is fired for stealing from student lockers. The Math Kids know Old Mike would never do anything like that, but how can they prove it, especially with the new janitor watching their every move? Jordan, Stephanie, Justin, and Catherine will need math, bravery, and a little bit of luck if they hope to solve the bank robbery case and get Old Mike his job back. Will they be able to figure out the unusual pattern in time? The Math Kids: An Unusual Pattern is the third book in David Cole's fast-moving math adventure series.
An den Grenzen des Endlichen: Das Hilbertprogramm im Kontext von Formalismus und Finitismus (Mathematik im Kontext)
by Christian TappDer Mathematiker David Hilbert entwickelte mit seiner Beweistheorie ein Programm zur Grundlegung der Mathematik. In der ersten deutschsprachigen Monographie zum Thema bietet der Autor neue Deutungen des Hilbertprogramms. Ausgehend von den historischen Quellen stellt er die Frage neu, ob Hilbert eine formalistische Philosophie der Mathematik voraussetzte. Er macht die Fülle der Ideen sichtbar, die Hilbert und seine Schüler formulierten, diskutiert anspruchsvolle philosophische Implikationen und räumt mit einer Reihe von Fehlinterpretationen auf.
Analogue Gravity Phenomenology: Analogue Spacetimes and Horizons, from Theory to Experiment (Lecture Notes in Physics #870)
by Ugo Moschella Vittorio Gorini Sergio Cacciatori Francesco Belgiorno Stefano Liberati Daniele FaccioAnalogue Gravity Phenomenology is a collection of contributions that cover a vast range of areas in physics, ranging from surface wave propagation in fluids to nonlinear optics. The underlying common aspect of all these topics, and hence the main focus and perspective from which they are explained here, is the attempt to develop analogue models for gravitational systems. The original and main motivation of the field is the verification and study of Hawking radiation from a horizon: the enabling feature is the possibility to generate horizons in the laboratory with a wide range of physical systems that involve a flow of one kind or another. The years around 2010 and onwards witnessed a sudden surge of experimental activity in this expanding field of research. However, building an expertise in analogue gravity requires the researcher to be equipped with a rather broad range of knowledge and interests. The aim of this book is to bring the reader up to date with the latest developments and provide the basic background required in order to appreciate the goals, difficulties, and success stories in the field of analogue gravity. Each chapter of the book treats a different topic explained in detail by the major experts for each specific discipline. The first chapters give an overview of black hole spacetimes and Hawking radiation before moving on to describe the large variety of analogue spacetimes that have been proposed and are currently under investigation. This introductory part is then followed by an in-depth description of what are currently the three most promising analogue spacetime settings, namely surface waves in flowing fluids, acoustic oscillations in Bose-Einstein condensates and electromagnetic waves in nonlinear optics. Both theory and experimental endeavours are explained in detail. The final chapters refer to other aspects of analogue gravity beyond the study of Hawking radiation, such as Lorentz invariance violations and Brownian motion in curved spacetimes, before concluding with a return to the origins of the field and a description of the available observational evidence for horizons in astrophysical black holes.
Analogue Quantum Simulation: A New Instrument for Scientific Understanding
by Dominik Hangleiter Jacques Carolan Karim P. ThébaultThis book presents fresh insights into analogue quantum simulation. It argues that these simulations are a new instrument of science. They require a bespoke philosophical analysis, sensitive to both the similarities to and the differences with conventional scientific practices such as analogical argument, experimentation, and classical simulation.The analysis situates the various forms of analogue quantum simulation on the methodological map of modern science. In doing so, it clarifies the functions that analogue quantum simulation serves in scientific practice. To this end, the authors introduce a number of important terminological distinctions. They establish that analogue quantum ‘computation' and ‘emulation' are distinct scientific practices and lead to distinct forms of scientific understanding. The authors also demonstrate the normative value of the computation vs. emulation distinction at both an epistemic and a pragmatic level.The volume features a range of detailed case studies focusing on: i) cold atom computation of many-body localisation and the Higgs mode; ii) photonic emulation of quantum effects in biological systems; and iii) emulation of Hawing radiation in dispersive optical media. Overall, readers will discover a normative framework to isolate and support the goals of scientists undertaking analogue quantum simulation and emulation. This framework will prove useful to both working scientists and philosophers of science interested in cutting-edge scientific practice.
