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Notices of the American Mathematical Society
ISSN 0002-9920 of the American Mathematical Society February 2006 Volume 53, Number 2 Math Circles and Olympiads MSRI Asks: Is the U.S. Coming of Age? page 200 A System of Axioms of Set Theory for the Rationalists page 206 Durham Meeting page 299 San Francisco Meeting page 302 ICM Madrid 2006 (see page 213) > To mak• an antmat•d tub• plot Animated Tube Plot 1 Type an expression in one or :;)~~~G~~~t;~~i~~~~~~~~~~~~~:rtwo ' 2 Wrth the insertion point in the 3 Open the Plot Properties dialog the same variables Tl'le next animation shows • knot Plot 30 Animated + Tube Scientific Word ... version 5.5 Scientific Word"' offers the same features as Scientific WorkPlace, without the computer algebra system. Editors INTERNATIONAL Morris Weisfeld Editor-in-Chief Enrico Arbarello MATHEMATICS Joseph Bernstein Enrico Bombieri Richard E. Borcherds Alexei Borodin RESEARCH PAPERS Jean Bourgain Marc Burger James W. Cogdell http://www.hindawi.com/journals/imrp/ Tobias Colding Corrado De Concini IMRP provides very fast publication of lengthy research articles of high current interest in Percy Deift all areas of mathematics. All articles are fully refereed and are judged by their contribution Robbert Dijkgraaf to the advancement of the state of the science of mathematics. Issues are published as S. K. Donaldson frequently as necessary. Each issue will contain only one article. IMRP is expected to publish 400± pages in 2006. Yakov Eliashberg Edward Frenkel Articles of at least 50 pages are welcome and all articles are refereed and judged for Emmanuel Hebey correctness, interest, originality, depth, and applicability. Submissions are made by e-mail to Dennis Hejhal [email protected]. -
An Analytical Introduction to Descriptive Geometry
An analytical introduction to Descriptive Geometry Adrian B. Biran, Technion { Faculty of Mechanical Engineering Ruben Lopez-Pulido, CEHINAV, Polytechnic University of Madrid, Model Basin, and Spanish Association of Naval Architects Avraham Banai Technion { Faculty of Mathematics Prepared for Elsevier (Butterworth-Heinemann), Oxford, UK Samples - August 2005 Contents Preface x 1 Geometric constructions 1 1.1 Introduction . 2 1.2 Drawing instruments . 2 1.3 A few geometric constructions . 2 1.3.1 Drawing parallels . 2 1.3.2 Dividing a segment into two . 2 1.3.3 Bisecting an angle . 2 1.3.4 Raising a perpendicular on a given segment . 2 1.3.5 Drawing a triangle given its three sides . 2 1.4 The intersection of two lines . 2 1.4.1 Introduction . 2 1.4.2 Examples from practice . 2 1.4.3 Situations to avoid . 2 1.5 Manual drawing and computer-aided drawing . 2 i ii CONTENTS 1.6 Exercises . 2 Notations 1 2 Introduction 3 2.1 How we see an object . 3 2.2 Central projection . 4 2.2.1 De¯nition . 4 2.2.2 Properties . 5 2.2.3 Vanishing points . 17 2.2.4 Conclusions . 20 2.3 Parallel projection . 23 2.3.1 De¯nition . 23 2.3.2 A few properties . 24 2.3.3 The concept of scale . 25 2.4 Orthographic projection . 27 2.4.1 De¯nition . 27 2.4.2 The projection of a right angle . 28 2.5 The two-sheet method of Monge . 36 2.6 Summary . 39 2.7 Examples . 43 2.8 Exercises . -
Hubert Kennedy Eight Mathematical Biographies
Hubert Kennedy Eight Mathematical Biographies Peremptory Publications San Francisco 2002 © 2002 by Hubert Kennedy Eight Mathematical Biographies is a Peremptory Publications ebook. It may be freely distributed, but no changes may be made in it. Comments and suggestions are welcome. Please write to [email protected] . 