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A Course of Pure Mathematics
by G. H. HardyThis is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
A Course of Pure Mathematics (Cambridge Mathematical Library)
by G. H. HardyOriginally published in 1908, this classic calculus text transformed university teaching and remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of the mathematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, and properties of cos, sin, and log. Meticulous expositions detail the fundamental ideas underlying differential and integral calculus, the properties of infinite series, and the notion of limit. An expert in the fields of analysis and number theory, author G. H. Hardy taught for decades at both Cambridge and Oxford. A Course of Pure Mathematics is suitable for college and high school students and teachers of calculus as well as fans of pure math. Each chapter includes demanding problem sets that allow students to apply the principles directly, and four helpful Appendixes supplement the text.
A Course on Basic Model Theory
by Shashi Mohan Srivastava Haimanti SarbadhikariThis self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.
A Course on Group Theory (Dover Books on Mathematics)
by John S. RoseThis textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.
A Course on Hopf Algebras (Universitext)
by Rinat KashaevThis textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of solutions of the Yang–Baxter equations. Starting with a reformulation of the definition of a group in terms of structural maps as motivation for the definition of a Hopf algebra, the book introduces the related algebraic notions: algebras, coalgebras, bialgebras, convolution algebras, modules, comodules. Next, Drinfel’d’s quantum double construction is achieved through the important notion of the restricted (or finite) dual of a Hopf algebra, which allows one to work purely algebraically, without completions. As a result, in applications to knot theory, to any Hopf algebra with invertible antipode one can associate a universal invariant of long knots. These constructions are elucidated in detailed analyses of a few examples of Hopf algebras. The presentation of the material is mostly based on multilinear algebra, with all definitions carefully formulated and proofs self-contained. The general theory is illustrated with concrete examples, and many technicalities are handled with the help of visual aids, namely string diagrams. As a result, most of this text is accessible with minimal prerequisites and can serve as the basis of introductory courses to beginning graduate students.
A Course on Mathematical Logic (Universitext)
by Shashi Mohan SrivastavaThis is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel's incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more.
A Course on Queueing Models
by Joti Lal Jain Walter Böhm Sri Gopal MohantyThe application of engineering principles in divergent fields such as management science and communications as well as the advancement of several approaches in theory and computation have led to growing interest in queueing models, creating the need for a comprehensive text. Emphasizing Markovian structures and the techniques that occur in differen
A Course on Small Area Estimation and Mixed Models: Methods, Theory and Applications in R (Statistics for Social and Behavioral Sciences)
by Domingo Morales María Dolores Esteban Agustín Pérez Tomáš HobzaThis advanced textbook explores small area estimation techniques, covers the underlying mathematical and statistical theory and offers hands-on support with their implementation. It presents the theory in a rigorous way and compares and contrasts various statistical methodologies, helping readers understand how to develop new methodologies for small area estimation. It also includes numerous sample applications of small area estimation techniques. The underlying R code is provided in the text and applied to four datasets that mimic data from labor markets and living conditions surveys, where the socioeconomic indicators include the small area estimation of total unemployment, unemployment rates, average annual household incomes and poverty indicators. Given its scope, the book will be useful for master and PhD students, and for official and other applied statisticians.
A Course on Statistics for Finance
by Stanley L. Sclove<p>Taking a data-driven approach, A Course on Statistics for Finance presents statistical methods for financial investment analysis. The author introduces regression analysis, time series analysis, and multivariate analysis step by step using models and methods from finance. <p>The book begins with a review of basic statistics, including descriptive statistics, kinds of variables, and types of data sets. It then discusses regression analysis in general terms and in terms of financial investment models, such as the capital asset pricing model and the Fama/French model. It also describes mean-variance portfolio analysis and concludes with a focus on time series analysis. <p>Providing the connection between elementary statistics courses and quantitative finance courses, this text helps both existing and future quants improve their data analysis skills and better understand the modeling process.</p>
A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
by Jürgen VoigtThis book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
A Course on Tug-of-War Games with Random Noise: Introduction and Basic Constructions (Universitext)
by Marta LewickaThis graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise.The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.
