Bernt Michael Holmboe's Textbooks
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Programme 2009 the Abel Prize Ceremony 19 May 2009 Procession Accompanied by the “Abel Fanfare” Music: Klaus Sandvik
Programme 2009 The Abel Prize Ceremony 19 May 2009 Procession accompanied by the “Abel Fanfare” Music: Klaus Sandvik. Performed by three musicians from the Staff Band of the Norwegian Defence Forces Their Majesties King Harald and Queen Sonja enter the hall Soroban Arve Henriksen (trumpet) (Music: Arve Henriksen) Opening by Øyvind Østerud President of the Norwegian Academy of Science and Letters Eg veit i himmerik ei borg Trio Mediæval, Arve Henriksen (Norwegian folk tune from Hallingdal, arr. Linn A. Fuglseth) The Abel Prize Award Ceremony Professor Kristian Seip Chairman of the Abel Committee The Committee’s citation His Majesty King Harald presents the Abel Prize to Mikhail Leonidovich Gromov Acceptance speech by Mikhail Leonidovich Gromov Closing remarks by Professor Øyvind Østerud President of the Norwegian Academy of Science and Letters Till, till Tove Trio Mediæval, Arve Henriksen, Birger Mistereggen (percussion) (Norwegian folk tune from Vestfold, arr. Tone Krohn) Their Majesties King Harald and Queen Sonja leave the hall Procession leaves the hall Other guests leave the hall when the procession has left to a skilled mathematics teacher in the upper secondary school is called after Abel’s own Professor Øyvind Østerud teacher, Bernt Michael Holmboe. There is every reason to remember Holmboe, who was President of the Norwegian Academy of Science and Letters Abel’s mathematics teacher at Christiania Cathedral School from when Abel was 16. Holmboe discovered Abel’s talent, inspired him, encouraged him, and took the young pupil considerably further than the curriculum demanded. He pointed him to the professional literature, helped Your Majesties, Excellencies, dear friends, him with overseas contacts and stipends and became a lifelong colleague and friend. -
Oslo 2004: the Abel Prize Celebrations
NEWS OsloOslo 2004:2004: TheThe AbelAbel PrizePrize celebrationscelebrations Nils Voje Johansen and Yngvar Reichelt (Oslo, Norway) On 25 March, the Norwegian Academy of Science and Letters announced that the Abel Prize for 2004 was to be awarded to Sir Michael F. Atiyah of the University of Edinburgh and Isadore M. Singer of MIT. This is the second Abel Prize awarded following the Norwegian Government’s decision in 2001 to allocate NOK 200 million to the creation of the Abel Foundation, with the intention of award- ing an international prize for outstanding research in mathematics. The prize, amounting to NOK 6 million, was insti- tuted to make up for the fact that there is no Nobel Prize for mathematics. In addi- tion to awarding the international prize, the Foundation shall contribute part of its earnings to measures for increasing inter- est in, and stimulating recruitment to, Nils Voje Johansen Yngvar Reichelt mathematical and scientific fields. The first Abel Prize was awarded in machine – the brain and the computer, break those rules creatively, just like an 2003 to the French mathematician Jean- with the subtitle “Will a computer ever be artist or a musical composer. Pierre Serre for playing a key role in shap- awarded the Abel Prize?” Quentin After a brief interval, Quentin Cooper ing the modern form of many parts of Cooper, one of the BBC’s most popular invited questions from the audience and a mathematics. In 2004, the Abel radio presenters, chaired the meeting, in number of points were brought up that Committee decided that Michael F. which Sir Michael spoke for an hour to an Atiyah addressed thoroughly and profes- Atiyah and Isadore M. -
All About Abel Dayanara Serges Niels Henrik Abel (August 5, 1802-April 6,1829) Was a Norwegian Mathematician Known for Numerous Contributions to Mathematics
