Calculus I
This Calculus I workbook is designed to provide structure to the Peer-Led Team Learning (PLTL) Workshop. These materials, originally developed from courses at the University of Maine, Morehouse College, and Prince George's Community College in Maryland, have been tested and provide students with many valuable tools for success.Each unit in this publication falls into one of three categories: (1) a discovery workshop, best offered before discussion of a concept occurs in class, with the goal that your learning will be enhanced through discovering an idea with peers; (2) an exploratory workshop, best offered after a concept is discussed in class so you can explore concepts in more depth with the goal of deepening your understanding of the idea; (3) a review workshop that is offered so you can practice important skills. You may be asked to complete the entire workshop, or selected parts because of the extensive nature of the topic and/or time constraints.
Blueprints
"A stunning book ... a thrilling read" (Peter Frankopan) that reveals how creative people can harness the profound and productive relationship between mathematics and the arts When Shakespeare has the Three Witches cast Macbeth's lot, he uses something very weird to do it: not simply "eye of newt and toe of frog," but the number seven. And when Hamlet claims, "To be or not to be, that is the question," Shakespeare reaches for eleven. For Shakespeare, prime numbers were magical. And he is not alone. As Marcus du Sautoy showcases in Blueprints, creativity is inseparable from mathematics. The designs of Le Corbusier and Leonardo; the music of Glass, Bach, and Debussy; the wild visions of Dali, the choreography of Laban, the animation of Pixar--all are shot through with mathematics, from primes and fractals to the weirder worlds of Hamiltonian cycles and hyperbolic geometry. And Du Sautoy argues that the relationship runs both ways. Just as mathematics inspires new art, the artistic mindset is a necessity for discovering new mathematics. Blueprints will expand your mind, but more importantly, it shows how to ignite your imagination. Anyone who wants to create needs this book.
Master HiSET Math
HiSET Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived! We have helped thousands of students and we can help you! Over 200 HiSET math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! HiSET Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Real world problems with ratio and proportion One and two variable equations Solve quadratic equations given values or graphs Quadratic using different methods Basic Geometry Slope of a line Linear equations from a graph Perimeter, circumference and volume Pythagorean theorem Geometric transformations Real world problems using the properties of geometric shapesYou also receive: Math Multiple Choice Strategy- How to Study for a Math Test- How to make a study plan- How to Take a TestHiSET(R) is a registered trademark of the Educational Testing Service (ETS), who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
Statistics for Composite Indicators
This book provides a systematic and integrated approach to construct measures of complex and multidimensional concepts called composite indicators. One of the most pressing needs of scientists and policy makers is to measure phenomena that are important to our lives in society using numbers, to observe their evolution over time, and to analyse the relationships between them in order to understand the complex reality and decide on the right actions to achieve specific goals. Many socio-economic phenomena, as well as ecological, biological and of other sciences, are multidimensional and, to be measured, require the use of statistical-mathematical techniques that facilitate their reading and use for studies and analyses. This book is a guide to the knowledge and application of statistical tools suitable for the construction of "optimal" composite indicators, i.e. indicators that provide the most accurate measure of multidimensional reality. The book is aimed at all those - statisticians, sociologists, economists, and policy makers - who wish to construct composite indicators to measure and evaluate the complex reality that surrounds us.
Making Democracy Count
How we can repair our democracy by rebuilding the mechanisms that power it What's the best way to determine what most voters want when multiple candidates are running? What's the fairest way to allocate legislative seats to different constituencies? What's the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure that works for everyone. In this timely guide, Ismar Volic empowers us to use mathematical thinking as an objective, nonpartisan framework that rises above the noise and rancor of today's divided public square. Examining our representative democracy using powerful clarifying concepts, Volic shows why our current voting system stifles political diversity, why the size of the House of Representatives contributes to its paralysis, why gerrymandering is a sinister instrument that entrenches partisanship and disenfranchisement, why the Electoral College must be rethought, and what can work better and why. Volic also discusses the legal and constitutional practicalities involved and proposes a road map for repairing the mathematical structures that undergird representative government. Making Democracy Count gives us the concrete knowledge and the confidence to advocate for a more just, equitable, and inclusive democracy.
