MATHEMATICAL MODELLING an Ihternational Journal Editors

Total Page:16

File Type:pdf, Size:1020Kb

MATHEMATICAL MODELLING an Ihternational Journal Editors View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector MATHEMATICAL MODELLING An Ihternational Journal Editors Xavier J.R. Avula Ervin Y. Rodin Department of Engineering Mechanics Department of Systems Science and University of Missouri-Rolla Mathematics Rolla, Missouri 65401, USA Box 1040, Washington University St. Louis, Missouri 63130, USA Editorial Board Publishing, Subscription and Advertising Offices: Rutherford Aris Simon A. Levin Pergamon Press, Inc., Fairview Park, University of Minnesota Cornell University Elmsford, NY 10523, USA; and Pergamon H.T. Banks William F. Lucas Press Ltd., Headington Hill Hall, Oxford Brown University Cornell University OX3 OBW, England. Richard Bellman N. Metropolis Published Bimonthly. (ISSN 0270-0255) University of Southern California Los Alamos Scientific Laboratory, Annualsubscription rate( 1982) $115.00; New Mexico Edward .I. Beltrami Two-year rate (1982/83) $218.50; State University of New York at E.W. Montroll Special individual rate for those whose Stony Brook University of Rochester, New York institution subscribes at the regular rate (1982) $45.00; Personal rate for Raymond Bisplinghoff J.C.J. Nihoul Tyco Laboratories, New Jersey University de Liege, Belgium members of AMS/MAA, SIAI\I1, IAMM, and SES (1982) $30.00. Prices Martin Braun Hans Oestreicher include surface postage and insurance; Queens College, New York Aerospace Medical Research air mail subscriptions extra. Laboratory, Ohio Roger W. Brockett Microform Subscriptions: Simultaneous Harvard University Edward C. Posner California Institute of Technology subscriptions on microfiche and micro- Colin W. Clark film are available from Pergamon Press University of British Columbia Ilya Prigogine and/or its division, Microforms Interna- Brussels, Belgium G.B. Dantzig tional Marketing Company, Fairview Stanford University C.R. Rao Park, Elmsford, New York 10523, USA; University of Pittsburgh and Headington Hill Hall, Oxford OX3 John U. Farley OBW, England. Columbia University Fred S. Roberts Rutgers University Copyright 0 1982 Pergamon Press Ltd. R. Glowinski Laboratorie de Recherche en Robert Rosen If is a condition of publicationthat manuscripts sub- Informatique et Automatique, Dalhousie University, Canada mitted to this journal have not been published and Le Chesnay, France will DOI be simultaneously submitted or published Gian-Carlo Rota elsewhere. By submltring a manuscript, the authors Massachusetts Institute of Technology H.S. Green agree that the copyright for their article is transfer- University of Adelaide, South Australia red to the publisher if and when the article is ac- Thomas L. Saaty ceoted for publication. The copyright covers rheex- Frank Harary University of Pittsburgh cl&&e rights to reproduce and distribute the arucie. University of Michigan mcluding reprints. photographic reproductions. Stephen Smale microform or any other reproducfmns of simdar J.N.R. Jeffers University of California nature and translarions. No part of this publication Institute of Terrestrial Ecology, may be reproduced. stored in a retrieval system or Jerome Spanier transmitted in any form or by any means. electromc. England Claremont Graduate School, California electrostatic, magn&c tape. mechanical. photo- Mark Kac copying, recordingorotherwise. without permission Lynn Arthur Steen in wnting from the copyright holder. Rockefeller University, New York St. Olaf College, Minnesota Rudolf E. Kalman U.S. Copyright Law applicable 10 users in the USA: Samuel C.C. Ting The Article Fee Code on the first page of an art~le in Swiss Federal Institute of Technology, Massachusetts Institute of Technology this journal indicates the copyrighrbwner’s consent Zurich and University of Florida that in the U.S.A. copies may be made for personal Stanislaw M. Ulam or internal use provided the stated fee for copymg Herbert Keller University of Colorado bevond rhar Dermitted bv Section 107W 108 of the California Institute of Technology United States Copyright Law is paid. The aQQrOQri- H. van Gierke ate remittance should be forwarded with a copy of Murray S. Klamkin Yell0 w Springs, Ohio the first page of the article to the Copyrtght Clear- University of Alberta, Canada ance Cenrei Inc.. 21 Congress Street, Salem, MA Lotfi Zadeh 01970. If a code does nor appear copies of the article M.D. Kruskal University of California, Berkeley may be madewithout charge. pro&led permnsion IS Princeton University obtained from the publisher. The copyright owner’s O.C. Zienkiewicz consent does not extend to copying for general distri- Roger E. Levien University of Wales bution, for promotion, for creating new works or International Instituie of Applied for resale. Specific wntten permission must be ob- System Analysis, Laxenburg, Austria Hans-Jurgen Zimmerman tamed from the publisher for such copymg. In case Rheinisch- Westfalische Technische of doubt please contacr your new% Pergamon Hochschule Aachen, FR Germany offtce. .
