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Mathematics INSA, New Delhi CLASS NO
Mathematics INSA, New Delhi CLASS NO. WISE CHECK LIST Page : 1 ------------------------- Date : 5/06/2012 ------------------------------------------------------------------------- Accn No. T i t l e / A u t h o r Copies ------------------------------------------------------------------------- 18748 Physicalism in mathematics / Irvine, A.D. 340. 1 : Kluwer Academic, 1990 51.001.1 IRV 16606 Wittgenstein's philosophy of mathematics / Klenk, V.H. 1 : Martinus Nijhoff, 1976 51.001.1 KLE 18031 Mathematics in philosophy : Selected essay / Parsons, 1 Charles. : Cornell University Press, 1983 51.001.1 PAR HS 2259 Introduction to mathematical philosophy / Russell, Bertrand. : George Allen & Unwin, 1975 51.001.1 RUS 17664 Nature mathematized : Historical and philosophical 1 case studies in classical modern natural philosophy : Proceedings / Shea, William R. 340. : D. Reidel 51.001.1 SHE 18910 Mathematical intuition: phenomenology and mathematical 1 knowledge / Tieszen, Richard L. : Kluwer Academic Publishing, 1989 51.001.1 TIE 15502 Remarks on the foundations of mathematics 1 / Wittgenstein, Ludwig. : Basil Black Will, 1967 51.001.1 WIT 5607 Foundations of mathematics : Study in the philosophy 1 of science / Beth, Evert W. : North-Holland Publishing , 1959 51.001.3:16 BET 16621 Developing mathematics in third world countries : 1 Proceedings / Elton, M.E.A. 340. : North-Holland, 1979 51.001.6(061.3) ELT 15888 Optimal control theory / Berkovitz, L.D. : Springer- 1 Verlag, 1974 51:007 BER file:///C|/Documents%20and%20Settings/Abhishek%20Sinha/Desktop/Mathematics.txt[7/20/2012 5:09:31 PM] 29 Mathematics as a cultural clue : And other essays 1 / Keyser, Cassius Jackson. : Yeshiva University, 1947 51:008 KEY 9914 Foundations of mathematical logic / Curry, Haskell B. -
Book of Abstracts
IIT Gandhinagar, 16-17 March 2013 Workshop on Promoting History of Science in India ABSTRACTS Prof. Roddam Narasimha Barbarous Algebra, Inferred Axioms: Eastern Modes in the Rise of Western Science A proper assessment of classical Indic science demands greater understanding of the roots of the European scientific miracle that occurred between the late 16th and early 18th centuries. It is here proposed that, in the exact sciences, this European miracle can be traced to the advent of ‘barbarous’ (i.e. foreign) algebra, as Descartes called it, and to a new epistemology based on ‘inferred’ axioms as advocated by Francis Bacon and brilliantly implemented by Isaac Newton. Both of these developments can be seen as representing a calculated European departure from Hellenist philosophies, accompanied by a creative Europeanization of Indic modes of scientific thinking. Prof. Roddam Narasimha, an eminent scientist and the chairman of Engineering Mechanics Unit at the Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, has made contributions to the epistemology of Indian science. He was awarded Padma Vishushan this year. Email: [email protected] Prof. R.N. Iyengar Astronomy in Vedic Times: Indian Astronomy before the Common Era Astronomy popularly means knowledge about stars, planets, sun, moon, eclipses, comets and the recent news makers namely, asteroids and meteorites. Ancient people certainly knew something about all of the above though not in the same form or detail as we know now. The question remains what did they know and when. To a large extent for the Siddhāntic period (roughly starting with the Common Era CE) the above questions have been well investigated. -
NEWSLETTER Issue: 491 - November 2020