Unequal
Why the familiar equal sign is a gateway into math's--and humanity's--most profound questions    "Eugenia Cheng has opened up my mind to the wondrous world of pure mathematics in a way that I never thought was possible." ―Willow Smith, singer and actress    A New Scientist Best Book of the Year  Math is famous for its equations: 1 + 1 = 2, a^2 + b^2 = c^2, or y = mx + b. It can seem like that's all mathematics is: following steps to show that what's on one side of an equation is the same as what's on the other.    In Unequal, Eugenia Cheng shows that's just part of the story, and the boring part to boot. Mathematics is a world of shapes, symmetries, and logical ideas. And in that world, the boundary between things being equal and unequal is a gray area, or perhaps a rainbow of beautiful, vibrant, subtly nuanced color.    As Unequal shows, once you go over that rainbow, almost everything can be considered equal and unequal at the same time, whether it's shapes (seen from the right perspective, a circle is the same as an ellipse), words (synonyms), or people--even numbers! That's because mathematics isn't a series of rules, facts, or answers. It's an invitation to a more powerful way of thinking.   
Artificial Intelligence in Healthcare
The two-volume set constitutes the proceedings of the Second International Conference on Artificial Intelligence in Healthcare, AIiH 2025, which took place in Cambridge, UK, in September 2025. The 60 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Health informatics, Personalised Healthcare, Robotics, Assisted Living Technology, Computational Medicine, Long-term Health Conditions, Maternity and Women's Health and Wellbeing.
Artificial Intelligence in Healthcare
The two-volume set constitutes the proceedings of the Second International Conference on Artificial Intelligence in Healthcare, AIiH 2025, which took place in Cambridge, UK, in September 2025. The 60 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Health informatics, Personalised Healthcare, Robotics, Assisted Living Technology, Computational Medicine, Long-term Health Conditions, Maternity and Women's Health and Wellbeing.
The Pattern of Change
One of life's most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.
Probability Workbook for Dummies
Sharpen your probability skills What are the chances you'll ace your next exam? Land that promotion? Beat the house in Vegas? With Probability Workbook For Dummies, you'll stop guessing and start knowing. This book is your practical toolkit for learning to calculate the probability of, well, anything. Through crystal-clear explanations and real-world scenarios, you'll discover how probability shapes every decision you make--and how understanding it gives you a serious edge. You'll practice set theory, counting, permutations, combinations, conditional expectations, probability modeling, and beyond, and strengthen your analytical muscles with hands-on exercises that transform abstract concepts into practical skills. Probability Workbook For Dummies will help you play your cards right! Get clear explanations and examples of the key concepts of probability Boost your problem-solving abilities Gain a fundamental understanding of how probability is used in daily life Work through practice problems to solidify what you've learned This Dummies guide is a great resource for high school and college students enrolled in statistics or probability courses. It's also helpful for professionals who need a refresher, as well as anyone interested in deepening their understanding of probability.
Partial Differential Equations
Partial Differential Equations: Foundations and Applications offers a clear, precise, and conceptually rich introduction to one of the most fundamental areas of mathematics. Far beyond abstract formalism, partial differential equations form the language through which the laws of nature are expressed, governing phenomena in physics, engineering, and the life sciences - from heat diffusion and wave propagation to fluid motion, electromagnetism, and quantum systems.This volume is designed for undergraduate and postgraduate students in mathematics, physics, and engineering, as well as for motivated self-learners and researchers seeking a unified and reliable reference. It balances mathematical depth with conceptual clarity, integrating theory and application so that abstract methods emerge from physical motivations.This book includes: Fundamental definitions, classification, and formation of partial differential equations First-order partial differential equations: method of characteristics, Lagrange's method, Charpit's method, and applications such as transport equations and Burgers' equation Second-order partial differential equations: classification into hyperbolic, parabolic, and elliptic types, canonical forms, and associated physical models Separation of variables and Sturm-Liouville theory, with orthogonal functions and eigenfunction expansions Fourier series and Fourier transforms, convergence theorems, Parseval's identity, and applications to the heat and wave equations The heat, wave, and Laplace equations in one or more dimensions, steady-state and time-dependent solutions, and coordinate-based techniques Laplace transform methods for problems on semi-infinite domains, impulsive sources, and delta function initial conditions Each chapter is structured to develop both analytical techniques and physical insight, supported by solved examples and graded exercises with answers. Special attention is given to connecting mathematical derivations with their physical interpretations, ensuring the reader gains not only procedural skill but also a comprehensive insight of the underlying principles of the subject.