Analyse empirischer und experimenteller Daten: Ein kompakter Überblick für Studierende und Anwender (essentials)
by Siegmund BrandtDiese kompakte Einführung enthält die wichtigsten Grundlagen der mathematischen Statistik, die Beschreibung von Messungen und deren Fehler als Ergebnisse von Stichproben und die Methode der kleinsten Quadrate, angewandt auf verschieden schwierige konkrete Beispiele. Zusätzlich werden kurze Hinweise auf weitere Verfahren der Datenanalyse gegeben.
Analyse qualitativer Daten mit MAXQDA: Text, Audio und Video
by Udo Kuckartz Stefan RädikerDieses Buch vermittelt auf verständliche Weise das Wissen, um qualitative und Mixed-Methods-Daten mit MAXQDA auszuwerten. Die Autoren verfügen über jahrzehntelange Forschungserfahrung und decken in diesem Buch ein breites Methodenspektrum ab. Sie beschränken sich nicht auf einzelne Forschungsansätze, sondern vermitteln das Know-how, um verschiedene Methoden – von der Grounded Theory über Diskursanalysen bis zur Qualitativen Inhaltsanalyse – mit MAXQDA umsetzen zu können. Darüber hinaus werden spezielle Themen fokussiert, wie Transkription, Kategorienbildung, Visualisierungen, Videoanalyse, Concept-Maps, Gruppenvergleiche und die Erstellung von Literaturreviews.
Analyse von Transferprozessen in der Entwicklung des Bruchzahlbegriffs: Theoretische Rahmung und empirische Untersuchung (Bielefelder Schriften zur Didaktik der Mathematik #6)
by Sebastian KollhoffSebastian Kollhoff rekonstruiert und analysiert in diesem Open-Access-Buch in einer Feldstudie mit Fünftklässlerinnen und Fünftklässlern Transferprozesse in der Entwicklung von Grundvorstellungen zu Brüchen. Anhand von umfassenden Detailanalysen der Bearbeitungen von Lernenden im alltäglichen Unterricht charakterisiert der Autor den Verlauf von Prozessen des Transfers, die das Potenzial haben fachlich optimiertes Lernen zu initiieren, aber auch die Gefahr bergen dieses zu behindern. Dabei arbeitet er heraus, dass sich bereits bei ersten elementaren Transferschritten erhebliche individuelle Unterschiede in der Ausprägung des Transfers ergeben.
Analysing China's Population: Social Change in a New Demographic Era (INED Population Studies #3)
by Isabelle Attané Baochang GuBased on China's recently released 2010 population census data, this edited volume analyses the most recent demographic trends in China, in the context of significant social and economic upheavals. The editor and the expert contributors describe the main features of China's demography, and focus on the details of this latest phase of its demographic transition. The book explores such striking characteristics of China's demography as the changing age and sex population structure; recent trends in marriage and divorce; fertility trends with a focus on sex imbalance at birth; the demography of the ethnic minorities and recent mortality trends by sex. Analysing China's Population: Social Change in a New Demographic Era examines and assesses the impact of changes that in the coming decades will be crucial for individuals, and the larger society and economy of the nation.
Analysing Economic Data: A Concise Introduction (Palgrave Texts in Econometrics)
by Terence C. MillsCovers the key issues required for students wishing to understand and analyse the core empirical issues in economics. It focuses on descriptive statistics, probability concepts and basic econometric techniques and has an accompanying website that contains all the data used in the examples and provides exercises for undertaking original research.
Analysing Historical Mathematics Textbooks (International Studies in the History of Mathematics and its Teaching)
by Gert SchubringThis book is about the creation and production of textbooks for learning and teaching mathematics. It covers a period from Antiquity to Modern Times. The analysis begins by assessing principal cultures with a practice of mathematics. The tension between the role of the teacher and his oral mode, on the one hand, and the use of a written (printed) text, in their respective relation with the student, is one of the dimensions of the comparative analysis, conceived of as the ‘textbook triangle’. The changes in this tension with the introduction of the printing press are discussed. The book presents various national case studies (France, Germany, Italy) as well as analyses of the internationalisation of textbooks via transmission processes. As this topic has not been sufficiently explored in the literature, it will be very well received by scholars of mathematics education, mathematics teacher educators and anyone with an interest in the field.