A Cp-Theory Problem Book: Functional Equivalencies (Problem Books in Mathematics #0)
by Vladimir V. TkachukThis fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of t-equivalent, u-equivalent and l-equivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems and dimension theory. Moreover, the inclusion of Kolmogorov's solution of Hilbert's Problem 13 is included as it is needed for the presentation of the theory of l-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of non-preservation of compactness by t-equivalence, Okunev's method of constructing l-equivalent spaces and the theorem of Marciszewski and Pelant on u-invariance of absolute Borel sets.
A Cp-Theory Problem Book: Special Features of Function Spaces (Problem Books in Mathematics #0)
by Vladimir V. TkachukThis work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.
A Crash Course in SPSS for Windows
by Briony D. Pulford Andrew M. ColmanThis quick, simple, and user-friendly introduction to SPSS for Windows has now been updated so that it can be used with Versions 14 to 16 of the software. For this edition, a section has been added on partial correlation, together with new material on sorting, classifying, and coding data, inserting variables and cases, and paneling charts and graphs, and the chapter on charts and graphs has been completely rewritten in line with changes to the SPSS Chart Builder. The supporting website allows data sets used in the book to be downloaded from the Internet and provides additional examples from various social science disciplines.The fourth edition retains all of the features that have made the text so attractive to students and teachers:The material is concise and focused, enabling most users to learn the basics comfortably within 10 hours.All the most widely used statistical techniques and graphic facilities in SPSS for Windows are clearly described.Every statistical procedure is explained with the help of a step-by-step analysis of a numerical example taken from real data in published research.The authors have chosen small data sets so that readers do not waste unnecessary time inputting data.Screenshots on the page make it easy for students to cross between the text and the screen.Online support material to accompany the text is available at www.blackwellpublishing.com/crashcourse/
A Crash Course in Statistics
by Ryan J. WinterA Crash Course in Statistics is a short introduction to key statistical methods including descriptive statistics, one-way and two-way ANOVA, the t-test, and Chi Square. Each of the five chapters provides an overview of each method, and then walks readers through a relevant example, using SPSS to highlight how to run the statistics and how to write up the results in APA style. Each chapter ends with a self-quiz so that readers can assess their understanding of each statistical concept. This "crash course" supplement is a must-have statistics refresher for students taking research methods classes; a handy additional reference for introductory statistics students; and a guide for anyone who needs to be a consumer of statistics.
A Crash Course in Statistics
by Ryan J. WinterA Crash Course in Statistics is a short introduction to key statistical methods including descriptive statistics, one-way and two-way ANOVA, the t-test, and Chi Square. Each of the five chapters provides an overview of each method, and then walks readers through a relevant example, using SPSS to highlight how to run the statistics and how to write up the results in APA style. Each chapter ends with a self-quiz so that readers can assess their understanding of each statistical concept. This "crash course" supplement is a must-have statistics refresher for students taking research methods classes; a handy additional reference for introductory statistics students; and a guide for anyone who needs to be a consumer of statistics.
A Criminologist's Guide to R: Crime by the Numbers (Chapman & Hall/CRC The R Series)
by Jacob KaplanA Criminologist's Guide to R: Crime by the Numbers introduces the programming language R and covers the necessary skills to conduct quantitative research in criminology. By the end of this book, a person without any prior programming experience can take raw crime data, be able to clean it, visualize the data, present it using R Markdown, and change it to a format ready for analysis. A Criminologist's Guide to R focuses on skills specifically for criminology such as spatial joins, mapping, and scraping data from PDFs, however any social scientist looking for an introduction to R for data analysis will find this useful. Key Features: Introduction to RStudio including how to change user preference settings. Basic data exploration and cleaning – subsetting, loading data, regular expressions, aggregating data. Graphing with ggplot2. How to make maps (hotspot maps, choropleth maps, interactive maps). Webscraping and PDF scraping. Project management – how to prepare for a project, how to decide which projects to do, best ways to collaborate with people, how to store your code (using git), and how to test your code.
