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A MATHEMATICIAN's SURVIVAL GUIDE 1. an Algebra Teacher I
A MATHEMATICIAN’S SURVIVAL GUIDE PETER G. CASAZZA 1. An Algebra Teacher I could Understand Emmy award-winning journalist and bestselling author Cokie Roberts once said: As long as algebra is taught in school, there will be prayer in school. 1.1. An Object of Pride. Mathematician’s relationship with the general public most closely resembles “bipolar” disorder - at the same time they admire us and hate us. Almost everyone has had at least one bad experience with mathematics during some part of their education. Get into any taxi and tell the driver you are a mathematician and the response is predictable. First, there is silence while the driver relives his greatest nightmare - taking algebra. Next, you will hear the immortal words: “I was never any good at mathematics.” My response is: “I was never any good at being a taxi driver so I went into mathematics.” You can learn a lot from taxi drivers if you just don’t tell them you are a mathematician. Why get started on the wrong foot? The mathematician David Mumford put it: “I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate.” 1.2. A Balancing Act. The other most common response we get from the public is: “I can’t even balance my checkbook.” This reflects the fact that the public thinks that mathematics is basically just adding numbers. They have no idea what we really do. Because of the textbooks they studied, they think that all needed mathematics has already been discovered. -
Scientific Communities in the Developing World Scientific Communities in the Developing World
Scientific Communities in the Developing World Scientific Communities in the Developing World Edited by jacques Caillard V.V. Krishna Roland Waast Sage Publications New Delhiflhousand Oaks/London Copyright @) Jacques Gaillard, V.V. Krishna and Roland Waast, 1997. All rights reserved. No part of this book may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage or retrieval system, without permission in writing from the publisher. First published in 1997 by Sage Publications India Pvt Ltd M-32, Greater Kailash Market I New Delhi 110 048 Sage Publications Inc Sage Publications Ltd 2455 Teller Road 6 Bonhill Street Thousand Oaks, California 91320 London EC2A 4PU Published by Tejeshwar Singh for Sage Publications India Pvt Ltd, phototypeset by Pagewell Photosetters, Pondicherry and printed at Chaman Enterprises, Delhi. Library of Congress Cataloging-in-Publication Data Scientific communities in the developing world I edited by Jacques Gaillard, V.V. Krishna, Roland Waast. p. cm. Includes bibliographical references and index. 1. Science-Developing countries--History. 2. Science-Social aspect- Developing countries--History. I. Gaillard, Jacques, 1951- . 11. Krishna, V.V. 111. Waast, Roland, 1940- . Q127.2.S44 306.4'5'091724--dc20 1996 9617807 ISBN: 81-7036565-1 (India-hb) &8039-9330-7 (US-hb) Sage Production Editor: Sumitra Srinivasan Contents List of Tables List of Figures Preface 1. Introduction: Scientific Communities in the Developing World Jacques Gaillard, V.V. Krishna and Roland Waast Part 1: Scientific Communities in Africa 2. Sisyphus or the Scientific Communities of Algeria Ali El Kenz and Roland Waast 3. -
MY UNFORGETTABLE EARLY YEARS at the INSTITUTE Enstitüde Unutulmaz Erken Yıllarım
MY UNFORGETTABLE EARLY YEARS AT THE INSTITUTE Enstitüde Unutulmaz Erken Yıllarım Dinakar Ramakrishnan `And what was it like,’ I asked him, `meeting Eliot?’ `When he looked at you,’ he said, `it was like standing on a quay, watching the prow of the Queen Mary come towards you, very slowly.’ – from `Stern’ by Seamus Heaney in memory of Ted Hughes, about the time he met T.S.Eliot It was a fortunate stroke of serendipity for me to have been at the Institute for Advanced Study in Princeton, twice during the nineteen eighties, first as a Post-doctoral member in 1982-83, and later as a Sloan Fellow in the Fall of 1986. I had the privilege of getting to know Robert Langlands at that time, and, needless to say, he has had a larger than life influence on me. It wasn’t like two ships passing in the night, but more like a rowboat feeling the waves of an oncoming ship. Langlands and I did not have many conversations, but each time we did, he would make a Zen like remark which took me a long time, at times months (or even years), to comprehend. Once or twice it even looked like he was commenting not on the question I posed, but on a tangential one; however, after much reflection, it became apparent that what he had said had an interesting bearing on what I had been wondering about, and it always provided a new take, at least to me, on the matter. Most importantly, to a beginner in the field like I was then, he was generous to a fault, always willing, whenever asked, to explain the subtle aspects of his own work. -