Recommended publications
  • Cities and Their Vital Systems: Infrastructure Past, Present, and Future
    Cities and Their Vital Systems: Infrastructure Past, Present, and Future i Series on Technology and Social Priorities NATIONAL ACADEMY OF ENGINEERING CitiesCitiesCities andandand TheirTheirTheir VitalVitalVital SystemsSystemsSystems Infrastructure Past, Present, and Future Jesse H. Ausubel and Robert Herman Editors NATIONAL ACADEMY PRESS Washington, D.C. 1988 Copyright National Academy of Sciences. All rights reserved. Cities and Their Vital Systems: Infrastructure Past, Present, and Future ii National Academy Press 2101 Constitution Avenue, NW Washington, DC 20418 NOTICE: The National Academy of Engineering was established in 1964, under the charter of the National Academy of Sciences, as a parallel organization of outstanding engineers. It is autonomous in its administration and in the selection of its members, sharing with the National Academy of Sci- ences the responsibility for advising the federal government. The National Academy of Engineering also sponsors engineering programs aimed at meeting national needs, encourages education and research, and recognizes the superior achievement of engineers. Dr. Robert M. White is president of the National Academy of Engineering. Funds for the National Academy of Engineering's Symposium Series on Technology and Social Priorities were provided by the Andrew W. Mellon Foundation, Carnegie Corporation of New York, and the Academy's Technology Agenda Program. This publication has been reviewed by a group other than the authors according to procedures approved by a Report Review Committee. The views expressed in this volume are those of the authors and are not presented as the views of the Mellon Foundation, Carnegie Corporation, or the National Academy of Engineering. Library of Congress Cataloging-in-Publication Data Cities and their vital systems.
    [Show full text]
  • Winter 2013 Newsletter
    Volume 10, No. 1 Newsletter The Courant Institute of Mathematical Sciences at New York University 2013 Winter 2 Jinyang Li: Building 5 How can the mysterious Distributed Systems that connection between Bridge Applications and nature and mathematics Hardware be explained? It can’t, says Henry McKean 3 New Faculty 6 Winter 2013 Puzzle How Fair is a Fair Coin? 4 In the accounting software 7 The Generosity of Friends field, Anne-Claire McAllister’s Courant degree has made all the difference In this Issue: Jinyang Li: Building Distributed Systems That Bridge Applications and Hardware by M.L. Ball the hardware. When new hardware is built, without good systems Piccolo: Distributed Computation software it’s very clumsy to use and won’t reach the majority of using Shared In-memory State application programmers. It’s a careful balance between making your system very usable and maintaining extremely high performance,” Node-1 said Jinyang. Get, Put, Update (commutative) Jinyang’s Project Piccolo: Faster, more robust, and getting lots of notice When approaching a new project, Jinyang prefers a bottom-up PageRank Accumulate=sum Distrubuted in-memory state approach. “I like to take a very concrete piece of application that A: 1.35 B: 5.44 I really care about – like machine learning or processing a lot of C: 2.01 … text – and then look at the existing hardware and say, ‘We have lots of machines and they’re connected by a fast network and each of them has a lot of memory and a lot of disks,’” she said. “‘How can I enable that application to utilize this array of hardware? What is the Node-2 Node-3 glue, what is the infrastructure that’s needed? To make the challenges concrete, let me start by building this infrastructure that specifically can process a large amount of text really quickly.