Banach Algebras and Harmonic Analysis
The book includes recent articles on various topics studied recently in Banach algebras and abstract harmonic analysis. On the Banach algebra side, the reader will find idempotents and socle of a Banach algebra; closed subspaces of a Banach space, including the classical sequence spaces, which are realized as the kernel of a bounded operator; the connection between the stable rank one and Dedekind-finite property of the algebra of operators on a Banach space; spectral synthesis properties in convolution Sobolev algebras on the real line. The harmonic analysis side includes a generalization of the famous Beurling theorem; groups with few finite-dimensional unitary representations; relations between ideals of the Figa-Talamanca Herz algebra of a locally compact group and ideals of Figa-Talamanca Herz algebra of its closed subgroup; the tame functionals on Banach algebras and in harmonic analysis; and cancellation, factorization, and isometries in algebras on a locally compact group. The book also includes four surveys written by leaders in the area of full sheaf cohomology theory for noncommutative C - algebras; one-parameter semigroups of bounded operators on a Banach space which are weakly continuous in the sense of Arveson.
Master CUNY Math
CUNY(R) Math Mastery: Complete Tutorials & Practice Workbook with 300+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you! Over 200 CUNY(R) math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! CUNY(R) Math Practice Questions and Tutorials for: Numerical SkillsScientific NotationExponents and Radicals Square RootFractions, Decimals and Percent Algebra World problems with ratio and proportion One and two variable equations quadratic using different methods Translate real world problems into quadratic equa-tions and solve Advanced Algebra Trigonometry Logarithms Sequences Simple Geometry Slope of a line Linear equations from a graph Perimeter, circumference and volume Pythagorean theorem Geometric transformations CUNY(R) is a registered trademark of the City University of New York, who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan
"The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan" presents an English translation of the foundational chapters of M. Bourdon's influential algebra textbook. This historical text offers insights into mathematical education and algebraic principles as they were understood in the early 19th century. The work, translated by the eminent mathematician Augustus De Morgan, provides a valuable resource for understanding the development of algebraic thought and pedagogical methods. It remains relevant for historians of mathematics and those interested in the evolution of mathematical teaching techniques.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Method of Integrating the Square Roots of Quadratics
"A Method of Integrating the Square Roots of Quadratics" by Henry T. Eddy delves into a specific area of integral calculus prevalent in the late 19th century. This treatise offers a focused examination of techniques for integrating square roots of quadratic expressions, providing a detailed exploration of mathematical methods relevant to the period. Originally published in 1872, this work provides insights into the mathematical practices and challenges of the time, offering a valuable resource for those interested in the history of mathematics and the evolution of calculus. Eddy's approach gives contemporary readers a glimpse into the analytical tools employed by mathematicians of the era.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Spherical Trigonometry
"Elements of Spherical Trigonometry" by Augustus De Morgan is a comprehensive exploration of spherical trigonometry, designed for students and educators alike. This book provides a detailed examination of the principles and applications of trigonometry on the surface of a sphere, a crucial area of study for fields such as astronomy, navigation, and geodesy. De Morgan's clear and rigorous approach makes this text an invaluable resource for anyone seeking a solid understanding of this essential branch of mathematics.With meticulous explanations and numerous examples, this work serves as both a textbook and a reference guide. Its enduring value lies in its ability to demystify complex concepts, making it accessible to learners at various levels. Whether you are a student delving into the intricacies of spherical geometry or a professional requiring precise calculations on a spherical surface, this book offers the necessary tools and insights.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Lectures on the Theory of Plane Curves; Delivered to Post-graduate Students in the University of Calcutta
"Lectures on the Theory of Plane Curves" presents a detailed exploration of plane curves as delivered to post-graduate students at the University of Calcutta. Authored by Surendramohan Ganguli, these lectures offer a rigorous treatment of the subject matter, suitable for advanced students and researchers in mathematics. Originally presented in 1919, this work preserves the insights and methodologies of early 20th-century mathematical education. The content focuses on algebraic geometry and the properties of curves, providing a valuable resource for understanding the historical development of mathematical concepts. This book serves not only as a study of plane curves but also as a glimpse into the academic environment of the University of Calcutta during that era. It remains relevant for anyone interested in the foundations of geometric theories and mathematical teaching strategies.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Method of Integrating the Square Roots of Quadratics