i “NLMS_491” — 2020/10/28 — 11:56 — page 1 — #1 i i i NEWSLETTER Issue: 491 - November 2020 COXETER THE ROYAL INSTITUTION FRIEZES AND PROBABILIST’S CHRISTMAS GEOMETRY URN LECTURER i i i i i “NLMS_491” — 2020/10/28 — 11:56 — page 2 — #2 i i i EDITOR-IN-CHIEF COPYRIGHT NOTICE Eleanor Lingham (Sheeld Hallam University) News items and notices in the Newsletter may [email protected] be freely used elsewhere unless otherwise stated, although attribution is requested when reproducing whole articles. Contributions to EDITORIAL BOARD the Newsletter are made under a non-exclusive June Barrow-Green (Open University) licence; please contact the author or David Chillingworth (University of Southampton) photographer for the rights to reproduce. Jessica Enright (University of Glasgow) The LMS cannot accept responsibility for the Jonathan Fraser (University of St Andrews) accuracy of information in the Newsletter. Views Jelena Grbic´ (University of Southampton) expressed do not necessarily represent the Cathy Hobbs (UWE) views or policy of the Editorial Team or London Christopher Hollings (Oxford) Mathematical Society. Stephen Huggett Adam Johansen (University of Warwick) ISSN: 2516-3841 (Print) Susan Oakes (London Mathematical Society) ISSN: 2516-385X (Online) Andrew Wade (Durham University) DOI: 10.1112/NLMS Mike Whittaker (University of Glasgow) Early Career Content Editor: Jelena Grbic´ NEWSLETTER WEBSITE News Editor: Susan Oakes Reviews Editor: Christopher Hollings The Newsletter is freely available electronically at lms.ac.uk/publications/lms-newsletter. CORRESPONDENTS AND STAFF MEMBERSHIP LMS/EMS Correspondent: David Chillingworth Joining the LMS is a straightforward process. For Policy Digest: John Johnston membership details see lms.ac.uk/membership. -
Women in Mathematics: an Historical Account of Women's Experiences and Achievement Kendra D
Claremont Colleges Scholarship @ Claremont CMC Senior Theses CMC Student Scholarship 2011 Women in Mathematics: An Historical Account of Women's Experiences and Achievement Kendra D. Huff Claremont McKenna College Recommended Citation Huff, Kendra D., "Women in Mathematics: An Historical Account of Women's Experiences and Achievement" (2011). CMC Senior Theses. Paper 150. http://scholarship.claremont.edu/cmc_theses/150 This Open Access Senior Thesis is brought to you by Scholarship@Claremont. It has been accepted for inclusion in this collection by an authorized administrator. For more information, please contact [email protected]. CLAREMONT McKENNA COLLEGE WOMEN IN MATHEMATICS: AN HISTORICAL ACCOUNT OF WOMEN’S EXPERIENCES AND ACHIEVEMENT SUBMITTED TO PROFESSOR ASUMAN GÜVEN AKSOY AND DEAN GREGORY HESS BY KENDRA DANIELLE HUFF FOR SENIOR THESIS SPRING/2011 APRIL 25, 2011 Women in Mathematics 2 Table of Contents Abstract……………………………………………………………………………………3 I. A History of Women in Mathematics…………………………………………………4 II. The Effects of Gender on Mathematics Achievement……………………………….13 III. Personal Experiences of Female Mathematicians in the Claremont Colleges……….23 IV. Changing Trends for Women in the Mathematics Field…………………………….38 References………………………………………………………………………………..50 Women in Mathematics 3 Abstract For a long time, women have struggled to gain complete acceptance in the mathematics field. The purpose of this paper is to explore the history of women in the field of mathematics, the impact and experiences of current female mathematicians, and the common trends for women in the mathematics field, through literature review and personal interviews. This paper looks at the lives of four famous female mathematicians, as well as female mathematicians in the Claremont Colleges who were interviewed for this paper. -
Faculty Document 2436 Madison 7 October 2013
University of Wisconsin Faculty Document 2436 Madison 7 October 2013 MEMORIAL RESOLUTION OF THE FACULTY OF THE UNIVERSITY OF WISCONSIN-MADISON ON THE DEATH OF PROFESSOR EMERITA MARY ELLEN RUDIN Mary Ellen Rudin, Hilldale professor emerita of mathematics, died peacefully at home in Madison on March 18, 2013. Mary Ellen was born in Hillsboro, Texas, on December 7, 1924. She spent most of her pre-college years in Leakey, another small Texas town. In 1941, she went off to college at the University of Texas in Austin, and she met the noted topologist R.L. Moore on her first day on campus, since he was assisting in advising incoming students. He recognized her talent immediately and steered her into the math program, which she successfully completed in 1944, and she then went directly into graduate school at Austin, receiving her PhD under Moore’s supervision in 1949. After teaching at Duke University and the University of Rochester, she joined the faculty of the University of Wisconsin-Madison as a lecturer in 1959 when her husband Walter came here. Walter Rudin died on May 20, 2010. Mary Ellen became a full professor in 1971 and professor emerita in 1991. She also held two named chairs: she was appointed Grace Chisholm Young Professor in 1981 and Hilldale Professor in 1988. She received numerous honors throughout her career. She was a fellow of the American Academy of Arts and Sciences and was a member of the Hungarian Academy of Sciences, and she received honorary doctor of science degrees from the University of North Carolina, the University of the South, Kenyon College, and Cedar Crest College. -