Analysing Inequalities in Germany: A Structured Additive Distributional Regression Approach (SpringerBriefs in Statistics)
by Alexander SilbersdorffThis book seeks new perspectives on the growing inequalities that our societies face, putting forward Structured Additive Distributional Regression as a means of statistical analysis that circumvents the common problem of analytical reduction to simple point estimators. This new approach allows the observed discrepancy between the individuals' realities and the abstract representation of those realities to be explicitly taken into consideration using the arithmetic mean alone. In turn, the method is applied to the question of economic inequality in Germany.
Analysing Population Trends: Differential Fertility in a Pluralistic Society (Routledge Library Editions: Demography #4)
by Lincoln H. DayOriginally published in 1983, this book examines the problems of fertility in predicting population trends. It varies a great deal according to mothers’ ages, ethnic groups, place and time. It is important for demographers, planners and policy-makers to know precisely what fertility differences are, what gives rise to them and how they can be handled and predicted statistically. This volume discusses these challenges in detail and analyses information to show how factors like religion, place of birth and socio-economic grouping affect fertility. .
Analysing Seasonal Health Data (Statistics for Biology and Health)
by Adrian G. Barnett Annette J. DobsonSeasonal patterns have been found in a remarkable range of health conditions, including birth defects, respiratory infections and cardiovascular disease. Accurately estimating the size and timing of seasonal peaks in disease incidence is an aid to understanding the causes and possibly to developing interventions. With global warming increasing the intensity of seasonal weather patterns around the world, a review of the methods for estimating seasonal effects on health is timely. This is the first book on statistical methods for seasonal data written for a health audience. It describes methods for a range of outcomes (including continuous, count and binomial data) and demonstrates appropriate techniques for summarising and modelling these data. It has a practical focus and uses interesting examples to motivate and illustrate the methods. The statistical procedures and example data sets are available in an R package called 'season'.
Analysis
by Norbert SteinmetzDas Buch wendet sich sowohl an Studierende aller mathematischen Fachrichtungen und mathematisch interessierte Studierende der Physik als auch an Dozentinnen und Dozenten, die den Aufbau ihres ersten Analysiskurses noch vor sich haben oder Anregungen für ihre Vorlesungen suchen. Inhalt und Form sind entstanden und vielfach erprobt in immer wieder kritisch veränderten und angepassten 3-semestrigen Analysiskursen. Etwa 2/3 des Buches decken die Erfordernisse einer 2-semestrigen Grundvorlesung Analysis ab, wohingegen das restliche Drittel Elemente der Fourieranalysis, der Differentialgeometrie, der gewöhnlichen Differentialgleichungen und der Funktionentheorie behandeln, Themen, denen eigenständige Vorlesungen auch weiterhin zu wünschen sind. Zu den Besonderheiten zählen die parallele und miteinander verzahnte Einführung des Riemann- und Lebesgueintegrals, die Einbettung einfacher Elemente der komplexen in die reelle Analysis, ausgedehnte Anwendungen – von der Heisenbergschen Unschärferelation über die Lösung der Wärmeleitungsgleichung bis hin zur Black-Scholes-Formel – sowie die Darstellung der Methode von Ostrogradski und des Dixon-Beweises der allgemeinen Cauchyschen Integralformel. Dass an verschiedenen Stellen die eingefahrenen Pfade verlassen wurden, wird der kundigen Leserschaft nicht verborgen bleiben. Die Frage „abstrakt oder anschaulich-verständlich“ wird konsequent zugunsten des letzteren entschieden. Die Übungsaufgaben sind in den laufenden Text eingebaut in der Hoffnung, dass sie so mehr Beachtung finden. Schließlich vermitteln die historischen Anmerkungen und Kurzbiographien einen Eindruck davon, wie die Analysis sich entwickelt hat und wer wesentlich an dieser Entwicklung beteiligt war.
