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Null Set
by Ted MathysNull Set collects the slightly obsessive possibilities that rise when we give them the space--odd jobs, trouble-making, and farm boy rambling, all in dialogue with mathematics, or William Faulkner, or other poets.From "Hypotenuse":HYPOTENUSEI write three, erase it, blow rubbershavings from the desk. Write its notation,erase it, blow shavings. Then three 3serased, shavings blown, persistfor the nonce, three of nothing, nowhereattending to discrete objects for counting,themselves objects at any rate. To kiss,sleep, and focus we know to closeour eyes, imagine. I do, see nothing.
Numb and Number: How to Avoid Being Mystified by the Mathematics of Modern Life
by William HartstonLike it or not, our lives are dominated by mathematics. Our daily diet of news regales us with statistical forecasts, opinion polls, risk assessments, inflation figures, weather and climate predictions and all sorts of political decisions and advice backed up by supposedly accurate numbers. Most of us do not even pause and question such figures even to ask what they really mean and whether they raise more questions than they answer. We let the figures wash over us with no more than a glance. In this simple guide for anyone numbed by numbers, William Hartston explains with clarity and humor how to steer a safe path through the minefield of mathematics that surrounds us.
Numbed!
by David LubarWhen Logan’s class takes a trip to a math museum, his mischievous friend Benedict is sure it will be a boring day—until he discovers a robot and its creator in an off-limits area. The robot proves feisty, and soon both boys get zapped. They realize only later that they’d left the museum without their math skills. To get back the knowledge they need for school—not to mention buying food at the mall, divvying up dinner at home, and much more—they’ll have to get back to the museum and pass a series of math challenges. Being “numbed” teaches Logan and Benedict just how useful, and even fun, math can be.
Number: The Language of Science
by Tobias DantzigNumber is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Renowned professor of mathematics Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.
Number: Activities for Children with Mathematical Learning Difficulties
by Mel LeverFirst Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Number Activities For Early Learners: Ideas for Parents and Pre-School Teachers
by Jan ConaglenThis e-book outlines interesting and age appropriate activities that can be carried out by parents and preschool teachers. It uses concrete materials so young children can visualize concepts, predict outcomes and display confidence, whilst learning from the suggested tasks.It will provide parents and preschool teachers with an insight into the importance of early basic mathematical knowledge.It will help develop the understanding and application of more complex skills that the student requires for later learning.The activities suggested are suitable for 3 years - 6 years old. This is usually preschool children up to second year at school.
Number Corner: Student Book
by Math Learning CenterThe Number Corner 2nd Edition Grade 3 Student Book provides students with opportunities to solve problems, conduct investigations, and practice skills in the context of familiar Number Corner Grade 3 lessons.
Number Corner, Grade 2, Student Book, Spanish Edition
by The Math Learning CenterNIMAC-sourced textbook
Number Corner Second Edition Grade 5 Student Book
by The Math Learning CenterA mathematics textbook
Number-Crunching: Taming Unruly Computational Problems from Mathematical Physics to Science Fiction
by Paul J. NahinMore stimulating mathematics puzzles from bestselling author Paul NahinHow do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished.Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions.Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.
Number Fields (Universitext)
by Daniel A. MarcusRequiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.
A Number for your Thoughts: Facts and Speculations About Numbers from Euclid to the Latest Computers
by M. E. LinesWhy do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another? These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite.
Number Freak
by Derrick NiedermanNumber fanatic Derrick Niederman has a mission - to bring numbers to life. In Number Freak he explores the unique properties of the most fascinating numbers from 1 to 200, wherever they may crop up: from mathematics to sport, from history to the natural world, from language to pop culture. Packed with illustrations, amusing facts, puzzles, brainteasers and anecdotes, Number Freak is an enthralling and thought-provoking numerical voyage through the history of mathematics, investigating problems of logic, geometry and arithmetic along the way. Entertaining and accessible, it is a must for trivia addicts, maths-lovers and arithmophiles.