President's Report
Newsletter VOLUME 44, NO. 3 • MAY–JUNE 2014 PRESIDENT’S REPORT It is with great pleasure that I address this report to the whole mathematical community! As of March 2014, all current and previously embargoed AWM Newsletters are available to members and non-members alike through the AWM The purpose of the Association website. The academic world is embroiled in an ongoing debate on “open access” for Women in Mathematics is for journals, books, etc. A version of this debate unfolded at the January Executive • to encourage women and girls to Committee meeting over open access for the AWM Newsletter, weighing the study and to have active careers advantages of getting our message out to the broader community against the desire in the mathematical sciences, and to offer unique benefits to our members. We believe that most of you who are • to promote equal opportunity and the equal treatment of women and currently members have joined AWM because you believe in our mission and will girls in the mathematical sciences. not begrudge our efforts to spread our message to a broader audience. We firmly hope that those of you who are not members, but find ourNewsletters informa- tive and thought-provoking, will join AWM to help us support the growing community of women in mathematics. One of the current initiatives at AWM is to broaden the reach of the Asso- ciation beyond academics to include more people working in government and industry. Please help us reach out to this audience by telling your friends in govern- ment or industry about AWM. -
Arxiv:2104.09150V1 [Math.LO] 19 Apr 2021 Dokwer
A GUESSING PRINCIPLE FROM A SOUSLIN TREE, WITH APPLICATIONS TO TOPOLOGY ASSAF RINOT AND ROY SHALEV This paper is dedicated to the memory of Kenneth Kunen (1943–2020) Abstract. We introduce a new combinatoiral principle which we call ♣AD. This principle asserts the existence of a certain multi-ladder system with guess- ing and almost-disjointness features, and is shown to be sufficient for carrying out de Caux type constructions of topological spaces. Our main result states that strong instances of ♣AD follow from the exis- tence of a Souslin tree. It is also shown that the weakest instance of ♣AD does not follow from the existence of an almost Souslin tree. As an application, we obtain a simple, de Caux type proof of Rudin’s result that if there is a Souslin tree, then there is an S-space which is Dowker. 1. Introduction All topological spaces under consideration are assumed to be T1 and Hausdorff. A Dowker space is a normal topological space whose product with the unit interval is not normal. Dowker [Dow51] raised the question of their very existence, and gave a useful characterization of these spaces. The first consistent example of such a space was given by Rudin [Rud55], who constructed a Dowker space of size ℵ1, assuming the existence of a Souslin tree. Later on, in [Rud72], Rudin ℵ constructed another Dowker space, this time in ZFC, and of cardinality (ℵω) 0 . Two decades later, Balogh [Bal96] gave a ZFC construction of a Dowker space of size 2ℵ0 , and Kojman and Shelah [KS98] gave a ZFC construction of a Dowker space of size ℵω+1. -
Aryabhatiya with English Commentary