"A Method of Integrating the Square Roots of Quadratics" by Henry T. Eddy delves into a specific area of integral calculus prevalent in the late 19th century. This treatise offers a focused examination of techniques for integrating square roots of quadratic expressions, providing a detailed exploration of mathematical methods relevant to the period. Originally published in 1872, this work provides insights into the mathematical practices and challenges of the time, offering a valuable resource for those interested in the history of mathematics and the evolution of calculus. Eddy's approach gives contemporary readers a glimpse into the analytical tools employed by mathematicians of the era.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Archiv Der Mathematik Und Physik
Archiv Der Mathematik Und Physik, Volume 23 presents a comprehensive collection of articles and discussions from the Berliner Mathematische Gesellschaft. This volume offers valuable insights into the mathematical and physical sciences as understood and developed during the period it was published. Featuring contributions from leading scholars and researchers of the time, the book covers a wide range of topics, reflecting the state-of-the-art in mathematical theories and physical experiments. Readers interested in the history of science, particularly the evolution of mathematical and physical thought, will find this volume an essential resource. The detailed expositions and rigorous analyses make "Archiv Der Mathematik Und Physik" a significant historical document, preserving the intellectual landscape of its era and showcasing the foundations upon which modern science was built.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Logarithmic And Other Mathematical Tables
This is a classic compilation of "Logarithmic And Other Mathematical Tables" by William Joseph Hussey. Designed as a reference for students, engineers, and professionals, this volume provides a comprehensive collection of logarithmic, trigonometric, and other essential mathematical tables. The tables are meticulously arranged for ease of use, making it an invaluable tool for calculations and problem-solving across various scientific and technical fields.Hussey's work stands as a testament to the precision and rigor of mathematical computation, offering an enduring resource for anyone requiring accurate and reliable tabular data. This edition preserves the original content, ensuring that the legacy of this essential reference continues to serve future generations.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Visualization for Social Data Science
The book provides end-to-end skills in visual data analysis. It demonstrates how data graphics and modern statistics can be used in tandem to process, explore, model and communicate data-driven social science. It is packed with detailed data analysis examples, pushing you to do visual data analysis.
The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan
"The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan" presents an English translation of the foundational chapters of M. Bourdon's influential algebra textbook. This historical text offers insights into mathematical education and algebraic principles as they were understood in the early 19th century. The work, translated by the eminent mathematician Augustus De Morgan, provides a valuable resource for understanding the development of algebraic thought and pedagogical methods. It remains relevant for historians of mathematics and those interested in the evolution of mathematical teaching techniques.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Differential and Integral Calculus, With Applications
"Differential and Integral Calculus, With Applications" offers a comprehensive exploration of calculus as it was understood in the late 19th century. Penned by the esteemed mathematician Sir George Greenhill, this text provides a detailed exposition of both differential and integral calculus, enriched with numerous applications to practical problems. This book is structured to guide the reader through the fundamental principles of calculus, building from basic concepts to more advanced techniques. Readers will appreciate Greenhill's rigorous approach and his commitment to clarity, making this work an invaluable resource for students and scholars alike. This edition preserves the original text's integrity, ensuring that modern readers can access the insights and methods of a bygone era of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Hierarchical Modeling and Analysis for Spatial Data
The 3rd edition of this popular and authoritative text on Bayesian modeling and inference for spatial and spatial-temporal data presents a comprehensive presents a comprehensive and up-to-date treatment of hierarchical and multilevel modeling for spatial and spatio-temporal data within a Bayesian framework.
