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Author | : Apoorva Khare |
Publisher | : Yale University Press |
Total Pages | : 476 |
Release | : 2015-08-25 |
Genre | : Mathematics |
ISBN | : 0300216424 |
Two mathematicians explore how math fits into everything from art, music, and literature to space probes and game shows. In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are like knights serving as messengers for their traveling prince. Perfect for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska’s enlightening mathematics tour will appeal to a wide audience. “A whirlwind tour through mathematics and its applications to the real world, laced with stimulating exercises and fascinating historical insights. Destined to become a classic of mathematical exposition.” —Eli Maor, author of e: the Story of a Number and Trigonometric Delights “Khare and Lachowska introduce bite-size pieces of important math by surrounding them with interesting context, from the Monty Hall problem for probability to a story by Dino Buzzati for velocity. Math treated with seriousness and fun.” —Michael Frame, co-author, with Benoit Mandelbrot, of Fractals, Graphics, and Mathematics Education “An excellent book, well-suited for a thoughtful, quantitatively-rigorous ‘Math for Humanists’ course.” —William Goldbloom Bloch, author of The Unimaginable Mathematics of Borges’ Library of Babel
Author | : Apoorva Khare |
Publisher | : Yale University Press |
Total Pages | : 480 |
Release | : 2015-08-25 |
Genre | : Mathematics |
ISBN | : 0300190891 |
In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience.
Author | : Mircea Pitici |
Publisher | : Princeton University Press |
Total Pages | : 402 |
Release | : 2017-02-14 |
Genre | : Mathematics |
ISBN | : 1400885604 |
The year's finest mathematics writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Author | : Edward R. Scheinerman |
Publisher | : Yale University Press |
Total Pages | : 295 |
Release | : 2017-01-01 |
Genre | : Mathematics |
ISBN | : 0300223005 |
Twenty-three mathematical masterpieces for exploration and enlightenment How can a shape have more than one dimension but fewer than two? What is the best way to elect public officials when more than two candidates are vying for the office? Is it possible for a highly accurate medical test to give mostly incorrect results? Can you tile your floor with regular pentagons? How can you use only the first digit of sales numbers to determine if your accountant is lying? Can mathematics give insights into free will? Edward Scheinerman, an accomplished mathematician and enthusiastic educator, answers all these questions and more in this book, a collection of mathematical masterworks. In bite-sized chapters that require only high school algebra, he invites readers to try their hands at solving mathematical puzzles and provides an engaging and friendly tour of numbers, shapes, and uncertainty. The result is an unforgettable introduction to the fundamentals and pleasures of thinking mathematically.
Author | : Sanjoy Mahajan |
Publisher | : MIT Press |
Total Pages | : 152 |
Release | : 2010-03-05 |
Genre | : Education |
ISBN | : 0262265591 |
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Author | : Max Tegmark |
Publisher | : Vintage |
Total Pages | : 434 |
Release | : 2015-02-03 |
Genre | : Science |
ISBN | : 0307744256 |
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Author | : Francis Chan |
Publisher | : David C Cook |
Total Pages | : 226 |
Release | : 2013-04-01 |
Genre | : Religion |
ISBN | : 0781411033 |
Revised & Updated Edition! God is love. Crazy, relentless, all-powerful love. Have you ever wondered if we're missing it? It's crazy, if you think about it. The God of the universe—the Creator of nitrogen and pine needles, galaxies and E-minor—loves us with a radical, unconditional, self-sacrificing love. And what is our typical response? We go to church, sing songs, and try not to cuss. Whether you've verbalized it yet or not, we all know something's wrong. Does something deep inside your heart long to break free from the status quo? Are you hungry for an authentic faith that addresses the problems of our world with tangible, even radical, solutions? God is calling you to a passionate love relationship with Himself. Because the answer to religious complacency isn't working harder at a list of do's and don'ts—it's falling in love with God. And once you encounter His love, as Francis describes it, you will never be the same. Because when you're wildly in love with someone, it changes everything. Learn more about Crazy Love at www.crazylovebook.com.
Author | : Scott Cunningham |
Publisher | : Yale University Press |
Total Pages | : 585 |
Release | : 2021-01-26 |
Genre | : Business & Economics |
ISBN | : 0300255888 |
An accessible, contemporary introduction to the methods for determining cause and effect in the Social Sciences “Causation versus correlation has been the basis of arguments—economic and otherwise—since the beginning of time. Causal Inference: The Mixtape uses legit real-world examples that I found genuinely thought-provoking. It’s rare that a book prompts readers to expand their outlook; this one did for me.”—Marvin Young (Young MC) Causal inference encompasses the tools that allow social scientists to determine what causes what. In a messy world, causal inference is what helps establish the causes and effects of the actions being studied—for example, the impact (or lack thereof) of increases in the minimum wage on employment, the effects of early childhood education on incarceration later in life, or the influence on economic growth of introducing malaria nets in developing regions. Scott Cunningham introduces students and practitioners to the methods necessary to arrive at meaningful answers to the questions of causation, using a range of modeling techniques and coding instructions for both the R and the Stata programming languages.
Author | : Michael Frame |
Publisher | : Yale University Press |
Total Pages | : 542 |
Release | : 2021-06-22 |
Genre | : Mathematics |
ISBN | : 0300258429 |
An award-winning professor’s introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This is the first of a two-part series exploring essential concepts of calculus in the context of biological systems. Michael Frame covers essential ideas and theories of basic calculus and probability while providing examples of how they apply to subjects like chemotherapy and tumor growth, chemical diffusion, allometric scaling, predator-prey relations, and nerve impulses. Based on the author’s calculus class at Yale University, the book makes concepts of calculus more relatable for science majors and premedical students.
Author | : Colleen Hoover |
Publisher | : Grand Central Publishing |
Total Pages | : 295 |
Release | : 2021-10-05 |
Genre | : Fiction |
ISBN | : 153872474X |
Whose truth is the lie? Stay up all night reading the sensational psychological thriller that has readers obsessed, from the #1 New York Times bestselling author of Too Late and It Ends With Us. #1 New York Times Bestseller · USA Today Bestseller · Globe and Mail Bestseller · Publishers Weekly Bestseller Lowen Ashleigh is a struggling writer on the brink of financial ruin when she accepts the job offer of a lifetime. Jeremy Crawford, husband of bestselling author Verity Crawford, has hired Lowen to complete the remaining books in a successful series his injured wife is unable to finish. Lowen arrives at the Crawford home, ready to sort through years of Verity’s notes and outlines, hoping to find enough material to get her started. What Lowen doesn’t expect to uncover in the chaotic office is an unfinished autobiography Verity never intended for anyone to read. Page after page of bone-chilling admissions, including Verity's recollection of the night her family was forever altered. Lowen decides to keep the manuscript hidden from Jeremy, knowing its contents could devastate the already grieving father. But as Lowen’s feelings for Jeremy begin to intensify, she recognizes all the ways she could benefit if he were to read his wife’s words. After all, no matter how devoted Jeremy is to his injured wife, a truth this horrifying would make it impossible for him to continue loving her.