Number One Puppy
by Zachary WilsonA story about a little girl going to a dog pound to choose a pet.
Number Properties GRE Math Strategy Guide 2nd Edition
by Manhattan Gre StaffUpdated for the revised GRE, the Number Properties Guide provides a comprehensive analysis of the properties and rules of integers tested on the GRE to help you learn, practice, and master everything from prime products to perfect squares. Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the GRE tests a given topic and how you can respond accurately and quickly. The Guide contains both "Check Your Skills" questions in the chapters that test your understanding as you go and "In-Action" problems of increasing difficulty, all with detailed answer explanations.
Number Savvy: From the Invention of Numbers to the Future of Data
by George SciadasThis book is written for the love of numbers. It tells their story, shows how they were invented and used to quantify our world, and explains what quantitative data mean for our lives. It aspires to contribute to overall numeracy through a tour de force presentation of the production, use, and evolution of data. Understanding our physical world, our economies, and our societies through quantification has been a persistent feature of human evolution. This book starts with a narrative on why and how our ancestors were driven to the invention of number, which is then traced to the eventual arrival at our number system. This is followed by a discussion of how numbers were used for counting, how they enabled the measurement of physical quantities, and how they led to the estimation of man-made and abstract notions in the socio-economic domain. As data don’t fall like manna from the sky, a unique feature of this book is that it explains from a teacher’s perspective how they’re really conceived in our minds, how they’re actually produced from individual observations, and how this defines their meaning and interpretation. It discusses the significance of standards, the use of taxonomies, and clarifies a series of misconceptions regarding the making of data. The book then describes the switch to a new research paradigm and its implications, highlights the arrival of microdata, illustrates analytical uses of data, and closes with a look at the future of data and our own role in it.
Number Sense: Percent Applications
by Allan SuterContemporary's popular Number Sense mathematics series has been updated! Number Sense encourages students to explore number relationships to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications. Each text uses a highly visual and active approach to introduce basic mathematics concepts. Each lesson is carefully designed to simultaneously build students' mastery and self-confidence. Each text illustrates a basic math skill with a step-by-step approach, and follows with lots of practice.
Number Sense and Nonsense: Building Math Creativity and Confidence Through Number Play
by Claudia ZaslavskyThese 80-plus math activities and number games help kids to think critically about math instead of just memorizing rules. The emphasis is on the underlying relationships between numbers and the process of manipulating them. Kids get together and play games with odd and even numbers, prime and composite numbers, factors, divisors, and multiples of numbers, common and decimal fractions. Children learn the history of numbers--finger counting, number symbols in various cultures, and different ways of calculating. The book is full of riddles, puzzles, number tricks, and calculator games. Kids develop skills in estimation and computation as they become familiar with the characteristics and behavior of numbers. They will gain math confidence and be ready to take chances, find their own errors, and challenge their peers.
