Negative Math

Negative Math PDF

Author: Alberto A. Martínez

Publisher: Princeton University Press

Published: 2006

Total Pages: 288

ISBN-13: 9780691123097

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Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.

Five Golden Rules

Five Golden Rules PDF

Author: John Casti

Publisher:

Published: 1996

Total Pages: 264

ISBN-13:

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In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L. E. J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory.

The Ten Equations That Rule the World

The Ten Equations That Rule the World PDF

Author: David Sumpter

Publisher: Flatiron Books

Published: 2021-08-24

Total Pages: 336

ISBN-13: 1250246970

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Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.

Primary Education Thinking Skills (P.E.T.S.TM) Book 1 - Updated Edition

Primary Education Thinking Skills (P.E.T.S.TM) Book 1 - Updated Edition PDF

Author:

Publisher: Pieces of Learning

Published: 2012

Total Pages: 225

ISBN-13: 1937113035

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"PETSTM (Primary Education Thinking Skills) is a systematized enrichment and diagnostic thinking skills program. Lessons are presented in convergent analysis, divergent synthesis, visual/spatial thinking, and evaluation, suitable for grades K-3. The program aligns to the higher levels of Bloom's Taxonomy. PETSTM 1, the red book, introduces the six thinking specialists of Crystal Pond Woods: Dudley the Detective, the convergent/deductive thinker, Isabel the Inventor, the divergent/inventive thinker, Sybil the Scientist, the convergent/analytical thinker, Yolanda the Yarnspinner, the divergent/creative thinker, Max the Magician, the visual/spatial thinker, Jordan the Judge, the evaluative thinker. Included in the 24 lessons are encounters with the animal characters who are engaged in problem-solving scenarios calling for their types of thinking -- four lessons involving each character (two whole class lessons to help identify talented learners with accompanying reproducible activities, and two small group lessons for identified students and accompanying reproducible activities). PETSTM helps build behavioral portfolios for talented learners that support a differentiated approach to their education, integrates flexibly into any existing primary curriculum, and offers opportunities for learners with different strengths to shine"--Amazon.com.

The Little Book of Mathematical Principles, Theories & Things

The Little Book of Mathematical Principles, Theories & Things PDF

Author: Robert Solomon

Publisher: Fox Chapel Publishing

Published: 2016-01-01

Total Pages: 355

ISBN-13: 1607652226

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This little book makes serious math simple—with more than 120 laws, theorems, paradoxes, and more explained in jargon-free terms. The Little Book of Mathematical Principles provides simple, clear explanations for the principles, equations, paradoxes, laws, and theorems that form the basis of modern mathematics. It is a refreshingly engaging tour of Fibonacci numbers, Euclid's Elements, and Zeno's paradoxes, as well as other fundamental principles such as chaos theory, game theory, and the game of life. Renowned mathematics author Dr. Robert Solomon simplifies the ancient discipline of mathematics and provides fascinating answers to intriguing questions, such as: What is the greatest pyramid?, What is a perfect number?, and Is there a theory for stacking oranges?

Hands-on Math (Second Edition), Gr. K-1, eBook

Hands-on Math (Second Edition), Gr. K-1, eBook PDF

Author: Hank Garcia

Publisher: Creative Teaching Press

Published: 2006-03-06

Total Pages: 145

ISBN-13: 1591988195

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There are over 200 engaging activities to reinforce important math skills. The activities are divided into five main sections based on NCTM national math standards: Number & Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability. You'll also find bulletin board ideas and ideas for learning centers.

Workshop Math

Workshop Math PDF

Author: Robert Scharff

Publisher: Sterling Publishing Company, Inc.

Published: 1989

Total Pages: 468

ISBN-13: 9780806958026

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Workshop math problems guidebook filled with practical applications for construction, workshop, and the home.

How Not to Be Wrong

How Not to Be Wrong PDF

Author: Jordan Ellenberg

Publisher: Penguin

Published: 2015-05-26

Total Pages: 482

ISBN-13: 0143127535

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“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.