ARYABHATIYA OF ARYABHATA Critically edited with Introduction, English Translation. Notes, Comments and Indexes By KRIPA SHANKAR SHUKLA Deptt. of Mathematics and Astronomy University of Lucknow in collaboration with K. V. SARMA Studies V. V. B. Institute of Sanskrit and Indological Panjab University INDIAN NATIONAL SCIENCE ACADEMY NEW DELHI 1 Published for THE NATIONAL COMMISSION FOR THE COMPILATION OF HISTORY OF SCIENCES IN INDIA by The Indian National Science Academy Bahadur Shah Zafar Marg, New Delhi— © Indian National Science Academy 1976 Rs. 21.50 (in India) $ 7.00 ; £ 2.75 (outside India) EDITORIAL COMMITTEE Chairman : F. C. Auluck Secretary : B. V. Subbarayappa Member : R. S. Sharma Editors : K. S. Shukla and K. V. Sarma Printed in India At the Vishveshvaranand Vedic Research Institute Press Sadhu Ashram, Hosbiarpur (Pb.) CONTENTS Page FOREWORD iii INTRODUCTION xvii 1. Aryabhata— The author xvii 2. His place xvii 1. Kusumapura xvii 2. Asmaka xix 3. His time xix 4. His pupils xxii 5. Aryabhata's works xxiii 6. The Aryabhatiya xxiii 1. Its contents xxiii 2. A collection of two compositions xxv 3. A work of the Brahma school xxvi 4. Its notable features xxvii 1. The alphabetical system of numeral notation xxvii 2. Circumference-diameter ratio, viz., tz xxviii table of sine-differences xxviii . 3. The 4. Formula for sin 0, when 6>rc/2 xxviii 5. Solution of indeterminate equations xxviii 6. Theory of the Earth's rotation xxix 7. The astronomical parameters xxix 8. Time and divisions of time xxix 9. Theory of planetary motion xxxi - 10. Innovations in planetary computation xxxiii 11. -
Logo Competition HISTORY and PEDAGOGY of MATHEMATICS
International Study Group on the Relations Between HISTORY and PEDAGOGY of MATHEMATICS NEWSLETTER An Affiliate of the International Commission on Mathematical Instruction No. 49 March 2002 HPM Advisory Board: Fulvia Furinghetti, Chairperson Dipartimento di Matematica (Università di Genova), via Dodecaneso 35, 16146 Genova, Italy Peter Ransom, Editor ([email protected]), The Mountbatten School and Language College, Romsey, SO51 5SY, UK Jan van Maanen, The Netherlands, (former chair); Florence Fasanelli, USA, (former chair); Ubiratan D’Ambrosio, Brazil, (former chair) occasions for meetings to replace the European Message from our Chairperson Summer University that was not possible to organise. The proceedings of all these conferences will offer a document on how To the members of HPM, research in our field is proceeding. I hope that our Newsletter is reaching all the people involved and/or interested in the subject of • The Newsletter is not enough to make strong HPM and also that it answers your expectations. and fruitful contacts among researchers. We are We have now new regional contacts: thanks to all working to have our own site. I heartily thank of them. Karen Dee Michalowicz who managed to host us in the HPM America web site, which is now I’m looking back to the first issue and I’m again alive. checking which of the promises I wrote in my address have been kept. Things have changed a • I would like to have a logo for our Group; thus bit because I miss the wise presence of John and I I launch among the readers a logo competition. now have new responsibilities in my academic It has to be simple enough for the computer to work, nevertheless I would like to look at the cope. -
President's Report
Newsletter Volume 45, No. 3 • mAY–JuNe 2015 PRESIDENT’S REPORT I remember very clearly the day I met Cora Sadosky at an AWM event shortly after I got my PhD, and, knowing very little about me, she said unabashedly that she didn’t see any reason that I should not be a professor at Harvard someday. I remember being shocked by this idea, and pleased that anyone would express The purpose of the Association such confidence in my potential, and impressed at the audacity of her ideas and for Women in Mathematics is confidence of her convictions. Now I know how she felt: when I see the incredibly talented and passionate • to encourage women and girls to study and to have active careers young female researchers in my field of mathematics, I think to myself that there in the mathematical sciences, and is no reason on this earth that some of them should not be professors at Harvard. • to promote equal opportunity and But we are not there yet … and there still remain many barriers to the advancement the equal treatment of women and and equal treatment of women in our profession and much work to be done. girls in the mathematical sciences. Prizes and Lectures. AWM can be very proud that today we have one of our Research Prizes named for Cora and her vision is being realized. The AWM Research Prizes and Lectures serve to highlight and celebrate significant contribu- tions by women to mathematics. The 2015 Sonia Kovalevsky Lecturer will be Linda J. S. Allen, the Paul Whitfield Horn Professor at Texas Tech University. -