Number Sense Routines: Building Mathematical Understanding Every Day in Grades 3-5
by Jessica ShumwayFollowing up her' best-selling book, Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, Jessica Shumway turns her focus to upper elementary classrooms. Number Sense Routines: Developing Mathematical Understanding Every Day in Grades 3-5 is about tapping into every child' s innate number sense and providing daily, connected experiences that are responsive to children's learning needs. Consistent, Daily Routines Work:' Adaptable to any curriculum, Shumway' s 5, 10, or 15 minute warm-up routines are an easy and effective way to build and solidify students' number sense foundations as a supplement to any program Planning and Facilitating Your Classroom:' No matter how familiar the routine, Shumway provides insight on how to keep daily warm-ups fresh. She reveals careful thinking and planning that goes into each routine and offers detailed vignettes and dialogues of how they unfold in real classrooms Assessment Strategies:' As students engage in the process, each routine becomes an exciting opportunity to gain insight into where they are in their understanding and help students articulate their mathematical thinking Identify Big Ideas: Not only will these math routines help develop students' mathematical understanding as they move towards using standard algorithms, but teachers will learn to better recognize the big ideas that emerge in discussions, how to encourage important strategies based in number sense, and how to facilitate conversations on key mathematical concepts. ' 'These routines may appear in other places, [but] I have never seen them written in such detail and with so many variations.. . .. Although she makes what she does sound easy, we all know that teaching math well is anything but easy. It is challenging and complex. Unpacking what students are saying, helping them make connections not only to the math but to each other's ideas, while simultaneously recording their ideas using mathematical models, visuals, or equations is no easy task. Jessica provides wonderful visuals, examples of student work, and so much more to help educators develop the tools they need to improve their practice and in so doing improve student learning. ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' – From the Foreword by math coach and consultant Lucy West
Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory
by Diane L. Herrmann Paul J. Sally Jr.Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors' successful work with undergraduate students at the University of Chicago, seventh
The Number System
by H. A. ThurstonThe teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development.This volume's great merit lies in its wealth of explanatory material, designed to promote an informal and intuitive understanding of the rigorous logical approach to the number system. The first part explains and comments on axioms and definitions, making their subsequent treatment more coherent. The second part presents a detailed, systematic construction of the number systems of rational, real, and complex numbers. It covers whole numbers, hemigroups and groups, integers, ordered fields, the order relation for rationals, exponentiation, and real and complex numbers. Every step is justified by a reference to the appropriate theorem or lemma. Exercises following each chapter in Part II help readers test their progress and provide practice in using the relevant concepts.
Number Systems: A Path into Rigorous Mathematics
by Anthony KayNumber Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs. The book continually seeks to build upon students' intuitive ideas of how numbers and arithmetic work, and to guide them towards the means to embed this natural understanding into a more structured framework of understanding. The author’s motivation for writing this book is that most previous texts, which have complete coverage of the subject, have not provided the level of explanation needed for first-year students. On the other hand, those that do give good explanations tend to focus broadly on Foundations or Analysis and provide incomplete coverage of Number Systems. Features Approachable for students who have not yet studied mathematics beyond school Does not merely present definitions, theorems and proofs, but also motivates them in terms of intuitive knowledge and discusses methods of proof Draws attention to connections with other areas of mathematics Plenty of exercises for students, both straightforward problems and more in-depth investigations Introduces many concepts that are required in more advanced topics in mathematics.
Number Systems for Deep Neural Network Architectures (Synthesis Lectures on Engineering, Science, and Technology)
by Ghada Alsuhli Vasilis Sakellariou Hani Saleh Mahmoud Al-Qutayri Baker Mohammad Thanos StouraitisThis book provides readers a comprehensive introduction to alternative number systems for more efficient representations of Deep Neural Network (DNN) data. Various number systems (conventional/unconventional) exploited for DNNs are discussed, including Floating Point (FP), Fixed Point (FXP), Logarithmic Number System (LNS), Residue Number System (RNS), Block Floating Point Number System (BFP), Dynamic Fixed-Point Number System (DFXP) and Posit Number System (PNS). The authors explore the impact of these number systems on the performance and hardware design of DNNs, highlighting the challenges associated with each number system and various solutions that are proposed for addressing them.
Number Talks: A Multimedia Professional Learning Resource
by Sherry Parrish Ann DominickNumber Talks 1. A five- to fifteen-minute classroom conversation around purposefully crafted problems that are solved mentally. 2. The best part of a teacher’s day. <p><p>This dynamic multimedia resource was created in response to the requests of teachers—those who want to implement number talks but are unsure of how to begin and those with experience who want more guidance in crafting purposeful problems. It supports teachers in understanding: <p><p>• what a classroom number talk is; <p><p>• how to follow students’ thinking and pose the right questions to build understanding; <p><p>• how to prepare for and design purposeful number talks; and <p><p>• how to develop fractional reasoning and strategies for operating with fractions, decimals, and percentages.