- Diversifying STEM by Ebony O. McGeeISBN: 9781978805682Publication Date: 20192020 Choice Outstanding Academic Title Research frequently neglects the important ways that race and gender intersect within the complex structural dynamics of STEM. Diversifying STEM fills this void, bringing together a wide array of perspectives and the voices of a number of multidisciplinary scholars. The essays cover three main areas: the widely-held ideology that science and mathematics are "value-free," which promotes pedagogies of colorblindness in the classroom as well as an avoidance of discussions around using mathematics and science to promote social justice; how male and female students of color experience the intersection of racist and sexist structures that lead to general underrepresentation and marginalization; and recognizing that although there are no quick fixes, there exists evidence-based research suggesting concrete ways of doing a better job of including individuals of color in STEM. As a whole this volume will allow practitioners, teachers, students, faculty, and professionals to reimagine STEM across a variety of educational paradigms, perspectives, and disciplines, which is critical in finding solutions that broaden the participation of historically underrepresented groups within the STEM disciplines.
- Foundations of Constructive Probability Theory by Yuen-Kwok ChanISBN: 9781108835435Publication Date: 2021Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original. It also contains results and methods hitherto unknown in the constructive and nonconstructive settings. The text features logic only in the common sense and, beyond a certain mathematical maturity, requires no prior training in either constructive mathematics or probability theory. It will thus be accessible and of interest, both to probabilists interested in the foundations of their speciality and to constructive mathematicians who wish to see Bishop's theory applied to a particular field.
- The Math Behind... by Colin BeveridgeISBN: 9781770859982Publication Date: 2017An entertaining illustrated reference to the role of mathematics in everyday life. The Math Behind... is a fascinating compilation of everyday events analyzed for their probability of occurring and how those odds are determined using mathematical equations and science. The book examines everything from how predictive text works to why buses come in threes and the likelihood that toast will land butter side down. Accessible and clear explanations, without dumbing down the science, and photographs and diagrams illustrate concepts and aid understanding. There are six chapters. Here are some of the questions covered: The human condition: Why hipsters look the same What are the chances of you even being born What makes certain songs so catchy Why we find some people more attractive than others Sports and games: The perfect 9-ball break in pool How to play the lottery How to take a free kick The secret behind Michael Jordan's air time Why the house always wins From A to B: The "causeless" traffic jam Just how likely is a plane to crash How long would it take a chicken to cross a road Is it possible to have a car journey with no red lights Rise of the machines: How bitcoins work How easy is it for a hacker to crack your password How does predictive text work How do scam emailers use probability Chance and coincidence: Does repeatedly clicking a mouse make it work any faster The chances of meeting your soulmate The six degrees of Kevin Bacon How illusionists use mathematics And another thing: At what percentage does juice become flavored water How penguins have developed the perfect huddle The amount of G-force on a rollercoaster. The Math Behind... is an entertaining, intelligent and different look at the world around us. Readers interested in probability and mathematics (and readers interested in just about anything else) will enjoy learning why their toast landed butter side down and whether they should spend another $5.00 on a lottery ticket.
- Mathematical Applications for the Management, Life, and Social Sciences by Ronald J. Harshbarger; James J. ReynoldsISBN: 9781337625340Publication Date: 2018MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 12th Edition, helps students succeed in finite mathematics and applied calculus courses by tying the concepts to real-life applications using real, meaningful data. Designed for students majoring in business, economics, life sciences and social sciences, the book offers a brief review of algebra to prepare students with different backgrounds for the material in later chapters. Chapter Warm-ups review the prerequisite topics for each chapter, and Checkpoints ask questions and pose problems within each section's discussion--allowing you to check your understanding of skills and concepts before moving to the next chapter. Use of technology is integrated into the text, and optional modeling problems are discussed. Student resources include a Student Solutions Manual and online homework with WebAssign.
- A Most Elegant Equation by David StippISBN: 9780465093779Publication Date: 2017An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

- Chance, Calculation and Life by Thierry Gaudin (Editor); Marie-Christine Maurel (Editor); Jean-Charles Pomerol (Editor)ISBN: 9781119823971Publication Date: 2021Chance, Calculation and Life brings together 16 original papers from the colloquium of the same name, organized by the International Cultural Center of Cerisy in 2019. From mathematics to the humanities and biology, there are many concepts and questions related to chance. What are the different types of chance? Does chance correspond to a lack of knowledge about the causes of events, or is there a truly intrinsic and irreducible chance? Does chance preside over our decisions? Does it govern evolution? Is it at the origin of life? What part do chance and necessity play in biology? This book answers these fundamental questions by bringing together the clear and richly documented contributions of mathematicians, physicists, biologists and philosophers who make this book an incomparable tool for work and reflection.