2 Contents Introduction 4 Maria Gaetana Agnesi 5 Cesare Burali-Forti 13 Alessandro Padoa 17 Marc-Antoine Parseval des Chênes 19 Giuseppe Peano 22 Mario Pieri 32 Emil Leon Post 35 Giovanni Vailati 40 3 Introduction When a Dictionary of Scientific Biography was planned, my special research interest was Giuseppe Peano, so I volunteered to write five entries on Peano and his friends/colleagues, whose work I was investigating. (The DSB was published in 14 vol- umes in 1970–76, edited by C. C. Gillispie, New York: Charles Scribner's Sons.) I was later asked to write two more entries: for Parseval and Emil Leon Post. The entry for Post had to be done very quickly, and I could not have finished it without the generous help of one of his relatives. By the time the last of these articles was published in 1976, that for Giovanni Vailati, I had come out publicly as a homosexual and was involved in the gay liberation movement. But my article on Vailati was still discreet. If I had written it later, I would probably have included evidence of his homosexuality. The seven articles for the Dictionary of Scientific Biography have a uniform appear- ance. (The exception is the article on Burali-Forti, which I present here as I originally wrote it—with reference footnotes. -
Catholic Christian Christian
Religious Scientists (From the Vatican Observatory Website) https://www.vofoundation.org/faith-and-science/religious-scientists/ Many scientists are religious people—men and women of faith—believers in God. This section features some of the religious scientists who appear in different entries on these Faith and Science pages. Some of these scientists are well-known, others less so. Many are Catholic, many are not. Most are Christian, but some are not. Some of these scientists of faith have lived saintly lives. Many scientists who are faith-full tend to describe science as an effort to understand the works of God and thus to grow closer to God. Quite a few describe their work in science almost as a duty they have to seek to improve the lives of their fellow human beings through greater understanding of the world around them. But the people featured here are featured because they are scientists, not because they are saints (even when they are, in fact, saints). Scientists tend to be creative, independent-minded and confident of their ideas. We also maintain a longer listing of scientists of faith who may or may not be discussed on these Faith and Science pages—click here for that listing. Agnesi, Maria Gaetana (1718-1799) Catholic Christian A child prodigy who obtained education and acclaim for her abilities in math and physics, as well as support from Pope Benedict XIV, Agnesi would write an early calculus textbook. She later abandoned her work in mathematics and physics and chose a life of service to those in need. Click here for Vatican Observatory Faith and Science entries about Maria Gaetana Agnesi. -
Pursuit of Genius: Flexner, Einstein, and the Early Faculty at the Institute
i i i i PURSUIT OF GENIUS i i i i i i i i PURSUIT OF GENIUS Flexner, Einstein,and the Early Faculty at the Institute for Advanced Study Steve Batterson Emory University A K Peters, Ltd. Natick, Massachusetts i i i i i i i i Editorial, Sales, and Customer Service Office A K Peters, Ltd. 5 Commonwealth Road, Suite 2C Natick, MA 01760 www.akpeters.com Copyright ⃝c 2006 by A K Peters, Ltd. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form, electronic or mechanical, including photocopy- ing, recording, or by any information storage and retrieval system, without written permission from the copyright owner. Library of Congress Cataloging-in-Publication Data Batterson, Steve, 1950– Pursuit of genius : Flexner, Einstein, and the early faculty at the Institute for Advanced Study / Steve Batterson. p. cm. Includes bibliographical references and index. ISBN 13: 978-1-56881-259-5 (alk. paper) ISBN 10: 1-56881-259-0 (alk. paper) 1. Mathematics–Study and teaching (Higher)–New Jersey–Princeton–History. 2. Institute for Advanced Study (Princeton, N.J.). School of Mathematics–History. 3. Institute for Advanced Study (Princeton, N.J.). School of Mathematics–Faculty. I Title. QA13.5.N383 I583 2006 510.7’0749652--dc22 2005057416 Cover Photographs: Front cover: Clockwise from upper left: Hermann Weyl (1930s, cour- tesy of Nina Weyl), James Alexander (from the Archives of the Institute for Advanced Study), Marston Morse (photo courtesy of the American Mathematical Society), Albert Einstein (1932, The New York Times), John von Neumann (courtesy of Marina von Neumann Whitman), Oswald Veblen (early 1930s, from the Archives of the Institute for Advanced Study). -
