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Fifty Challenging Problems in Probability with Solutions (Dover Books on Mathematics)
by Frederick MostellerCan you solve the problem of "The Unfair Subway"? Marvin gets off work at random times between 3 and 5 p.m. His mother lives uptown, his girlfriend downtown. He takes the first subway that comes in either direction and eats dinner with the one he is delivered to. His mother complains that he never comes to see her, but he says she has a 50-50 chance. He has had dinner with her twice in the last 20 working days. Explain. Marvin's adventures in probability are one of the fifty intriguing puzzles that illustrate both elementary ad advanced aspects of probability, each problem designed to challenge the mathematically inclined. From "The Flippant Juror" and "The Prisoner's Dilemma" to "The Cliffhanger" and "The Clumsy Chemist," they provide an ideal supplement for all who enjoy the stimulating fun of mathematics. Professor Frederick Mosteller, who teaches statistics at Harvard University, has chosen the problems for originality, general interest, or because they demonstrate valuable techniques. In addition, the problems are graded as to difficulty and many have considerable stature. Indeed, one has "enlivened the research lives of many excellent mathematicians." Detailed solutions are included. There is every probability you'll need at least a few of them.
Fifty Years of Fuzzy Logic and its Applications
by Dan E. Tamir Naphtali D. Rishe Abraham KandelThis book presents a comprehensive report on the evolution of Fuzzy Logic since its formulation in Lotfi Zadeh's seminal paper on "fuzzy sets," published in 1965. In addition, it features a stimulating sampling from the broad field of research and development inspired by Zadeh's paper. The chapters, written by pioneers and prominent scholars in the field, show how fuzzy sets have been successfully applied to artificial intelligence, control theory, inference, and reasoning. The book also reports on theoretical issues; features recent applications of Fuzzy Logic in the fields of neural networks, clustering, data mining and software testing; and highlights an important paradigm shift caused by Fuzzy Logic in the area of uncertainty management. Conceived by the editors as an academic celebration of the fifty years' anniversary of the 1965 paper, this work is a must-have for students and researchers willing to get an inspiring picture of the potentialities, limitations, achievements and accomplishments of Fuzzy Logic-based systems.
Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM (Association for Women in Mathematics Series #28)
by Cathy Kessel Janet L. Beery Sarah J. GreenwaldThe Assocation for Women in Mathematics (AWM), the oldest organization in the world for women in mathematics, had its fiftieth anniversary in 2021. This collection of refereed articles, illustrated by color photographs, reflects on women in mathematics and the organization as a whole. Some articles focus on the situation for women in mathematics at various times and places, including other countries. Others describe how individuals have shaped AWM, and, in turn, how the organization has impacted individuals as well as the broader mathematical community. Some are personal stories about careers in mathematics. Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM covers a span from AWM’s beginnings through the following fifty years. The volume celebrates AWM and its successes but does not shy away from its challenges.The book is designed for a general audience. It provides interesting and informative reading for people interested in mathematics, gender equity, or organizational structures; teachers of mathematics; students at the high school, college, and graduate levels; and members of more recently established organizations for women in mathematics and related fields or prospective founders of such organizations.
Fighting the Silent Killer: How Men and Women Can Prevent and Cope with Heart Disease Today
by Dr Peter Cohn Dr Joan CohnAmericais number-one killer, heart disease, can exist in the absence of symptoms. Calledlent heart disease,�ts first manifestations can be catastrophic. This no-nonsense guide now addresses this and other new issues in a clear, non-technical way and examines old concerns from a fresh perspective. The text moves easily from the role of smoking, st
Figure It Out, Henri Weldon
by Tanita S. DavisTanita S. Davis, author of Partly Cloudy and Serena Says, has written another funny, warm story featuring middle school and family life—all about the complex calculations it takes for everyone to balance the equations of their lives and what it takes to be part of a team while handling a learning disability. This middle grade novel is perfect for fans of From the Desk of Zoe Washington and A Good Kind of Trouble.Seventh grader Henrietta Weldon gets to switch schools—finally! She’ll be “mainstreaming” into public school, leaving her special education school behind. She can’t wait for her new schedule, new friends, and new classes.Henri’s dyscalculia, a learning disability that makes math challenging to process and understand, is what she expects to give her problems. What she doesn’t expect is a family feud with her sister over her new friends, joining the girls’ soccer team, and discovering poetry. Henri’s tutor and new friend, Vinnie, reminds her to take it slow. One problem at a time.If Henri Weldon has twenty-four hours in a day, and she has two siblings who dislike her four new friends, two hours of soccer practice, seven hours of classes, and three hours of homework . . . she has:A. No free timeB. No idea how to make everyone happyC. No time to figure it out, Henri Weldon!