MARY ELLEN's CONJECTURES Introduction For
MARY ELLEN'S CONJECTURES GARY GRUENHAGE AND PETER NYIKOS Introduction For a special issue like this, it would seem to be very appropriate for us, the editors, to write an article summarizing Mary Ellen's contributions to the field, and giving some account of her mathematical career. But there is an excellent article by Frank Tall [65] in the book The Work of Mary Ellen Rudin that does exactly this, covering her work and giving a sketch of her mathematical life up until shortly after her retirement in 1991. The article also includes a list of her students and their theses titles, her postdocs, and her publications. While she published a couple of papers on other topics after that time, she spent most of her post-retirement working on Nikiel's conjecture, that the images of compact ordered spaces are exactly the compact monotonically normal spaces. She eventually solved it (positively) in 2001 [63]; it took one of the deepest and most difficult arguments of her career to do so. Instead of copying Frank's article, we would like to do something a bit different. In the book Open Problems in Topology, published in 1990, Mary Ellen has an article [62] in which she states 17 \conjectures".1 This is the way she chose to phrase some unsolved problems, most of them due originally to others, that she was particularly interested in. We quote from her article to give a sense of her reasons for choosing these particular problems: \The problems I list here have mostly been listed in Rudin [1988]; I have worked on all of them long enough to have some real respect for them; they have all stood the test of time and labor by various people; and I feel any solution to any of them would have applications at least to other problems exhibiting similar pathologies." Here we go over Mary Ellen's list of conjectures, giving a brief summary of her contributions and where each conjecture stands today. -
[Math.GN] 25 Dec 2003
Problems from Topology Proceedings Edited by Elliott Pearl arXiv:math/0312456v1 [math.GN] 25 Dec 2003 Topology Atlas, Toronto, 2003 Topology Atlas Toronto, Ontario, Canada http://at.yorku.ca/topology/ [email protected] Cataloguing in Publication Data Problems from topology proceedings / edited by Elliott Pearl. vi, 216 p. Includes bibliographical references. ISBN 0-9730867-1-8 1. Topology—Problems, exercises, etc. I. Pearl, Elliott. II. Title. Dewey 514 20 LC QA611 MSC (2000) 54-06 Copyright c 2003 Topology Atlas. All rights reserved. Users of this publication are permitted to make fair use of the material in teaching, research and reviewing. No part of this publication may be distributed for commercial purposes without the prior permission of the publisher. ISBN 0-9730867-1-8 Produced November 2003. Preliminary versions of this publication were distributed on the Topology Atlas website. This publication is available in several electronic formats on the Topology Atlas website. Produced in Canada Contents Preface ............................................ ............................v Contributed Problems in Topology Proceedings .................................1 Edited by Peter J. Nyikos and Elliott Pearl. Classic Problems ....................................... ......................69 By Peter J. Nyikos. New Classic Problems .................................... ....................91 Contributions by Z.T. Balogh, S.W. Davis, A. Dow, G. Gruenhage, P.J. Nyikos, M.E. Rudin, F.D. Tall, S. Watson. Problems from M.E. Rudin’s Lecture notes in set-theoretic topology ..........103 By Elliott Pearl. Problems from A.V. Arhangel′ski˘ı’s Structure and classification of topological spaces and cardinal invariants ................................................... ...123 By A.V. Arhangel′ski˘ıand Elliott Pearl. A note on P. Nyikos’s A survey of two problems in topology ..................135 By Elliott Pearl.