Jul/Aug 2013
I NTERNATIONAL J OURNAL OF H IGH -E NERGY P HYSICS CERNCOURIER WELCOME V OLUME 5 3 N UMBER 6 J ULY /A UGUST 2 0 1 3 CERN Courier – digital edition Welcome to the digital edition of the July/August 2013 issue of CERN Courier. This “double issue” provides plenty to read during what is for many people the holiday season. The feature articles illustrate well the breadth of modern IceCube brings particle physics – from the Standard Model, which is still being tested in the analysis of data from Fermilab’s Tevatron, to the tantalizing hints of news from the deep extraterrestrial neutrinos from the IceCube Observatory at the South Pole. A connection of a different kind between space and particle physics emerges in the interview with the astronaut who started his postgraduate life at CERN, while connections between particle physics and everyday life come into focus in the application of particle detectors to the diagnosis of breast cancer. And if this is not enough, take a look at Summer Bookshelf, with its selection of suggestions for more relaxed reading. To sign up to the new issue alert, please visit: http://cerncourier.com/cws/sign-up. To subscribe to the magazine, the e-mail new-issue alert, please visit: http://cerncourier.com/cws/how-to-subscribe. ISOLDE OUTREACH TEVATRON From new magic LHC tourist trail to the rarest of gets off to a LEGACY EDITOR: CHRISTINE SUTTON, CERN elements great start Results continue DIGITAL EDITION CREATED BY JESSE KARJALAINEN/IOP PUBLISHING, UK p6 p43 to excite p17 CERNCOURIER www. -
Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
The Role of Social Context in the Production of Scientific Knowledge
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Supervised Undergraduate Student Research Chancellor’s Honors Program Projects and Creative Work 5-2015 The Role of Social Context in the Production of Scientific Knowledge Kristen Lynn Beard [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_chanhonoproj Part of the Philosophy of Science Commons Recommended Citation Beard, Kristen Lynn, "The Role of Social Context in the Production of Scientific nowledgeK " (2015). Chancellor’s Honors Program Projects. https://trace.tennessee.edu/utk_chanhonoproj/1852 This Dissertation/Thesis is brought to you for free and open access by the Supervised Undergraduate Student Research and Creative Work at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Chancellor’s Honors Program Projects by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. The Role of Social Context in the Production of Scientific Knowledge Kristen Lynn Beard The University of Tennessee, Knoxville Chancellor’s Honors Program Department of Philosophy Undergraduate Thesis Submitted December 8, 2014 Thesis Advisor: Dr. Nora Berenstain Beard 1 Model 1: The Influence of Social Context on the Scientific Method Beard 2 Introduction: Scientific Knowledge as Both Social and Rational A person may believe that a certain theory is true and explain that he does so, for instance, because it is the best explanation he has of the facts or because it gives him the most satisfying world picture. This does not make him irrational, but I take it to be part of empiricism to disdain such reasons. -
Robert P. Langlands Receives the Abel Prize
Robert P. Langlands receives the Abel Prize The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2018 to Robert P. Langlands of the Institute for Advanced Study, Princeton, USA “for his visionary program connecting representation theory to number theory.” Robert P. Langlands has been awarded the Abel Prize project in modern mathematics has as wide a scope, has for his work dating back to January 1967. He was then produced so many deep results, and has so many people a 30-year-old associate professor at Princeton, working working on it. Its depth and breadth have grown and during the Christmas break. He wrote a 17-page letter the Langlands program is now frequently described as a to the great French mathematician André Weil, aged 60, grand unified theory of mathematics. outlining some of his new mathematical insights. The President of the Norwegian Academy of Science and “If you are willing to read it as pure speculation I would Letters, Ole M. Sejersted, announced the winner of the appreciate that,” he wrote. “If not – I am sure you have a 2018 Abel Prize at the Academy in Oslo today, 20 March. waste basket handy.” Biography Fortunately, the letter did not end up in a waste basket. His letter introduced a theory that created a completely Robert P. Langlands was born in New Westminster, new way of thinking about mathematics: it suggested British Columbia, in 1936. He graduated from the deep links between two areas, number theory and University of British Columbia with an undergraduate harmonic analysis, which had previously been considered degree in 1957 and an MSc in 1958, and from Yale as unrelated. -
