Math on Trial

2013-03-12

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Author: Leila Schneps
Publisher: Basic Books
ISBN: 0465037941
Category : Mathematics
Languages : en
Pages : 274

In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

Illustrating Mathematics

2020-10-16

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Author: Diana Davis
Publisher: American Mathematical Soc.
ISBN: 1470461226
Category : Education
Languages : en
Pages : 171

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

What's Happening in the Mathematical Sciences

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Author: Barry Cipra
Publisher: American Mathematical Soc.
ISBN: 9780821890431
Category : Science
Languages : en
Pages : 108

Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

The Math of Life and Death

2021-04-27

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Author: Kit Yates
Publisher: Simon and Schuster
ISBN: 1982111887
Category : MATHEMATICS
Languages : en
Pages : 288

"Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches"--Publisher marketing.

Math for Clinical Practice - E-Book

2014-04-14

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Author: Denise Macklin
Publisher: Elsevier Health Sciences
ISBN: 0323293735
Category : Medical
Languages : en
Pages : 512

Covering the ratio and proportion and formula methods, this comprehensive textbook presents a straightforward, real-world approach to the mathematical calculations used in the clinical setting. It features a unique, step-by-step process that teaches you to identify the information needed to perform a calculation, determine if information is missing, set up and perform the calculation, and check the answer to ensure accurracy. This systematic approach is designed to reduce human calculation errors and ensure patient safety. Common medications and methods of administration are used throughout the textbook, with more than 1,200 practice problems to help you master the math needed for clinical practice. All content, examples, problems, and scenarios are clinically based and completely up to date. More than 500 full-color illustrations show drug labels, parenteral and oral syringes, medicine cups, pumps, IV equipment, and more that are used in current clinical practice. Promotes learning with more than 1,200 practice problems and comprehensive math review problems. Safety Alert, Clinical Alert, and Human Error Alert boxes are incorporated throughout to promote safe practice. Clinical Connections begin each chapter and explain how that topic relates to clinical practice. Examples for each new topic are presented in a unique, step-by-step format: the prescription, what you HAVE, what you KNOW, what you WANT, critical thinking, answer for best care, human error check boxes, and does your answer fit the general guideline? Practice problems follow each set of examples to reinforce your understanding. Follows current TJC and ISMP safety recommendations. Answer key is new to this edition and provides immediate feedback for practice problems. Features the latest drug information in practice problems and photographs. Drug Calculations Student Companion, Version 4 will be available on Evolve. It offers practice and application with an interactive tutorial on various topic areas within drug calculations and features over an additional 600 practice problems.

Lost in Math

2018-06-12

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Author: Sabine Hossenfelder
Publisher: Basic Books
ISBN: 0465094260
Category : Science
Languages : en
Pages : 277

In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

Differentiating Math Instruction

2009-03-17

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Author: William N. Bender
Publisher: Corwin Press
ISBN: 9781412970822
Category : Education
Languages : en
Pages : 153

With recommendations based on the 2008 National Mathematics Advisory Panel report, this updated resource provides classroom-ready strategies for differentiating math instruction.

Summer for the Gods

2020-06-16

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Author: Edward J Larson
Publisher: Basic Books
ISBN: 1541646029
Category : Law
Languages : en
Pages : 352

The Pulitzer Prize-winning history of the Scopes Trial and the battle over evolution and creation in America's schools In the summer of 1925, the sleepy hamlet of Dayton, Tennessee, became the setting for one of the twentieth century's most contentious courtroom dramas, pitting William Jennings Bryan and the anti-Darwinists against a teacher named John Scopes, represented by Clarence Darrow and the ACLU, in a famous debate over science, religion, and their place in public education. That trial marked the start of a battle that continues to this day-in cities and states throughout the country. Edward Larson's classic Summer for the Gods -- winner of the Pulitzer Prize in History -- is the single most authoritative account of this pivotal event. An afterword assesses the state of the battle between creationism and evolution, and points the way to how it might potentially be resolved.

Math Curse

1995-10-01

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Author: Jon Scieszka
Publisher: Penguin
ISBN: 0670861944
Category : Juvenile Fiction
Languages : en
Pages : 34

Did you ever wake up to one of those days where everything is a problem? You have 10 things to do, but only 30 minutes until your bus leaves. Is there enough time? You have 3 shirts and 2 pairs of pants. Can you make 1 good outfit? Then you start to wonder: Why does everything have to be such a problem? Why do 2 apples always have to be added to 5 oranges? Why do 4 kids always have to divide 12 marbles? Why can't you just keep 10 cookies without someone taking 3 away? Why? Because you're the victim of a Math Curse. That's why. But don't despair. This is one girl's story of how that curse can be broken.

Good Math

2013-07-18

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Author: Mark C. Chu-Carroll
Publisher: Pragmatic Bookshelf
ISBN: 168050360X
Category : Computers
Languages : en
Pages : 261

Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.