Visualization for Social Data Science
"This is an important book on an important topic. I particularly like the examples showing different visualizations of the same data and the parallel presentation of graphics and code. And I absolutely love the chapter on visual storytelling. I can't wait to use this book in my classes."- Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University, New York"A book that gives learners the inspiration, knowledge and worked examples to create cutting edge visualisations of their own."- James Cheshire, Professor of Geographic Information and Cartography, University College LondonVisualization for Social Data Science provides end-to-end skills in visual data analysis. The book demonstrates how data graphics and modern statistics can be used in tandem to process, explore, model and communicate data-driven social science. It is packed with detailed data analysis examples, pushing you to do visual data analysis. As well as introducing, and demonstrating with code, a wide range of data visualizations for exploring patterns in data, Visualization for Social Data Science shows how models can be integrated with graphics to emphasise important structure and de-emphasise spurious structure and the role of data graphics in scientific communication -- in building trust and integrity. Many of the book's influences are from data journalism, as well as information visualization and cartography. Each chapter introduces statistical and graphical ideas for analysis, underpinned by real social science datasets. Those ideas are then implemented via principled, step-by-step, workflows in the programming environment R. Key features include: - Extensive real-world data sets and data analysis scenarios in Geography, Public Health, Transportation, Political Science;- Code examples fully-integrated into main text, with code that builds in complexity and sophistication;- Quarto template files for each chapter to support literate programming practices;- Functional programming examples, using tidyverse, for generating empirical statistics (bootstrap resamples, permutation tests) and working programmatically over model outputs;- Unusual but important programming tricks for generating sophisticated data graphics such as network visualizations, dot-density maps, OD maps, glyphmaps, icon arrays, hypothetical outcome plots and graphical line-ups plots. Every data graphic in the book is implemented via ggplot2.- Chapters on uncertainty visualization and data storytelling that are uniquely accompanied with detailed, worked examples.
College Placement Math Workbook
College Placement Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you!Over 200 College math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies!College Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Solve real world problems with ratio and proportion Solve one and two variable equations Identify and solve quadratic equations given values or graphs Solve quadratic using different methods Translate real world problems into quadratic equa-tions and solve Basic Geometry Slope of a line Identify linear equations from a graph Calculate perimeter, circumference and volume Solve problems using the Pythagorean theorem Determine geometric transformations You also receive: Math Multiple Choice Strategy- How to Study for a Math Test- How to make a study plan- How to Take a TestHeard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book.Remember though, it only a few percentage points divide the PASS from the FAIL students!
Essays in Classical Number Theory
Offering a comprehensive introduction to number theory, this is the ideal book both for those who want to learn the subject seriously and independently, or for those already working in number theory who want to deepen their expertise. Readers will be treated to a rich experience, developing the key theoretical ideas while explicitly solving arithmetic problems, with the historical background of analytic and algebraic number theory woven throughout. Topics include methods of solving binomial congruences, a clear account of the quantum factorization of integers, and methods of explicitly representing integers by quadratic forms over integers. In the later parts of the book, the author provides a thorough approach towards composition and genera of quadratic forms, as well as the essentials for detecting bounded gaps between prime numbers that occur infinitely often.
Graphical And Mechanical Computation Part 1 Alignment Charts
Graphical and Mechanical Computation, Part 1: Alignment Charts, by Joseph Lipka, originally published in 1918, delves into the theory and construction of alignment charts, also known as nomograms. This comprehensive guide offers a detailed exploration of how these charts are used for solving equations graphically, making it an invaluable resource for engineers, mathematicians, and scientists. Lipka meticulously explains the underlying mathematical principles and provides numerous examples to illustrate the practical application of alignment charts in various fields. The book covers topics such as the representation of equations, the construction of scales, and the design of charts for specific functions. With its clear explanations and practical focus, this book remains a vital reference for anyone interested in the history and application of graphical computation methods.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Theory of Traces and the Divergence Theorem
This book provides a new approach to traces, which are viewed as linear continuous functionals on some function space. A key role in the analysis is played by integrals related to finitely additive measures, which have not previously been considered in the literature. This leads to Gauss-Green formulas on arbitrary Borel sets for vector fields having divergence measure as well as for Sobolev and BV functions. The integrals used do not require trace functions or normal fields on the boundary and they can deal with inner boundaries. For the treatment of apparently intractable degenerate cases a second boundary integral is used. The calculus developed here also allows integral representations for the precise representative of an integrable function and for the usual boundary trace of Sobolev or BV functions. The theory presented gives a new perspective on traces for beginners as well as experts interested in partial differential equations. The integral calculus might also be a stimulating tool for geometric measure theory.
On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions
This book is a research monograph with specialized mathematical preliminaries. It presents an original range space and conic theory of infinite dimensional polyhedra (closed convex sets) and optimization over polyhedra in separable Hilbert spaces, providing, in infinite dimensions, a continuation of the author's book: A Conical Approach to Linear Programming, Scalar and Vector Optimization Problems, Gordon and Breach Science Publishers, Amsterdam, 1997. It expands and improves author's new approach to the Maximum Priciple for norm oprimal control of PDE, based on theory of convex cones, providing shaper results in various Hilbert space and Banach space settings. It provides a theory for convex hypersurfaces in lts and Hilbert spaces. For these purposes, it introduces new results and concepts, like the generalizations to the non compact case of cone capping and of the Krein Milman Theorem, an extended theory of closure of pointed cones, the notion of beacon points, and a necessary and sufficient condition of support for void interior closed convex set (complementing the Bishop Phelps Theorem), based on a new decomposition of non closed non pointed cones with non closed lineality space.