Figures for Fun: Stories, Puzzles and Conundrums
by Yakov Perelman"Does your brain need a workout? Are you wondering what to do? Well this could be the book for you! This is a great book for anyone who is looking for a challenge and, if you get too stuck, the author kindly also provided the answers at the end of each chapter!" -- Splashes Into BooksGive your mind a playful workout with this collection of more than 100 inventive puzzles. Finding the solutions requires only minimal mathematical knowledge and will test your imagination as well as your brainpower. The motley collection ranges from conundrums and mathematical stunts to practical situations involving counting and measuring. Chess problems, magic squares, and a host of other intriguing scenarios will amuse and challenge puzzle enthusiasts and fans of recreational mathematics. Answers appear at the end of each chapter.These puzzles are the inventions of a gifted Soviet mathematician, Yakov Perelman, whose popular science books on astronomy, physics, and mathematics inspired generations of readers. Perelman's distinctive style, abounding in wit and ingenuity, adds a special flair to his timeless riddles and brainteasers.
Figures of the Future: Latino Civil Rights and the Politics of Demographic Change
by Michael Rodríguez-MuñizAn in-depth look at how U.S. Latino advocacy groups are using ethnoracial demographic projections to bring about political change in the presentFor years, newspaper headlines, partisan speeches, academic research, and even comedy routines have communicated that the United States is undergoing a profound demographic transformation—one that will purportedly change the “face” of the country in a matter of decades. But the so-called browning of America, sociologist Michael Rodríguez-Muñiz contends, has less to do with the complexion of growing populations than with past and present struggles shaping how demographic trends are popularly imagined and experienced. Offering an original and timely window into these struggles, Figures of the Future explores the population politics of national Latino civil rights groups.Based on eight years of ethnographic and qualitative research, spanning both the Obama and Trump administrations, this book investigates how several of the most prominent of these organizations—including UnidosUS (formerly NCLR), the League of United Latin American Citizens, and Voto Latino—have mobilized demographic data about the Latino population in dogged pursuit of political recognition and influence. In census promotions, get-out-the-vote campaigns, and policy advocacy, this knowledge has been infused with meaning, variously serving as future-oriented sources of inspiration, emblems for identification, and weapons for contestation. At the same time, Rodríguez-Muñiz considers why these political actors have struggled to translate this demographic growth into tangible political gain and how concerns about white backlash have affected how they forecast demographic futures.Figures of the Future looks closely at the politics surrounding ethnoracial demographic changes and their rising influence in U.S. public debate and discourse.
Figurierte Zahlen: Veranschaulichung als heuristische Strategie
by Jochen ZiegenbalgDieses Buch behandelt die Visualisierung als Methode des mathematischen Problemlösens, Begründens und Beweisens: Konkrete Beispiele zur Veranschaulichung durch mathematische Figuren und Bilder bieten einen faszinierenden Einblick in das Argumentieren anhand strukturierter und strukturierender Figuren zur Betrachtung von Zahlen und Zahlenfolgen. Die historischen Wurzeln dieses mathematischen Handwerkszeugs werden dabei so weit wie möglich einbezogen. Die Beispiele sind in der Regel konstruktiver Natur; gelegentlich wird, wo angebracht, die algorithmische Erschließung durch Hinweise auf die Programmierung mit Hilfe von Computeralgebra Systemen ergänzt. Das Buch richtet sich an Studierende und Lehrende an Schulen und Hochschulen, sowie an alle an der Elementarmathematik interessierten Nichtspezialisten, die das mathematische Arbeiten einmal außerhalb der von den Bildungsinstitutionen vorgezeichneten Pfade kennenlernen wollen. Es liefert insbesondere Lehrkräften und Lehramtsstudierenden wertvolle Anregungen, etwa zur Förderung mathematisch interessierter Schülerinnen und Schüler. In der 2. Auflage ist mit den mathematisch fundamentalen und historisch bedeutsamen Themen Wechselwegnahme, Teilbarkeit, Euklidischer Algorithmus, Inkommensurabilität und Kettenbrüche ein neues, für Visualisierungen gut geeignetes Kapitel hinzugekommen. Bereits bestehende Kapitel wurde durch Abschnitte über Trapezzahlen, ungerade Quadratzahlen und zentrierte Polygonalzahlen ergänzt.