    [Show full text]
  • Matical Society Was Held at Columbia University on Friday and Saturday, April 25-26, 1947
    THE APRIL MEETING IN NEW YORK The four hundred twenty-fourth meeting of the American Mathe­ matical Society was held at Columbia University on Friday and Saturday, April 25-26, 1947. The attendance was over 300, includ­ ing the following 300 members of the Society: C. R. Adams, C. F. Adler, R. P. Agnew, E.J. Akutowicz, Leonidas Alaoglu, T. W. Anderson, C. B. Allendoerfer, R. G. Archibald, L. A. Aroian, M. C. Ayer, R. A. Bari, Joshua Barlaz, P. T. Bateman, G. E. Bates, M. F. Becker, E. G. Begle, Richard Bellman, Stefan Bergman, Arthur Bernstein, Felix Bernstein, Lipman Bers, D. H. Blackwell, Gertrude Blanch, J. H. Blau, R. P. Boas, H. W. Bode, G. L. Bolton, Samuel Borofsky, J. M. Boyer, A. D. Bradley, H. W. Brinkmann, Paul Brock, A. B. Brown, G. W. Brown, R. H. Brown, E. F. Buck, R. C. Buck, L. H. Bunyan, R. S. Burington, J. C. Burkill, Herbert Busemann, K. A. Bush, Hobart Bushey, J. H. Bushey, K. E. Butcher, Albert Cahn, S. S. Cairns, W. R. Callahan, H. H. Campaigne, K. Chandrasekharan, J. O. Chellevold, Herman Chernoff, Claude Chevalley, Ed­ mund Churchill, J. A. Clarkson, M. D. Clement, R. M. Cohn, I. S. Cohen, Nancy Cole, T. F. Cope, Richard Courant, M. J. Cox, F. G. Critchlow, H. B. Curry, J. H. Curtiss, M. D. Darkow, A. S. Day, S. P. Diliberto, J. L. Doob, C. H. Dowker, Y. N. Dowker, William H. Durf ee, Churchill Eisenhart, Benjamin Epstein, Ky Fan, J.M.Feld, William Feller, F. G. Fender, A. D.
    [Show full text]
  • Fundamental Theorems in Mathematics
    SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635].
    [Show full text]
  • 9<HTMERB=Ehijdf>
    News 6/2013 Mathematics C. Abbas, Michigan State University, East Lansing, K. Alladi, University of Florida, Gainesville, FL, T. Aven, University of Oslo, Norway; U. Jensen, MI, USA USA; P. Paule, Johannes Kepler University Linz, University of Hohenheim, Germany Austria; J. Sellers, A. J. Yee, The Pennsylvania State Introduction to Compactness University, University Park, PA, USA (Eds) Stochastic Models in Reliability Results in Symplectic Field Combinatory Analysis This book provides a comprehensive up-to-date Theory presentation of some of the classical areas of reli- Dedicated to George Andrews ability, based on a more advanced probabilistic framework using the modern theory of stochastic The book grew out of lectures given by the Contents author in 2005. Symplectic field theory is a processes. This framework allows analysts to for- Congruences modulo powers of 2 for a certain new important subject which is currently being mulate general failure models, establish formulae partition function (H.-C. Chan and S. Cooper).- developed. The starting point of this theory are for computing various performance measures, Cranks—really, the final problem (B.C. Berndt, compactness results for holomorphic curves as well as determine how to identify optimal H.H. Chan, S.H. Chan, and W.-C. Liaw).- Eisen- established in 2004. The book gives a systematic replacement policies in complex situations. In stein series and Ramanujan-type series for 1/π introduction providing a lot of background mate- this second edition of the book, two major topics (N.D. Baruah and B.C. Berndt).- Parity in parti- rial much of which is scattered throughout the have been added to the original version: copula tion identities (G.E.