All About Abel Dayanara Serges Niels Henrik Abel (August 5, 1802-April 6,1829) was a Norwegian mathematician known for numerous contributions to mathematics. Abel was born in Finnoy, Norway, as the second child of a dirt poor family of eight. Abels father was a poor Lutheran minister who moved his family to the parish of Gjerstad, near the town of Risr in southeast Norway, soon after Niels Henrik was born. In 1815 Niels entered the cathedral school in Oslo, where his mathematical talent was recognized in 1817 by his math teacher, Bernt Michael Holmboe, who introduced him to the classics in mathematical literature and proposed original problems for him to solve. Abel studied the mathematical works of the 17th-century Englishman Sir Isaac Newton, the 18th-century German Leonhard Euler, and his contemporaries the Frenchman Joseph-Louis Lagrange and the German Carl Friedrich Gauss in preparation for his own research. At the age of 16, Abel gave a proof of the Binomial Theorem valid for all numbers not only Rationals, extending Euler's result. Abels father died in 1820, leaving the family in straitened circumstances, but Holmboe and other professors contributed and raised funds that enabled Abel to enter the University of Christiania (Oslo) in 1821. Abels first papers, published in 1823, were on functional equations and integrals; he was the first person to formulate and solve an integral equation. He had also created a proof of the impossibility of solving algebraically the general equation of the fifth degree at the age of 19, which he hoped would bring him recognition. -
Éclat a Mathematics Journal
Éclat A Mathematics Journal Volume I 2010 Department of Mathematics Lady Shri Ram College For Women Éclat A Mathematics Journal Volume I 2010 To Our Beloved Teacher Mrs. Santosh Gupta for her 42 years of dedication Preface The revival of Terminus a quo into E´clat has been a memorable experience. Eclat´ , with its roots in french, means brilliance. The journey from the origin of Terminus a quo to the brilliance of E´clat is the journey we wish to undertake. In our attempt to present diverse concepts, we have divided the journal into four sections - History of Mathematics, Rigour in Mathematics, Extension of Course Contents and Interdisciplinary Aspects of Mathematics. The work contained here is not original but consists of the review articles contributed by both faculty and students. This journal aims at providing a platform for students who wish to publish their ideas and also other concepts they might have come across. Our entire department has been instrumental in the publishing of this journal. Its compilation has evolved after continuous research and discussion. Both the faculty and the students have been equally enthusiastic about this project and hope such participation continues. We hope that this journal would become a regular annual feature of the department and would encourage students to hone their skills in doing individual research and in writing academic papers. It is an opportunity to go beyond the prescribed limits of the text and to expand our knowledge of the subject. Dootika Vats Ilika Mohan Rangoli Jain Contents Topics Page 1) History of Mathematics 1 • Abelia - The Story of a Great Mathematician 2 • Geometry in Ancient Times 6 2) Rigour in Mathematics 10 • Lebesgue Measure and Integration 11 • Construction of the Real Number System 18 • Fuzzy Logic in Action 25 3) Extension of Course Contents 29 • Continuum Hypothesis 30 • Dihedral Groups 35 4) Inter-disciplinary Aspects of Mathematics 41 • Check Digits 42 • Batting Average 46 1 History of Mathematics The history behind various mathematical concepts and great mathemati- cians is intriguing. -
Shipshaped Kongsberg Industry and Innovations in Deepwater
Shipshaped Kongsberg industry and innovations in deepwater technology, 1975-2007 by Stein Bjørnstad A dissertation submitted to BI Norwegian School of Management for the degree of PhD Series of Dissertations 7/2009 BI Norwegian School of Management Department of Innovation and Economic Organisation Stein Bjørnstad Shipshaped: Kongsberg industry and innovations in deepwater technology, 1975-2007 © Stein Bjørnstad 2009 Series of Dissertations 7/2009 ISBN: 978 82 7042 951 6 ISSN: 1502-2099 BI Norwegian School of Management N-0442 Oslo Phone: +47 4641 0000 www.bi.no Printing: Nordberg The dissertation may be ordered from our website www.bi.no (Research – Research Publications) 2 Abstract Shipshaped is a thesis on the emergence of an innovative offshore supplier industry. Multiple influences combined to the success of various techniques to extract oil and gas without fixed platforms; this thesis put particular emphasis on the relaxation of hierarchies in fostering innovation. Such disintegration occurred within firms in which empowered employees took on larger responsibilities and between