Figuring It Out
by Nuno CratoThis is a book of mathematical stories -- funny and puzzling mathematical stories. They tell of villains who try to steal secrets, heroes who encode their messages, and mathematicians who spend years on end searching for the best way to pile oranges. There are also stories about highway confusions occurring when the rules of Cartesian geometry are ignored, small-change errors due to ignorance of ancient paradoxes, and mistakes in calendars arising from poor numerical approximations. This book is about the power and beauty of mathematics. It shows mathematics in action, explained in a way that everybody can understand. It is a book for enticing youngsters and inspiring teachers. Nuno Crato is a leading science writer and mathematician, whose entertaining essays have won a number of international awards.
Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals: A Classroom Companion (Corwin Mathematics Series)
by John J. SanGiovanni Jennifer M. Bay-Williams Sherri L. Martinie Jennifer SuhBecause fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Fractions and Decimals. With this book, teachers can: Dive deeper into the Significant Strategies for fluency explained in the anchor book Learn how these strategies grow from and relate to the basic fact strategies children learn Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting fractions and decimals, including worked examples, routines, games, and centers Find activities for assessing all components of addition and subtraction fluency for fractions and decimals, plus support for engaging families Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.
Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals: A Classroom Companion (Corwin Mathematics Series)
by John J. SanGiovanni Jennifer M. Bay-Williams Sherri L. Martinie Jennifer SuhBecause fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Fractions and Decimals. With this book, teachers can: Dive deeper into the Significant Strategies for fluency explained in the anchor book Learn how these strategies grow from and relate to the basic fact strategies children learn Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting fractions and decimals, including worked examples, routines, games, and centers Find activities for assessing all components of addition and subtraction fluency for fractions and decimals, plus support for engaging families Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.
Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8: Moving Beyond Basic Facts and Memorization (Corwin Mathematics Series)
by Jennifer M. Bay-Williams John J. SanGiovanniBecause fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.
Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8: Moving Beyond Basic Facts and Memorization (Corwin Mathematics Series)
by Jennifer M. Bay-Williams John J. SanGiovanniBecause fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.
FileMaker Pro 13: The Missing Manual
by Susan Prosser Stuart GripmanYou don’t need a technical background to build powerful databases with FileMaker Pro 13. This crystal-clear guide covers all new FileMaker Pro 13 features, such as its improved layout tools and enhanced mobile support. Whether you’re running a business, printing a catalog, or planning a wedding, you’ll learn how to customize your database to run on a PC, Mac, Web browser, or iOS device.The important stuff you need to know:Get started. Tour FileMaker Pro’s features and create your first database in minutes.Access data anywhere. Use FileMaker Go on your iPad or iPhone—or share data on the Web.Dive into relational data. Solve problems quickly by connecting and combining data tables.Create professional documents. Publish reports, invoices, catalogs, and other documents with ease.Harness processing power. Use calculations and scripts to crunch numbers, search text, and automate tasks.Add visual power and clarity. Create colorful charts to illustrate and summarize your data.Share your database on a secure server. Add the high-level features of FileMaker Pro Advanced and FileMaker Pro Server.
Filling and Wrapping, Three-Dimensional Measurement
by Glenda Lappan James T. Fey William M. Fitzgerald Susan N. Friel Elizabeth Difanis PhillipsNIMAC-sourced textbook
Filling and Wrapping: Three-Dimensional Measurement
by Glenda Lappan James T. Fey Susan N. Friel Elizabeth Difanis PhillipsNIMAC-sourced textbook
Filling and Wrapping: Three-Dimensional Measurement
by Phillips Fey Friel LappanGlenda Lap pan is a University Distinguished Professor in the Program in Mathematics Education (PRIME) and the Department of Mathematics at Michigan State University. Her research and development interests are in the connected areas of students' learning of mathematics and mathematics teachers' professional growth and change related to the development and enactment of K-12 curriculum materials. Elizabeth Difanis Phillips is a Senior Academic Specialist in the Program in Mathematics Education (PRIME) and the Department of Mathematics at Michigan State University. She is interested in teaching and learning mathematics for both teachers and students. These interests have led to curriculum and professional development projects at the middle school and high school levels, as well as projects related to the teaching and learning of algebra across the grades.