Downloaded from Brill.Com09/24/2021 10:06:53AM Via Free Access 268 Revue De Synthèse : TOME 139 7E SÉRIE N° 3-4 (2018) Chercheur Pour IBM
REVUE DE SYNTHÈSE : TOME 139 7e SÉRIE N° 3-4 (2018) 267-288 brill.com/rds A Task that Exceeded the Technology: Early Applications of the Computer to the Lunar Three-body Problem Allan Olley* Abstract: The lunar Three-Body problem is a famously intractable problem of Newtonian mechanics. The demand for accurate predictions of lunar motion led to practical approximate solutions of great complexity, constituted by trigonometric series with hundreds of terms. Such considerations meant there was demand for high speed machine computation from astronomers during the earliest stages of computer development. One early innovator in this regard was Wallace J. Eckert, a Columbia University professor of astronomer and IBM researcher. His work illustrates some interesting features of the interaction between computers and astronomy. Keywords: history of astronomy – three body problem – history of computers – Wallace J. Eckert Une tâche excédant la technologie : l’utilisation de l’ordinateur dans le problème lunaire des trois corps Résumé : Le problème des trois corps appliqué à la lune est un problème classique de la mécanique newtonienne, connu pour être insoluble avec des méthodes exactes. La demande pour des prévisions précises du mouvement lunaire menait à des solutions d’approximation pratiques qui étaient d’une complexité considérable, avec des séries tri- gonométriques contenant des centaines de termes. Cela a très tôt poussé les astronomes à chercher des outils de calcul et ils ont été parmi les premiers à utiliser des calculatrices rapides, dès les débuts du développement des ordinateurs modernes. Un innovateur des ces années-là est Wallace J. Eckert, professeur d’astronomie à Columbia University et * Allan Olley, born in 1979, he obtained his PhD-degree from the Institute for the History and Philosophy of Science Technology (IHPST), University of Toronto in 2011. -
The Unified Theory of Meaning Emergence Mike Taylor RN, MHA
The Unified Theory of Meaning Emergence Mike Taylor RN, MHA, CDE Author Unaffiliated Nursing Theorist [email protected] Member of the Board – Plexus Institute Specialist in Complexity and Health Lead designer – The Commons Project, a web based climate change intervention My nursing theory book, “Nursing, Complexity and the Science of Compassion”, is currently under consideration by Springer Publishing 1 Introduction Nursing science and theory is unique among the scientific disciplines with its emphasis on the human-environment relationship since the time of Florence Nightingale. An excellent review article in the Jan-Mar 2019 issue of Advances in Nursing Science, explores the range of nursing thought and theory from metaparadigms and grand theories to middle range theories and identifies a common theme. A Unitary Transformative Person-Environment-Health process is both the knowledge and the art of nursing. This type of conceptual framework is both compatible with and informed by complexity science and this theory restates the Human-Environment in a complexity science framework. This theory makes a two-fold contribution to the science of nursing and health, the first is in the consolidation and restatement of already successful applications of complexity theory to demonstrate commonalities in adaptive principles in all systems through a unified definition of process. Having a unified theoretical platform allows the application of the common process to extend current understanding and potentially open whole new areas for exploration and intervention. Secondly, the theory makes a significant contribution in tying together the mathematical and conceptual frameworks of complexity when most of the literature on complexity in health separate them (Krakauer, J., 2017). -
A Light in the Darkness: Florence Nightingale's Legacy