firms. The pace of innovation accelerated where people were allowed to sort out things themselves rather than conforming to directions from above. Initially these conditions were more evident in offshore support services serviced by shipping companies, but practices pioneered in shipping eventually spread to the proper offshore oil industry. Two business units at Kongsberg, Albatross and Kongsberg Offshore, serves as a vantage point for this thesis. Kongsberg Offshore pioneered production systems that help oil companies control the flow of petroleum from a valve tree on the seabed rather than on fixed platforms. Albatross pioneered dynamic positioning, a technique that helps shipping companies maintain their position using propellers rather than mooring lines and anchors. -
Catalogue of Place Names in Northern East Greenland
Catalogue of place names in northern East Greenland In this section all officially approved, and many Greenlandic names are spelt according to the unapproved, names are listed, together with explana- modern Greenland orthography (spelling reform tions where known. Approved names are listed in 1973), with cross-references from the old-style normal type or bold type, whereas unapproved spelling still to be found on many published maps. names are always given in italics. Names of ships are Prospectors place names used only in confidential given in small CAPITALS. Individual name entries are company reports are not found in this volume. In listed in Danish alphabetical order, such that names general, only selected unapproved names introduced beginning with the Danish letters Æ, Ø and Å come by scientific or climbing expeditions are included. after Z. This means that Danish names beginning Incomplete documentation of climbing activities with Å or Aa (e.g. Aage Bertelsen Gletscher, Aage de by expeditions claiming ‘first ascents’ on Milne Land Lemos Dal, Åkerblom Ø, Ålborg Fjord etc) are found and in nunatak regions such as Dronning Louise towards the end of this catalogue. Å replaced aa in Land, has led to a decision to exclude them. Many Danish spelling for most purposes in 1948, but aa is recent expeditions to Dronning Louise Land, and commonly retained in personal names, and is option- other nunatak areas, have gained access to their al in some Danish town names (e.g. Ålborg or Aalborg region of interest using Twin Otter aircraft, such that are both correct). However, Greenlandic names be - the remaining ‘climb’ to the summits of some peaks ginning with aa following the spelling reform dating may be as little as a few hundred metres; this raises from 1973 (a long vowel sound rather than short) are the question of what constitutes an ‘ascent’? treated as two consecutive ‘a’s. -
BJERKNES – LIKE FATHER – LIKE SON by Doria B. Grimes U.S. Dept
BJERKNES – LIKE FATHER – LIKE SON By Doria B. Grimes U.S. Dept. of Commerce National Oceanic and Atmospheric Administration Central Library [email protected] A comparison of the lives of the Bjerknes family of researchers – Carl Anton (1825- 1903), Vilhelm (1862-1951), and Jakob (1897-1975) reveal unique parallelisms that are significant to the history of meteorology and to this great family legacy of scholars. Some of these parallelisms were caused by international events, while others were by personal choice. In the following presentation, I will four notable occurrences: 1) personal decisions to postpone scholarship to support a father’s research 2) relocations due to international conflicts 3) establishment of world renowned schools of meteorology and 4) funding from the Carnegie Institute of Washington. 1. Personal Choice Both Vilhelm and Jakob willingly postponed their education and personal research interests in order to support their respective father’s scientific investigations. Vilhelm During the 1980’s and 1880’s Carl Anton Bjerknes worked in relative isolation on hydrodynamic analogies. In 1882, Carl represented Norway at the Paris International Electric Exhibition where he gained international recognition on his electromagnetic theory and analogies which was successfully demonstrated by his son, Vilhelm. Vilhelm continued to assist his father until 1889, when at the age of 27 he “had to get away … to develop his own skills and career opportunities.”1 Vilhelm earned a Norwegian Doctorate in 1892 at the age of 30. He preferred electromagnetic wave studies above his father’s interest in hydrodynamic theory. Through Carl Anton’s influence, a position was created at the Stockholm H»gskola. -