A Critical Introduction to Mathematics Education: Human Diversity and Equitable Instruction (Critical Introductions in Education)
by Mark WolfmeyerThe second edition of Mark Wolfmeyer’s award-winning primer offers future and current math teachers an introduction to the connections that exist between mathematics and a critical orientation to education, one that accounts for race, social class, gender, sexuality, language diversity, and ability. Expanded and updated from the first edition, this book demonstrates how elements of human diversity and intersectionality have real effects in the mathematics classroom, and prepares teachers with a more critical math education that increases accessibility and equity for all students. By refocusing math learning toward the goals of democracy and social and environmental crises, the book also introduces readers to broader contemporary school policy and reform debates and struggles, especially in light of Covid-19 and the ongoing struggle for racial equity. Featuring concrete strategies and examples in both formal and informal educational settings, as well as discussion questions for teachers and students, text boxes with examples of critical education in practice, a glossary, and suggestions for further reading, Mark Wolfmeyer shows how critical mathematics education can be put into practice, relevant for undergraduate and graduate students in education, current teachers, and teacher educators.
A Cultural History Of The British Census
by Kathrin LevitanThe book explores the hotly disputed process by which the census was created and developed and examines how a wide cast of characters, including statisticians, novelists, national and local officials, political and social reformers, and journalists responded to and used the idea of a census.
A Cultural History of Physics
by Károly SimonyiWhile the physical sciences are a continuously evolving source of technology and of understanding about our world, they have become so specialized and rely on so much prerequisite knowledge that for many people today the divide between the sciences and the humanities seems even greater than it was when C. P. Snow delivered his famous 1959 lecture, "The Two Cultures." In A Cultural History of Physics, Hungarian scientist and educator Károly Simonyi succeeds in bridging this chasm by describing the experimental methods and theoretical interpretations that created scientific knowledge, from ancient times to the present day, within the cultural environment in which it was formed. Unlike any other work of its kind, Simonyi’s seminal opus explores the interplay of science and the humanities to convey the wonder and excitement of scientific development throughout the ages. These pages contain an abundance of excerpts from original resources, a wide array of clear and straightforward explanations, and an astonishing wealth of insight, revealing the historical progress of science and inviting readers into a dialogue with the great scientific minds that shaped our current understanding of physics. Beautifully illustrated, accurate in its scientific content and broad in its historical and cultural perspective, this book will be a valuable reference for scholars and an inspiration to aspiring scientists and humanists who believe that science is an integral part of our culture.
A Cultural History of Reforming Math for All: The Paradox of Making In/equality (Routledge Cultural Studies in Knowledge, Curriculum, and Education)
by Jennifer D. DiazWhile many accept that math is a universal, culturally indifferent subject in school, this book demonstrates that this is anything but true. Building off of a historically conscious understanding of school reform, Diaz makes the case that the language of mathematics, and the symbols through which it is communicated, is not merely about the alleged cultural indifference of mathematical thinking; rather, mathematical teaching relates to historical, cultural, political, and social understandings of equality that order who the child is and should be. Focusing on elementary math for all education reforms in America since the mid-twentieth century, Diaz offers an alternative way of thinking about the subject that recognizes the historical making of contemporary notions of inequality and difference.
A Damn Near Perfect Game: Reclaiming America's Pastime
by Joe Kelly Rob BradfordBaseball’s most outspoken fireballer brings the high heat—calling out the hacks, cheats, and ridiculous rules that have tarnished the game—and pitches a-plus stuff on how to make baseball pure, fun, and damn near perfect. Baseball has an image problem. The chorus of nonbelievers gets louder every year, and the Major Leagues have made an art of tuning them out. Enter Joe Kelly: a walking, talking, fast-ball-throwing embodiment of why baseball matters. He and his All-Star team of athletes and celebrities have some things to say about what’s gone wrong with our once great game and how to fix it. A Damn Near Perfect Game is the loudest insider’s exposé of the laws and culture of Major League Baseball since Jim Bouton’s classic Ball Four. From Kelly’s perspective as a two-time World Series champion and baseball’s most memeable player according to ESPN, he takes readers on a house-cleaning tour of the clubhouse, the field of play, the bullpen, the front office, the commissioner’s office, and a ballplayer’s restricted life off the field. Kelly has something to say about baseball’s rule changes (pitch clocks, limiting defensive shifts, the designated hitter); hacks (overused analytics, sign-stealing); stale promotion to new fans; and encouraging players’ emotions (let them fight, bat-flip, and talk sh*t!). Plus, he details how he aired his complaints in an illuminating meeting with commissioner Rob Manfred. And to show what happens when baseball has some piss and vinegar, Kelly gives the inside scoop on his legendary exploits—starting a bench-clearing brawl with the Yankees’ Tyler Austin, his famous “pouty face” scene when calling out the notorious sign-stealing Houston Astros, and wearing a mariachi jacket to visit the White House with his World Series champion LA Dodgers.