A Light in the Darkness: FLORENCE NIGHTINGALE’S LEGACY Florence Nightingale, a pioneer of nursing, was born on May 12, 1820. In celebration of her 200th birthday, the World Health Organization declared 2020 the “Year of the Nurse and Midwife.” It's now clear that nurses and health care providers of all kinds face extraordinary circumstances this year. Nightingale had a lasting influence on patient care that's apparent even today. Nightingale earned the nickname “the Lady with the Lamp” because she checked on patients at night, which was rare at the time and especially rare for head nurses to do. COURTESY OF THE WELLCOME COLLECTION When Florence Nightingale was growing up in England in the early 19th century, nursing was not yet a respected profession. It was a trade that involved little training. Women from upper-class families like hers were not expected to handle strangers’ bodily functions. She defied her family because she saw nursing as a calling. Beginning in 1854, Nightingale led a team of nurses in the Crimean War, stationed in present-day Turkey. She saw that the overcrowded, stuffy hospital with an overwhelmed sewer system was leading to high death rates. She wrote to newspapers back home, inspiring the construction of a new hospital. In celebration of: Brought to you by: Nightingale, who wrote several books on hospital and nursing practice, is often portrayed with a letter or writing materials. COURTESY OF THE WELLCOME COLLECTION A REVOLUTIONARY APPROACH After the war, Nightingale founded the Nightingale created Nightingale Training School at cutting-edge charts, like this one, which displayed the St. -
List of Members
LIST OF MEMBERS, ALFRED BAKER, M.A., Professor of Mathematics, University of Toronto, Toronto, Canada. ARTHUR LATHAM BAKER, C.E., Ph.D., Professor of Mathe matics, Stevens School, Hpboken., N. J. MARCUS BAKER, U. S. Geological Survey, Washington, D.C. JAMES MARCUS BANDY, B.A., M.A., Professor of Mathe matics and Engineering, Trinit)^ College, N. C. EDGAR WALES BASS, Professor of Mathematics, U. S. Mili tary Academy, West Point, N. Y. WOOSTER WOODRUFF BEMAN, B.A., M.A., Member of the London Mathematical Society, Professor of Mathe matics, University of Michigan, Ann Arbor, Mich. R. DANIEL BOHANNAN, B.Sc, CE., E.M., Professor of Mathematics and Astronomy, Ohio State University, Columbus, Ohio. CHARLES AUGUSTUS BORST, M.A., Assistant in Astronomy, Johns Hopkins University, Baltimore, Md. EDWARD ALBERT BOWSER, CE., LL.D., Professor of Mathe matics, Rutgers College, New Brunswick, N. J. JOHN MILTON BROOKS, B.A., Instructor in Mathematics, College of New Jersey, Princeton, N. J. ABRAM ROGERS BULLIS, B.SC, B.C.E., Macedon, Wayne Co., N. Y. WILLIAM ELWOOD BYERLY, Ph.D., Professor of Mathematics, Harvard University, Cambridge*, Mass. WILLIAM CAIN, C.E., Professor of Mathematics and Eng ineering, University of North Carolina, Chapel Hill, N. C. CHARLES HENRY CHANDLER, M.A., Professor of Mathe matics, Ripon College, Ripon, Wis. ALEXANDER SMYTH CHRISTIE, LL.M., Chief of Tidal Division, U. S. Coast and Geodetic Survey, Washington, D. C. JOHN EMORY CLARK, M.A., Professor of Mathematics, Yale University, New Haven, Conn. FRANK NELSON COLE, Ph.D., Assistant Professor of Mathe matics, University of Michigan, Ann Arbor, Mich. -
Oswald Veblen
NATIONAL ACADEMY OF SCIENCES O S W A L D V E B LEN 1880—1960 A Biographical Memoir by S A U N D E R S M A C L ANE Any opinions expressed in this memoir are those of the author(s) and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoir COPYRIGHT 1964 NATIONAL ACADEMY OF SCIENCES WASHINGTON D.C. OSWALD VEBLEN June 24,1880—August 10, i960 BY SAUNDERS MAC LANE SWALD VEBLEN, geometer and mathematical statesman, spanned O in his career the full range of twentieth-century Mathematics in the United States; his leadership in transmitting ideas and in de- veloping young men has had a substantial effect on the present mathematical scene. At the turn of the century he studied at Chi- cago, at the period when that University