- Dynamics of Statistical Experiments by Dmitri KorolioukISBN: 9781119720461Publication Date: 2020This book is devoted to the system analysis of statistical experiments, determined by the averaged sums of sampling random variables. The dynamics of statistical experiments are given by difference stochastic equations with a speci?ed regression function of increments - linear or nonlinear. The statistical experiments are studied by the sample volume increasing (N ??), as well as in discrete-continuous time by the number of stages increasing (k ??) for different conditions imposed on the regression function of increments. The proofs of limit theorems employ modern methods for the operator and martingale characterization of Markov processes, including singular perturbation methods. Furthermore, they justify the representation of a stationary Gaussian statistical experiment with the Markov property, as a stochastic difference equation solution, applying the theorem of normal correlation. The statistical hypotheses verification problem is formulated in the classification of evolutionary processes, which determine the dynamics of the predictable component. The method of stochastic approximation is used for classifying statistical experiments.
- Essentials of Mathematical Methods in Science and Engineering by Selcuk S. BayinISBN: 9781119580287Publication Date: 2019A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book's approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: * Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book * Puts the emphasis on the analytic techniques * Contains two new chapters that explore linear algebra and its applications * Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.
- Fundamentals of Numerical Mathematics for Physicists and Engineers by Alvaro MeseguerISBN: 9781119425755Publication Date: 2020Introduces the fundamentals of numerical mathematics and illustrates its applications to a wide variety of disciplines in physics and engineering Applying numerical mathematics to solve scientific problems, this book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain techniques for solving a given problem. It also contains examples related to problems arising in classical mechanics, thermodynamics, electricity, and quantum physics. Fundamentals of Numerical Mathematics for Physicists and Engineers is presented in two parts. Part I addresses the root finding of univariate transcendental equations, polynomial interpolation, numerical differentiation, and numerical integration. Part II examines slightly more advanced topics such as introductory numerical linear algebra, parameter dependent systems of nonlinear equations, numerical Fourier analysis, and ordinary differential equations (initial value problems and univariate boundary value problems). Chapters cover: Newton's method, Lebesgue constants, conditioning, barycentric interpolatory formula, Clenshaw-Curtis quadrature, GMRES matrix-free Krylov linear solvers, homotopy (numerical continuation), differentiation matrices for boundary value problems, Runge-Kutta and linear multistep formulas for initial value problems. Each section concludes with Matlab hands-on computer practicals and problem and exercise sets. This book: Provides a modern perspective of numerical mathematics by introducing top-notch techniques currently used by numerical analysts Contains two parts, each of which has been designed as a one-semester course Includes computational practicals in Matlab (with solutions) at the end of each section for the instructor to monitor the student's progress through potential exams or short projects Contains problem and exercise sets (also with solutions) at the end of each section Fundamentals of Numerical Mathematics for Physicists and Engineers is an excellent book for advanced undergraduate or graduate students in physics, mathematics, or engineering. It will also benefit students in other scientific fields in which numerical methods may be required such as chemistry or biology.
- Mathematical Methods in Interdisciplinary Sciences by Snehashish Chakraverty (Editor)ISBN: 9781119585657Publication Date: 2020Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

- Mathematical Models in Science by Olav Arnfinn LaudalISBN: 9781800610279Publication Date: 2021Mathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modelled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarises the development of physical applications of pure mathematics developed in the twentieth century.
- Mathematics for Social Justice by Gizem Karaali (Editor); Lily S. Khadjavi (Editor)ISBN: 9781470449278Publication Date: 2022Mathematics for Social Justice: Focusing on Quantitative Reasoning and Statistics offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book comprises seventeen classroom-tested modules featuring ready-to-use activities and investigations for college mathematics and statistics courses. The modules empower students to study issues of social justice and to see the power and limitations of mathematics in real-world contexts of deep concern. The primary focus is on classroom activities where students can ask their own questions, find and analyze real data, apply mathematical ideas themselves, and draw their own conclusions. Module topics in the book focus on technical content that could support courses in quantitative reasoning or introductory statistics. Social themes include electoral issues, environmental justice, equity/inequity, human rights, and racial justice, including topics such as gentrification, partisan gerrymandering, policing, and more. The volume editors are leaders of the national movement to include social justice material in mathematics teaching and jointly edited the earlier AMS-MAA volume, Mathematics for Social Justice: Resources for the College Classroom.