Banach Contraction Principle
This book offers a comprehensive exploration of the Banach contraction principle and its many facets. A compilation of chapters authored by global experts, it is aimed at researchers and graduate students in mathematics. The content covers the Banach contraction principle, its generalizations, extensions, consequences and applications, focusing on both single-valued and multi-valued mappings across various spaces. While discussing theoretical foundations, this book uniquely emphasizes the practical applications of the Banach contraction principle in real-world problem-solving scenarios. Each chapter addresses specific topics, including fractals, fractional differentials, integral equations, elastic beam problems and mathematical modeling and analysis of electrical circuits. These diverse subjects showcase the principle's versatility in solving complex issues that go beyond theoretical mathematics. By highlighting Banach's contraction principle as a lasting legacy, the book not only honours past mathematical achievements but also anticipates future innovations in industrial and applied mathematics. It underscores the enduring relevance of the principle, ensuring its continued prominence in mathematical discourse and its pivotal role in driving advancements across the field. This comprehensive exploration catalyzes inspiring future developments in mathematical research.
BC Police Math Workbook
BC Police Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!Over 200 BC Police (JIBC) Math practice questions, prepared by a dedicated team of exam experts, with Detailed answer keyMath shortcutsLinks to video tutorials Step-by-step solutionsMath tips and tricks Multiple choice strategies Math Practice Questions and easy-to-follow Tutorials for: Basic Math OperationsExponentsWord ProblemsBasic GeometryBasic AlgebraYou also receive: Math Multiple-Choice StrategyHow to Study for a Math TestHow to Take a TestYou can get a Great Score with the Least Amount of Studying! Study Smarter, Not Harder!You receive the benefit of our dedicated team of exam experts. All the material in the math workbook, including every practice question, are designed increase your score on your exam with the least amount of studying. Heard it all before? Maybe you have read this kind of thing before, and maybe feel you don't need it, and you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students. Even if our test tips increase your score by a few percentage points, isn't that worth it?I will be honest - it will require real effort and dedication, but if you are willing to focus your energy and devote the study time necessary, (don't worry - we help every step of the way) then before you know it you will be opening that letter of acceptance to the school or the job of your dreams.
Solid Geometry
This classic text, "Solid Geometry," by Franz Hocevar, translated and adapted by C. Godfrey and E.A. Price, offers a comprehensive exploration of three-dimensional geometry. Designed for students and educators alike, the book provides a rigorous yet accessible approach to understanding the fundamental principles of solid geometry.Through clear explanations and detailed diagrams, Hocevar's work covers a wide range of topics, including the properties of polyhedra, the calculation of volumes and surface areas, and the relationships between geometric figures in space. This edition, carefully adapted for English-speaking audiences, retains the original's precision while enhancing its clarity and usability, making it an invaluable resource for anyone studying or teaching this essential branch of mathematics. A timeless contribution to mathematical literature, "Solid Geometry" continues to inspire and educate generations of learners.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Geometry
"Elements of Geometry," adapted from Davies Legendre, presents a rigorous and systematic exposition of Euclidean geometry. This classic work, based on the foundational principles established by Adrien-Marie Legendre, offers a comprehensive exploration of geometric axioms, theorems, and constructions. Designed for students and educators alike, this edition retains the clarity and precision of Legendre's original text while providing accessible explanations and illustrative diagrams. The book covers essential topics such as lines, angles, triangles, circles, and planes, culminating in the study of solid geometry. With its emphasis on logical reasoning and deductive proof, "Elements of Geometry" remains an invaluable resource for anyone seeking a solid understanding of fundamental geometric principles. Its enduring relevance makes it a cornerstone of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Cross-Diffusion Systems
The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.