Bringing Science and Scientists to Life in Post-Secondary Science Education
Sci & Educ DOI 10.1007/s11191-010-9310-7 The Story Behind the Science: Bringing Science and Scientists to Life in Post-Secondary Science Education Michael P. Clough Ó Springer Science+Business Media B.V. 2010 Abstract With funding from the United States National Science Foundation, 30 histor- ical short stories designed to teach science content and draw students’ attention to the nature of science (NOS) have been created for post-secondary introductory astronomy, biology, chemistry, geology, and physics courses. The project rationale, story development and structure, and freely available stories at the project website are presented. 1 Introduction The phrase ‘‘nature of science’’ (NOS) has been used for some time, particularly in the science education community, in referring to what science is, how science works, the epistemological and ontological foundations underlying science, the culture of science, and how society both influences and reacts to scientific activities (Clough 2006). Accurately understanding the NOS is crucial for science literacy (AAAS 1989; Matthews 1994; McComas and Olson 1998; NRC 1996) and can perhaps play an important role in enticing students to further their science education. Matthews (1994), McComas et al. (1998) and others have argued that knowledge of scientists and how science works will enhance students’ understanding of science as a human endeavor; increase interest in science and science classes; improve student learning of science content; and promote better social decision-making. Morris Shamos (1995) claimed that understanding the NOS is the most important component of scientific literacy because that knowledge, accurate or not, is what citizens use when assessing public issues involving science and technology. -
How Science Works
PB 1 How science works The Scientific Method is traditionally presented in the first chapter of science text- books as a simple recipe for performing scientific investigations. Though many use- ful points are embodied in this method, it can easily be misinterpreted as linear and “cookbook”: pull a problem off the shelf, throw in an observation, mix in a few ques- tions, sprinkle on a hypothesis, put the whole mixture into a 350° experiment—and voila, 50 minutes later you’ll be pulling a conclusion out of the oven! That might work if science were like Hamburger Helper®, but science is complex and cannot be re- duced to a single, prepackaged recipe. The linear, stepwise representation of the process of science is simplified, but it does get at least one thing right. It captures the core logic of science: testing ideas with evidence. However, this version of the scientific method is so simplified and rigid that it fails to accurately portray how real science works. It more accurately describes how science is summarized after the fact—in textbooks and journal articles—than how sci- ence is actually done. The simplified, linear scientific method implies that scientific studies follow an unvarying, linear recipe. But in reality, in their work, scientists engage in many different activities in many different sequences. Scientific investigations often involve repeating the same steps many times to account for new information and ideas. The simplified, linear scientific method implies that science is done by individual scientists working through these steps in isolation. But in reality, science depends on interactions within the scientific community. -
Commodity and Energy Markets Conference at Oxford University