was first starting the doc- toral training of young Mathematicians in this country. He then continued at Princeton University, where his own work and that of his students played a leading role in the development of an outstand- ing department of Mathematics in Fine Hall. Later, when the In- stitute for Advanced Study was founded, Veblen became one of its first professors, and had a vital part in the development of this In- stitute as a world center for mathematical research. Veblen's background was Norwegian. His grandfather, Thomas Anderson Veblen, (1818-1906) came from Odegaard, Homan Con- gregation, Vester Slidre Parish, Valdris. After work as a cabinet- maker and as a Norwegian soldier, he was anxious to come to the United States. -
Luther Pfahler Eisenhart
NATIONAL ACADEMY OF SCIENCES L UTHER PFAHLER E ISENHART 1876—1965 A Biographical Memoir by S O L O M O N L EFSCHETZ Any opinions expressed in this memoir are those of the author(s) and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoir COPYRIGHT 1969 NATIONAL ACADEMY OF SCIENCES WASHINGTON D.C. LUTHER PFAHLER EISENHART January 13, 1876-October 28,1965 BY SOLOMON LEFSCHETZ UTHER PFAHLER EISENHART was born in York, Pennsylvania, L to an old York family. He entered Gettysburg College in 1892. In his mid-junior and senior years he was the only student in mathematics, so his professor replaced classroom work by individual study of books plus reports. He graduated in 1896 and taught one year in the preparatory school of the college. He entered the Johns Hopkins Graduate School in 1897 and ob- tained his doctorate in 1900. In the fall of the latter year he began his career at Princeton as instructor in mathematics, re- maining at Princeton up to his retirement in 1945. In 1905 he was appointed by Woodrow Wilson (no doubt on Dean Henry B. Fine's suggestion) as one of the distinguished preceptors with the rank of assistant professor. This was in accordance with the preceptorial plan which Wilson introduced to raise the educational tempo of Princeton. There followed a full pro- fessorship in 1909 and deanship of the Faculty in 1925, which was combined with the chairmanship of the Department of Math- ematics as successor to Dean Fine in January 1930. In 1933 Eisenhart took over the deanship of the Graduate School. -
David Eugene Smith Collection
Ms Coll\Smith,D.E.\Historical Smith, David Eugene, 1860-1944, collector. Historical papers, [ca. 1400-1899] 17.5 linear ft.(ca. 10,100 items in 31 boxes) Biography: Mathematician. Professor of mathematics at the State Normal School, Cortland, N.Y., 1884-1891; at Michigan State Normal College, 1891-1898; at New York State Normal School, Brockport, N.Y., 1898-1901; and at Teachers College, Columbia University, 1901-1944. He was the editor of the Bulletin of the American Mathematical Society, the American Mathematical Monthly, and Scripta Mathematica, a member of the International Commission on the Teaching of Mathematics, 1908-1944; and librarian of Teachers College, 1902-1920. He was the author of Rara Mathemativca (1907), The History of Mathematics (1924), and many other works on the history of mathematics as well as over forty mathematical textbooks and numerous journal articles. He also collected manuscript materials relating to the history of mathematics. Summary: Correspondence, manuscripts, and documents of mathematicians and other scientists, often dealing with politics and fields other than mathematics. Many of these concern the French Revolution. Organization: Cataloged. * Alembert letters are available on microfilm (MN#2000-1207). Lalande letters are available on microfilm (MN#3605-4). Guillaume Libri letters are available in photocopy form. William John Clarke Miller are available on microfilm (MN#95-7023 to 95-2027). Gaspard Monge letters are available on microfilm (MN#80-1582). Selected Isaac Newton letters are available on microfilm (MN#3617-5). Selected Quetelet letters are available on microfilm (MN#3623-7). Finding aids: Contents list, 19p. Donor: Gift of David Eugene Smith, 1931.