Arithmetic And Algebra In Their Principles And Application
"Arithmetic and Algebra In Their Principles and Application" is a comprehensive guide designed to elucidate the fundamental principles of arithmetic and algebra. Intended for students and educators alike, this book offers a systematic approach to understanding and applying mathematical concepts. Starting with basic arithmetic operations and progressing to more complex algebraic equations, the text provides clear explanations and numerous examples to reinforce learning.This book emphasizes the importance of a strong foundation in mathematics and aims to develop problem-solving skills. Whether used as a textbook or for self-study, "Arithmetic and Algebra" serves as an invaluable resource for mastering essential mathematical techniques.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Quarterly Journal Of Pure And Applied Mathematics
"The Quarterly Journal Of Pure And Applied Mathematics, Volume 4" is a valuable resource for anyone interested in the historical development of mathematical thought and practice. This volume presents a collection of articles covering a wide range of topics in both pure and applied mathematics, offering insights into the mathematical landscape of the time. A significant addition to any mathematics library, this journal provides a glimpse into the evolution of mathematical ideas and their applications across various fields.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Course Of Plane Geometry And Mensuration
"An Elementary Course Of Plane Geometry And Mensuration" by Richard Wormell offers a comprehensive introduction to the fundamental principles of plane geometry and mensuration. Designed as a teaching resource, this book systematically explores geometric theorems and their applications, alongside practical exercises in measurement. Readers will gain a solid understanding of geometric concepts, enhancing their problem-solving skills through clear explanations and numerous examples. This classic text is ideal for students and educators seeking a structured approach to mastering the essentials of plane geometry and mensuration. Its enduring value lies in its accessibility and its focus on building a strong foundation in mathematical reasoning.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Commutative Algebra
Wolmer Vasconcelos was one of the giants in the development of Commutative Algebra in the latter half of the twentieth century and the first decades of the twenty-first century. This work collects in one place essays illustrating the important developments of his work particularly in commutative algebra that permits the reader to see the development of his important ideas and how they influence the development of mathematics today.
The Doctrine Of Chances, Or, The Theory Of Gaming, Made Easy
The Doctrine of Chances, or, The Theory of Gaming, Made Easy, explores the mathematical principles underlying games of chance and gambling. Written by William Rouse, this treatise provides a detailed examination of probability as it applies to various games, offering insights into the odds and strategies involved. The book delves into the calculations necessary for understanding and predicting outcomes in gaming scenarios, making it accessible to both mathematicians and enthusiasts interested in the theory behind games of chance. Rouse's work is a valuable resource for anyone seeking to understand the mathematical foundations of gambling and probability, offering a historical perspective on the development of these concepts. This edition preserves the original text, providing readers with an authentic view of early mathematical approaches to gaming.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Treatise On Algebra, Theoretical And Practical
"An Elementary Treatise On Algebra, Theoretical And Practical" by John Radford Young is a comprehensive guide designed to simplify the study of algebra for students. This book provides a thorough exploration of algebraic principles, combining theoretical knowledge with practical applications. Intended for classroom use, the treatise includes explanations and methods to clarify challenging concepts. Young's approach aims to make algebra accessible, enabling students to build a solid foundation in the subject. This work remains valuable for those seeking a clear and methodical introduction to algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Algebra
"Elements Of Algebra: An Abridgment Of Day's Algebra" is a classic textbook designed to introduce students to the fundamental principles of algebra. Authored by James Bates Thomson, this book offers a structured and comprehensive approach to learning algebraic concepts, making it suitable for both classroom instruction and self-study. The book covers essential topics in algebra, providing clear explanations and numerous examples to aid understanding. Its abridged format makes it a concise yet thorough resource for students seeking to build a strong foundation in algebraic problem-solving. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Essential Statistics
Essential Statistics: Understanding and Using Data provides students with the tools they need to understand what statistics are, how they work, why they are so important, and how they function in the world. With a focus on step-by-step instruction, Essential Statistics begins each section with a sharp focus on simplified main concepts, followed by expansions into how variation impacts each concept. Readers find this easy-to-read textbook welcoming because of its friendly, patient voice and style and its reliance on real-world examples of where statistics fit in everyday life.This book covers the basics of statistics and data, as well as more advanced topics, including: Descriptive statistics, data displays, central location, and deviations Discrete probability distributions Continuous probability distributions Confidence intervals Hypothesis testing Correlation and linear regression Analysis of variance (ANOVA)Nonparametric statisticsWritten by an actual teacher, Essential Statistics recognizes the need for down-to-earth math instruction. It perfectly addresses this by giving students accessible, linear, and relevant context for why statistics are what its title suggests: essential.