Commodity and Energy Markets Conference Annual Meeting 2017 th th 14 - 15 June Page | 1 Commodity and Energy Markets Conference Contents Welcome 3 Essential Information 4 Bird’s-eye view of programme 6 Detailed programme 8 Venue maps 26 Mezzanine level of Andrew Wiles Building 27 Local Information 28 List of Participants 29 Keynote Speakers 33 Academic journals: special issues 34 Sponsors 35 Page | 2 Welcome On behalf of the Mathematical Institute, it is our great pleasure to welcome you to the University of Oxford for the Commodity and Energy Markets annual conference (2017). The Commodity and Energy Markets annual conference 2017 is the latest in a long standing series of meetings. Our first workshop was held in London in 2004, and after that we expanded the scope and held yearly conferences in different locations across Europe. Nowadays, the Commodity and Energy Markets conference is the benchmark meeting for academics who work in this area. This year’s event covers a wide range of topics in commodities and energy. We highlight three keynote talks. Prof Hendrik Bessembinder (Arizona State University) will talk on “Measuring returns to those who invest in energy through futures”, and Prof Sebastian Jaimungal (University of Toronto) will talk about “Stochastic Control in Commodity & Energy Markets: Model Uncertainty, Algorithmic Trading, and Future Directions”. Moreover, Tony Cocker, E.ON’s Chief Executive Officer, will share his views and insights into the role of mathematical modelling in the energy industry. In addition to the over 100 talks, a panel of academics and professional experts will discuss “The future of energy trading in the UK and Europe: a single energy market?” The roundtable is sponsored by the Italian Association of Energy Suppliers and Traders (AIGET) and European Energy Retailers (EER). -
Basic Statistics Range, Mean, Median, Mode, Variance, Standard Deviation
Kirkup Chapter 1 Lecture Notes SEF Workshop presentation = Science Fair Data Analysis_Sohl.pptx EDA = Exploratory Data Analysis Aim of an Experiment = Experiments should have a goal. Make note of interesting issues for later. Be careful not to get side-tracked. Designing an Experiment = Put effort where it makes sense, do preliminary fractional error analysis to determine where you need to improve. Units analysis and equation checking Units website Writing down values: scientific notation and SI prefixes http://en.wikipedia.org/wiki/Metric_prefix Significant Figures Histograms in Excel Bin size – reasonable round numbers 15-16 not 14.8-16.1 Bin size – reasonable quantity: Rule of Thumb = # bins = √ where n is the number of data points. Basic Statistics range, mean, median, mode, variance, standard deviation Population, Sample Cool trick for small sample sizes. Estimate this works for n<12 or so. √ Random Error vs. Systematic Error Metric prefixes m n [n 1] Prefix Symbol 1000 10 Decimal Short scale Long scale Since 8 24 yotta Y 1000 10 1000000000000000000000000septillion quadrillion 1991 7 21 zetta Z 1000 10 1000000000000000000000sextillion trilliard 1991 6 18 exa E 1000 10 1000000000000000000quintillion trillion 1975 5 15 peta P 1000 10 1000000000000000quadrillion billiard 1975 4 12 tera T 1000 10 1000000000000trillion billion 1960 3 9 giga G 1000 10 1000000000billion milliard 1960 2 6 mega M 1000 10 1000000 million 1960 1 3 kilo k 1000 10 1000 thousand 1795 2/3 2 hecto h 1000 10 100 hundred 1795 1/3 1 deca da 1000 10 10 ten 1795 0 0 1000 -
Luis Alvarez: the Ideas Man
CERN Courier March 2012 Commemoration Luis Alvarez: the ideas man The years from the early 1950s to the late 1980s came alive again during a symposium to commemorate the birth of one of the great scientists and inventors of the 20th century. Luis Alvarez – one of the greatest experimental physicists of the 20th century – combined the interests of a scientist, an inventor, a detective and an explorer. He left his mark on areas that ranged from radar through to cosmic rays, nuclear physics, particle accel- erators, detectors and large-scale data analysis, as well as particles and astrophysics. On 19 November, some 200 people gathered at Berkeley to commemorate the 100th anniversary of his birth. Alumni of the Alvarez group – among them physicists, engineers, programmers and bubble-chamber film scanners – were joined by his collaborators, family, present-day students and admirers, as well as scientists whose professional lineage traces back to him. Hosted by the Lawrence Berkeley National Laboratory (LBNL) and the University of California at Berkeley, the symposium reviewed his long career and lasting legacy. A recurring theme of the symposium was, as one speaker put it, a “Shakespeare-type dilemma”: how could one person have accom- plished all of that in one lifetime? Beyond his own initiatives, Alvarez created a culture around him that inspired others to, as George Smoot put it, “think big,” as well as to “think broadly and then deep” and to take risks. Combined with Alvarez’s strong scientific standards and great care in execut- ing them, these principles led directly to the awarding of two Nobel Luis Alvarez celebrating the announcement of his 1968 Nobel prizes in physics to scientists at Berkeley – George Smoot in 2006 prize.