A Data Scientist's Guide to Acquiring, Cleaning, and Managing Data in R
by Samuel E. Buttrey Lyn R. WhitakerThe only how-to guide offering a unified, systemic approach to acquiring, cleaning, and managing data in R Every experienced practitioner knows that preparing data for modeling is a painstaking, time-consuming process. Adding to the difficulty is that most modelers learn the steps involved in cleaning and managing data piecemeal, often on the fly, or they develop their own ad hoc methods. This book helps simplify their task by providing a unified, systematic approach to acquiring, modeling, manipulating, cleaning, and maintaining data in R. Starting with the very basics, data scientists Samuel E. Buttrey and Lyn R. Whitaker walk readers through the entire process. From what data looks like and what it should look like, they progress through all the steps involved in getting data ready for modeling. They describe best practices for acquiring data from numerous sources; explore key issues in data handling, including text/regular expressions, big data, parallel processing, merging, matching, and checking for duplicates; and outline highly efficient and reliable techniques for documenting data and recordkeeping, including audit trails, getting data back out of R, and more. The only single-source guide to R data and its preparation, it describes best practices for acquiring, manipulating, cleaning, and maintaining data Begins with the basics and walks readers through all the steps necessary to get data ready for the modeling process Provides expert guidance on how to document the processes described so that they are reproducible Written by seasoned professionals, it provides both introductory and advanced techniques Features case studies with supporting data and R code, hosted on a companion website A Data Scientist's Guide to Acquiring, Cleaning and Managing Data in R is a valuable working resource/bench manual for practitioners who collect and analyze data, lab scientists and research associates of all levels of experience, and graduate-level data mining students.
A Database for a Changing Economy: Review of the Occupational Information Network (O*NET)
by National Research Council of the National AcademiesInformation about the characteristics of jobs and the individuals who fill them is valuable for career guidance, reemployment counseling, workforce development, human resource management, and other purposes. To meet these needs, the U.S. Department of Labor (DOL) in 1998 launched the Occupational Information Network (O*NET), which consists of a content model--a framework for organizing occupational data--and an electronic database. The O*NET content model includes hundreds of descriptors of work and workers organized into domains, such as skills, knowledge, and work activities. Data are collected using a classification system that organizes job titles into 1,102 occupations. The National Center for O*NET Development (the O*NET Center) continually collects data related to these occupations. In 2008, DOL requested the National Academies to review O*NET and consider its future directions. In response, the present volume inventories and evaluates the uses of O*NET; explores the linkage of O*NET with the Standard Occupational Classification System and other data sets; and identifies ways to improve O*NET, particularly in the areas of cost-effectiveness, efficiency, and currency.
A Decade of Research Activities at the Department of Industrial Engineering: From Five Existing Departments to the Excellence in Research (Springer Aerospace Technology)
by Sergio De Rosa Nicola Bianco Agostino De Marco Michele GrassiThis open access book celebrates the decennial of the Department of Industrial Engineering of Università di Napoli Federico II, Italy. It covers the main research achievements developed at the department in the fields of aerospace, marine, energy, statistical, mechanical and management engineering. Five pre-existing departments merged in 2013, and the research results are here summarized to certify how important it was to join skills, expertise, and projects. The industrial engineering area is huge, but it is now dominated by the need to conceive and analyze new solutions, human and climate oriented to face with the actual challenges which dictate the new paradigm, which evolved from “is it feasible?” to “is it compatible with the environment and the human beings?”. There is still a lot to do, but the contents of this book demonstrate that the first steps have been done. All the researchers of the department have contributed to this book, more than 140 authors, and thus, it isthe collective outcome of the path they were able to perform all together, including administrative officers and technicians. It highlights the international relevance and multidisciplinarity of research at the university as well as the planned research lines for the next years.