Bacheloroppgave I Historie LHIS370 Karina Eieland
Kandidatnummer: 2304 Sidebaner som del av norsk jernbanestrategi Setesdalsbanen som eksempel Karine Narvestad Eieland Bacheloroppgave i historie, våren 2021 LHIS370 Universitetet i Stavanger Institutt for kultur- og språkvitenskap I Kandidatnummer: 2304 Innholdsfortegnelse 1.0 Innledning ............................................................................................................................. 1 1.1 Bakgrunn .......................................................................................................................... 2 2.0 Den norske jernbaneutbygginga på 1800-tallet .................................................................... 6 2.1 Stambane – sidebane: en begrepsavklaring ...................................................................... 6 2.2 Hovedbanen – den første jernbanen i landet .................................................................... 7 2.3 Jernbanepolitikken i 1860- og 70-åra ............................................................................... 8 2.3.1 "Det norske system" ................................................................................................... 9 2.4 Jernbanepolitikken i 1880- og 90-åra ............................................................................. 11 2.4.1 Veien mot et statlig jernbanesystem ........................................................................ 11 3.0 Setesdalsbanen ................................................................................................................... 13 3.1 Setesdal før jernbanen -
Moral Values Education
Moral Values Education: Characterizing Japan and Norway’s Primary School Curriculum Cara Jacoby Master Thesis Master of Philosophy in Comparative and International Education Institute for Educational Research Faculty of Education UNIVERSITETET I OSLO November, 2006 ii i Abstract The idea of moral values education as a formal subject in the curriculum has waxed and waned; however, considering the rapid rate in which societies are evolving, it is clear that moral values education is as important as ever. In order to insure that children and young adults are prepared to become active and educated participants and decision-makers in modern society, they must be guided responsibly by moral and democratic principles. This thesis is a comparative perspective of moral values education in the primary school curriculum of Japan and Norway, which considers both of these nation’s unique historical and cultural foundations, as well as the evolution of the philosophy of education in each society. The aim of the paper is to characterize moral values education in Japan and Norway and to determine what is distinctly Japanese and Norwegian in terms of moral values education in the primary school curriculum. The study is situated within the interpretivist paradigm and is mainly qualitative in nature. I have chosen a multi-method approach which includes reviews of historical events connected to the foundation of moral values education, and a comparative and evaluative design of the current national core curriculum as it outlines the goals of contemporary moral values education. As a starting point, my inquiry examines the historical development of the national education system and the philosophy of education in both Japan and Norway. -
Reposs #11: the Mathematics of Niels Henrik Abel: Continuation and New Approaches in Mathematics During the 1820S
RePoSS: Research Publications on Science Studies RePoSS #11: The Mathematics of Niels Henrik Abel: Continuation and New Approaches in Mathematics During the 1820s Henrik Kragh Sørensen October 2010 Centre for Science Studies, University of Aarhus, Denmark Research group: History and philosophy of science Please cite this work as: Henrik Kragh Sørensen (Oct. 2010). The Mathematics of Niels Henrik Abel: Continuation and New Approaches in Mathemat- ics During the 1820s. RePoSS: Research Publications on Science Studies 11. Aarhus: Centre for Science Studies, University of Aarhus. url: http://www.css.au.dk/reposs. Copyright c Henrik Kragh Sørensen, 2010 The Mathematics of NIELS HENRIK ABEL Continuation and New Approaches