Filling and Wrapping: Three-Dimensional Measurements (Texas)
by Inc. Glenda Lappan James T. Fey William M. Fitzgerald Susan N. Friel Elizabeth Difanis Phillips WestWordsNIMAC-sourced textbook
Filtering and Control of Stochastic Jump Hybrid Systems
by Ligang Wu Xiuming Yao Wei Xing ZhengThis book presents recent research work on stochastic jump hybrid systems. Specifically, the considered stochastic jump hybrid systems include Markovian jump Ito stochastic systems, Markovian jump linear-parameter-varying (LPV) systems, Markovian jump singular systems, Markovian jump two-dimensional (2-D) systems, and Markovian jump repeated scalar nonlinear systems. Some sufficient conditions are first established respectively for the stability and performances of those kinds of stochastic jump hybrid systems in terms of solution of linear matrix inequalities (LMIs). Based on the derived analysis conditions, the filtering and control problems are addressed. The book presents up-to-date research developments and novel methodologies on stochastic jump hybrid systems. The contents can be divided into two parts: the first part is focused on robust filter design problem, while the second part is put the emphasis on robust control problem. These methodologies provide a framework for stability and performance analysis, robust controller design, and robust filter design for the considered systems. Solutions to the design problems are presented in terms of LMIs. The book is a timely reflection of the developing area of filtering and control theories for Markovian jump hybrid systems with various kinds of imperfect information. It is a collection of a series of latest research results and therefore serves as a useful textbook for senior and/or graduate students who are interested in knowing 1) the state-of-the-art of linear filtering and control areas, and 2) recent advances in stochastic jump hybrid systems. The readers will also benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.
Finance with Monte Carlo
by Ronald W. ShonkwilerThis text introduces upper division undergraduate/beginning graduate students in mathematics, finance, or economics, to the core topics of a beginning course in finance/financial engineering. Particular emphasis is placed on exploiting the power of the Monte Carlo method to illustrate and explore financial principles. Monte Carlo is the uniquely appropriate tool for modeling the random factors that drive financial markets and simulating their implications. The Monte Carlo method is introduced early and it is used in conjunction with the geometric Brownian motion model (GBM) to illustrate and analyze the topics covered in the remainder of the text. Placing focus on Monte Carlo methods allows for students to travel a short road from theory to practical applications. Coverage includes investment science, mean-variance portfolio theory, option pricing principles, exotic options, option trading strategies, jump diffusion and exponential Lévy alternative models, and the Kelly criterion for maximizing investment growth. Novel features: inclusion of both portfolio theory and contingent claim analysis in a single text pricing methodology for exotic options expectation analysis of option trading strategies pricing models that transcend the Black-Scholes framework optimizing investment allocations concepts thoroughly explored through numerous simulation exercises numerous worked examples and illustrations The mathematical background required is a year and one-half course in calculus, matrix algebra covering solutions of linear systems, and a knowledge of probability including expectation, densities and the normal distribution. A refresher for these topics is presented in the Appendices. The programming background needed is how to code branching, loops and subroutines in some mathematical or general purpose language. The mathematical background required is a year and one-half course in calculus, matrix algebra covering solutions of linear systems, and a knowledge of probability including expectation, densities and the normal distribution. A refresher for these topics is presented in the Appendices. The programming background needed is how to code branching, loops and subroutines in some mathematical or general purpose language. Also by the author: (with F. Mendivil) Explorations in Monte Carlo, ©2009, ISBN: 978-0-387-87836-2; (with J. Herod) Mathematical Biology: An Introduction with Maple and Matlab, Second edition, ©2009, ISBN: 978-0-387-70983-3.
Financial Algebra
by Robert Gerver Richard SgroiBy combining algebraic and graphical approaches with practical business and personal finance applications, South-Western's FINANCIAL ALGEBRA, motivates high school students to explore algebraic thinking patterns and functions in a financial context. FINANCIAL ALGEBRA will help your students achieve success by offering an applications based learning approach incorporating Algebra I, Algebra II, and Geometry topics. Authors Gerver and Sgroi have spent more than 25 years working with students of all ability levels and they have found the most success when connecting math to the real world. FINANCIAL ALGEBRA encourages students to be actively involved in applying mathematical ideas to their everyday lives.
Financial Algebra: Advanced Algebra With Financial Applications
by Robert Gerver Richard SgroiBy combining algebraic and graphical approaches with practical business and personal finance applications, South-Western's FINANCIAL ALGEBRA, motivates high school students to explore algebraic thinking patterns and functions in a financial context.
Financial Algebra: Advanced Algebra With Financial Applications (Financial Algebra Ser.)
by Robert Gerver Richard SgroiNIMAC-sourced textbook
Financial Algebra: Student Workbook
by Robert K. Gerver Richard J. SgroiThe Student Workbook offers additional resources for mastering algebraic concepts within a financial context.
Financial Calculus
by Martin Baxter Andrew RennieFinance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.