- Mathematics in Early Childhood by Oliver Thiel (Editor); Elena Severina (Editor); Bob Perry (Editor)ISBN: 9781000174649Publication Date: 2020Structured around Bishop's six fundamental mathematical activities, this book brings together examples of mathematics education from a range of countries to help readers broaden their view on maths and its interrelationship to other aspects of life. Considering different educational traditions and diverse contexts, and illustrating theory through the use of real-life vignettes throughout, this book encourages readers to review, reflect on, and critique their own practice when conducting activities on explaining, counting, measuring, locating, designing, and playing. Aimed at early childhood educators and practitioners looking to improve the mathematics learning experience for all their students, this practical and accessible guide provides the knowledge and tools to help every child.
- Math for Business and Economics by Franz W. PerenISBN: 9783662632482Publication Date: 2021This textbook contains and explains essential mathematical formulas within an economic context. A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This mathematical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed for meaningful and relevant application in global business, as well as in the academic setting and economic practice. The topics presented include, but are not limited to: mathematical signs and symbols, logic, arithmetic, algebra, linear algebra, combinatorics, financial mathematics, optimisation of linear models, functions, differential calculus, integral calculus, elasticities, economic functions, and the Peren theorem. Given its scope, the book offers an indispensable reference guide and is a must-read for undergraduate and graduate students, as well as managers, scholars, and lecturers in business, politics, and economics.
- The Math Pact, Elementary by Karen S. Karp; Barbara J. Dougherty; Sarah B. BushISBN: 9781544399485Publication Date: 2020A schoolwide solution for mathematics success! When "rules" seem to change from year to year, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. You'll learn to avoid "rules that expire"--tricks that may seem to help students in one grade but hurt in the long run.

- Annika Riz, Math Whiz by Claudia Mills; Rob Shepperson (Illustrator)ISBN: 9780374303358Publication Date: 2014Annika Riz loves math more than anything, so when she hears about a sudoku contest at the local public library, she is determined to win it--maybe then her friends Kelsey Green and Izzy Barr will see that math is just as cool as reading and running. When the school carnival, the biggest fundraiser of the year, comes around, Annika realizes her class booth is losing money by selling their lemonade too cheaply. Annika embraces her math skills, saves the day, and shows her friends that math canbe useful and even a bit of fun, too, in Claudia Mills'sAnnika Riz, Math Whiz.
- How Many? by Christopher DanielsonISBN: 9781580899437Publication Date: 2019Talking math with your child is fun and easy with this better approach to counting! Written by a math educator, this innovative book encourages critical thinking and sparks memorable mathematical conversations. You and your child decide what to count on each page. You have many choices, and the longer you look, the more possibilities you'll notice. There are no wrong answers in this book. As long as you're talking about what you see, think, and wonder, you're talking math!
- How Many Guinea Pigs Can Fit on a Plane? by Laura OverdeckISBN: 9781250072290Publication Date: 2017How many bees does it take to make one jar of honey? How many soccer balls would fit inside a hollow Earth? How many pieces of gum would it take to stick you to a wall--and keep you there? Believe it or not, you can find out the answers to these questions yourself--using math! Combining questions from real readers like you with surprising answers, Laura Overdeck's How Many Guinea Pigs Can Fit on a Plane? proves that numbers can be fun--and that math is power.
- Place Value by David A. Adler; Edward Miller (Illustrator)ISBN: 9780823435500Publication Date: 2016You had better not monkey around when it comes to place value. The monkeys in this book can tell you why! As they bake the biggest banana cupcake ever, they need to get the amounts in the recipe correct. There's a big difference between 216 eggs and 621 eggs. Place value is the key to keeping the numbers straight. Using humorous art, easy-to-follow charts and clear explanations, this book presents the basic facts about place value while inserting some amusing monkey business.
- We Are One: How the World Adds Up by Susan Hood; Linda Yan (Illustrator)ISBN: 9781536201147Publication Date: 2021The whole is greater than the sum of its parts--and unity and connection are most important of all--in a beautifully illustrated counting book with a timely message. One can be one thing all on its own--one star, one stream, one stick, one stone. But those on their toes, those using their smarts, know one can be more than the sum of its parts. Consider the two slices of bread that make up one sandwich, or the three lines of poetry that form one haiku, or even the ten years that form one decade. From one to ten, from sandwiches to centuries, every part is necessary to the whole. In this fascinating concept book, a simple rhyming narration aimed at younger children is complemented by informational panels about subjects like the four compass points, the five acts in Shakespeare, the seven colors of a rainbow, or the nine innings in baseball. Award-winning author Susan Hood and debut children's book illustrator Linda Yan offer a mind-expanding look at early math concepts such as part/whole relationships, fractions, and addition--while underlying themes of cooperation, peace, and kindness make this beautiful volume one to be enjoyed by anyone at any age.

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