Analysis 1: Differential- und Integralrechnung einer Veränderlichen (Grundkurs Mathematik)
by Otto Forster Florian LindemannDieses fest etablierte Lehrbuch begleitet Studierende der Mathematik, Physik und Informatik seit über vier Jahrzehnten durch die Analysis des ersten Semesters. Es gelangt in systematischer Weise, aber ohne zu große Abstraktionen, einfach und verständlich zu den grundlegenden Begriffen (Konvergenz von Folgen und Reihen, Stetigkeit, Differentiation, Riemannsches Integral) und illustriert sie mit zahlreichen Beispielen. Die numerische Seite der Analysis wird an verschiedenen Stellen beleuchtet, um den Grenzwertbegriff konkreter zu machen. Das Buch schließt mit zwei Kapiteln über Taylor- und Fourier-Reihen, in denen alle bis dahin gelernten Techniken zum Einsatz kommen. Jedes Kapitel enthält Übungsaufgaben zum Vertiefen der Inhalte. Für die vorliegende Auflage wurde der Text einschließlich aller Abbildungen erneut überarbeitet. Darüber hinaus ergänzen nun elektronische Flashcards das Buch: Diese per App zugänglichen Verständnisfragen unterstützen den Lernprozess und eignen sich auch sehr gut zur Prüfungsvorbereitung.
Analysis 1: Ein zuverlässiger und verständlicher Begleiter für Studium und Prüfung
by Martin Brokate Florian Lindemann Johannes ZimmerZiel dieses Lehrbuchs ist es, das Material des ersten Semesters eines Vorlesungszyklus zur Analysis prägnant und verständlich darzustellen und darüber hinaus Ausblicke und Ergänzungen zu geben, die den Stoff lebendig werden lassen. Besonderer Wert wird auf die Motivation der zu behandelnden Themen gelegt. Zu Beginn des Buchs wird die mathematische Denkweise, insbesondere Beweistechniken und axiomatisches Vorgehen, ausführlich eingeführt. Dieses Buch basiert auf Vorlesungen, die regelmäßig und seit vielen Jahren an der TU München abgehalten werden. Zahlreiche Abbildungen veranschaulichen die behandelten Konzepte und Ideen. Zudem ermöglicht dieses Lehrbuch den Zugriff auf mehr als 250 interaktive Aufgaben in der Springer Nature Flashcards-App, mit denen Wissen und Verständnis überprüft werden kann – hervorragend geeignet auch zur Prüfungsvorbereitung.
Analysis 2: Differentialrechnung im ℝⁿ, gewöhnliche Differentialgleichungen (Grundkurs Mathematik)
by Otto Forster Florian LindemannDieses fest etablierte Lehrbuch begleitet Studierende der Mathematik, Physik und Informatik durch die Analysis des zweiten Semesters, genauer: durch die mehrdimensionale Differentialrechnung sowie die gewöhnlichen Differentialgleichungen. Bei der Darstellung wurden allzu große Abstraktionen vermieden, stattdessen wird die Theorie durch viele konkrete Beispiele erläutert – insbesondere solche, die für die Physik relevant sind. Jedes Kapitel enthält Übungsaufgaben zum Vertiefen der Inhalte. Für die vorliegende Auflage wurde der Text vollständig überarbeitet. Darüber hinaus ergänzen nun elektronische Flashcards das Buch: Diese per App zugänglichen Verständnisfragen unterstützen den Lernprozess und eignen sich auch sehr gut zur Prüfungsvorbereitung.
Analysis I
by Adrian ConstantinDas Buch umfasst die Analysis in einer Veränderlichen. Es behandelt den Stoff der Vorlesung Analysis 1, wie er gewöhnlich an Hochschulen im deutschsprachigen Raum gelehrt wird und ist sowohl als Lehrbuch als auch zum vertiefenden Selbststudium geeignet. Zahlreiche Beispiele und Übungsaufgaben werden bereitgestellt. Geschichtliche Hintergründe sind durchgehend zu finden. Darüber hinaus wird das wechselseitig fordernde Ineinandergreifen von Theorie und Anwendungen anhand vieler ausführlich beschriebener Themen veranschaulicht, und kurze Erläuterungen bieten eine Einsichtsperspektive zu fortgeschritteneren Gebieten der Analysis.