in Mathematics During the 1820s HENRIK KRAGH SØRENSEN For Mom and Dad who were always there for me when I abandoned all good manners, good friends, and common sense to pursue my dreams. The Mathematics of NIELS HENRIK ABEL Continuation and New Approaches in Mathematics During the 1820s HENRIK KRAGH SØRENSEN PhD dissertation March 2002 Electronic edition, October 2010 History of Science Department The Faculty of Science University of Aarhus, Denmark This dissertation was submitted to the Faculty of Science, University of Aarhus in March 2002 for the purpose of ob- taining the scientific PhD degree. It was defended in a public PhD defense on May 3, 2002. A second, only slightly revised edition was printed October, 2004. The PhD program was supervised by associate professor KIRSTI ANDERSEN, History of Science Department, Univer- sity of Aarhus. Professors UMBERTO BOTTAZZINI (University of Palermo, Italy), JEREMY J. GRAY (Open University, UK), and OLE KNUDSEN (History of Science Department, Aarhus) served on the committee for the defense. -
Biographical Memoirs V.68
http://www.nap.edu/catalog/4990.html We ship printed books within 1 business day; personal PDFs are available immediately. Biographical Memoirs V.68 Office of the Home Secretary, National Academy of Sciences ISBN: 0-309-56440-9, 400 pages, 6 x 9, (1995) This PDF is available from the National Academies Press at: http://www.nap.edu/catalog/4990.html Visit the National Academies Press online, the authoritative source for all books from the National Academy of Sciences, the National Academy of Engineering, the Institute of Medicine, and the National Research Council: • Download hundreds of free books in PDF • Read thousands of books online for free • Explore our innovative research tools – try the “Research Dashboard” now! • Sign up to be notified when new books are published • Purchase printed books and selected PDF files Thank you for downloading this PDF. If you have comments, questions or just want more information about the books published by the National Academies Press, you may contact our customer service department toll- free at 888-624-8373, visit us online, or send an email to [email protected]. This book plus thousands more are available at http://www.nap.edu. Copyright © National Academy of Sciences. All rights reserved. Unless otherwise indicated, all materials in this PDF File are copyrighted by the National Academy of Sciences. Distribution, posting, or copying is strictly prohibited without written permission of the National Academies Press. Request reprint permission for this book. Biographical Memoirs V.68 http://www.nap.edu/catalog/4990.html i Biographical Memoirs NATIONAL ACADEMY OF SCIENCES riginal paper book, not from the the authoritative version for attribution. -
Calculating the Weather Meteorology in the 20Th Century
Calculating the Weather This is Volume 60 in the INTERNATIONAL GEOPHYSICS SERIES A series of monographs and textbooks Edited by RENATA DMOWSKA and JAMES R. HOLTON A complete list of books in this series appears at the end of this volume. Calculating the Weather Meteorology in the 20th Century Frederik Nebeker IEEE CENTER FOR THE HISTORY OF ELECTRICAL ENGINEERING RUTGERS UNIVERSITY NEW BRUNSWICK, NEW JERSEY ACADEMIC PRESS San Diego New York Boston London Sydney Tokyo Toronto Front cover photograph: NOAA-8 visual imagery of Hurricane Gloria, September 25, 1985, at 12:39 GMT. The islands of Cuba, Hispaniola, and Puerto Rico are faintly visible near the bottom of the print. Courtesy of National Oceanic and Atmospheric Administration; National Environmental Satellite, Data, and Information Service; National Climatic Data Center; and Satellite Data Services Division. This book is printed on acid-free paper. (~) Copyright 9 1995 by ACADEMIC PRESS, INC. All Rights Reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Academic Press, Inc. A Division of Harcourt Brace & Company 525 B Street, Suite 1900, San Diego, California 92101-4495 United Kingdom Edition published by Academic Press Limited 24-28 Oval Road, London NW1 7DX Library of Congress Cataloging-in-Publication Data Nebeker, Frederik. Calculating the weather : meteorology in the 20th century / Frederik Nebeker. p. cm. -- (International geophysics series : v. 60) Includes bibliographical references and index. ISBN 0-12-515175-6 1. Meteorology--Methodology.