    [Show full text]
  • A Classic in Mathematics COURANT-HILBERT VOLUME 2 Partial Differential Equations by R~ Courant
    AMERICAN MATHEMATICAL SOCIETY VOLUME 8, NUMBER 5 ISSUE NO. 56 OCTOBER 1961 THE AMERICAN MATHEMATICAL SOCIETY oticeiJ Edited by GORDON L. WALKER CONTENTS MEETINGS Calendar of Meetings . • . • • • • • . • • • . • • .. • • • . • • • . • . • . • • • . • . 3 92 Program of the Five Hundred Eighty-third Meeting in Cambridge, Massachusetts •.•.•.•. 393 Abstracts of the Meeting- pages 423-436 PRELIMINARY ANNOUNCEMENTS OF MEETINGS •••••••..••••..••.... 398 ACTIVITIES OF OTHER ASSOCIATIONS .•.•.••••..•....•••..•.... , • 402 FELLOWSHIP AND RESEARCH OPPORTUNITIES •.•••..•....•...••..•. 403 lHE ANNUAL SALARY SURVEY ••.•.••••.•••.•....•.•••.•.•.•.•.. 406 STARTING SALARIES FOR MATHEMATICIANS WITH A PH.D •••..•.••.•••. 409 NEWS ITEMS AND ANNOUNCEMENTS • . • • . • • • . • . • . • . • . • . • • • . 410 PERSONAL ITEMS .•....•.•••..•.•.........•.•••.•.••..•.••.. 412 MEMORANDA TO MEMBERS Australian Mathematical Society Summer Research Institute .•••..•.•.. 401 Proceedings Editorial Committee .••..•..•.•........•••.•.•.•. 420 Two Volumes of Mathematical Reviews in 1962 •.••••••••.••.•.•.•. 420 Berliner Mathematische Gesellschaft e. V. .•.•...•••.•••••.... 4ZO Dmtsche Mathematiker Vereinigung ••...•.•••••...•.•...•...•. 420 Union Matematica Argentina ......••.•••••.••..••..•.•. , • • . • . 420 SUPPLEMENTARY PROGRAM N0.6 .••••..•••••.•••.•...•.......•• 421 ABSTRACTS OF CONTRIBUTED PAPERS ..•.••..•.....•••.•.•...•.. 423 INDEX OF ADVERTISERS ••••....••.•••.•....••.....•••••••.•.• 459 MEETINGS CALENDAR OF MEETINGS Note: This Calendarlists all of the meetings which
    [Show full text]
  • Council Congratulates Exxon Education Foundation
    from.qxp 4/27/98 3:17 PM Page 1315 From the AMS ics. The Exxon Education Foundation funds programs in mathematics education, elementary and secondary school improvement, undergraduate general education, and un- dergraduate developmental education. —Timothy Goggins, AMS Development Officer AMS Task Force Receives Two Grants The AMS recently received two new grants in support of its Task Force on Excellence in Mathematical Scholarship. The Task Force is carrying out a program of focus groups, site visits, and information gathering aimed at developing (left to right) Edward Ahnert, president of the Exxon ways for mathematical sciences departments in doctoral Education Foundation, AMS President Cathleen institutions to work more effectively. With an initial grant Morawetz, and Robert Witte, senior program officer for of $50,000 from the Exxon Education Foundation, the Task Exxon. Force began its work by organizing a number of focus groups. The AMS has now received a second grant of Council Congratulates Exxon $50,000 from the Exxon Education Foundation, as well as a grant of $165,000 from the National Science Foundation. Education Foundation For further information about the work of the Task Force, see “Building Excellence in Doctoral Mathematics De- At the Summer Mathfest in Burlington in August, the AMS partments”, Notices, November/December 1995, pages Council passed a resolution congratulating the Exxon Ed- 1170–1171. ucation Foundation on its fortieth anniversary. AMS Pres- ident Cathleen Morawetz presented the resolution during —Timothy Goggins, AMS Development Officer the awards banquet to Edward Ahnert, president of the Exxon Education Foundation, and to Robert Witte, senior program officer with Exxon.
    [Show full text]
  • Memorial Tributes: Volume 12
    THE NATIONAL ACADEMIES PRESS This PDF is available at http://nap.edu/12473 SHARE Memorial Tributes: Volume 12 DETAILS 376 pages | 6.25 x 9.25 | HARDBACK ISBN 978-0-309-12639-7 | DOI 10.17226/12473 CONTRIBUTORS GET THIS BOOK National Academy of Engineering FIND RELATED TITLES Visit the National Academies Press at NAP.edu and login or register to get: – Access to free PDF downloads of thousands of scientific reports – 10% off the price of print titles – Email or social media notifications of new titles related to your interests – Special offers and discounts Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the National Academies Press. (Request Permission) Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 12 Memorial Tributes NATIONAL ACADEMY OF ENGINEERING Copyright National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 12 Copyright National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 12 NATIONAL ACADEMY OF ENGINEERING OF THE UNITED STATES OF AMERICA Memorial Tributes Volume 12 THE NATIONAL ACADEMIES PRESS Washington, D.C. 2008 Copyright National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 12 International Standard Book Number-13: 978-0-309-12639-7 International Standard Book Number-10: 0-309-12639-8 Additional copies of this publication are available from: The National Academies Press 500 Fifth Street, N.W. Lockbox 285 Washington, D.C. 20055 800–624–6242 or 202–334–3313 (in the Washington metropolitan area) http://www.nap.edu Copyright 2008 by the National Academy of Sciences.
    [Show full text]
  • Prize Is Awarded Every Three Years at the Joint Mathematics Meetings
    AMERICAN MATHEMATICAL SOCIETY LEVI L. CONANT PRIZE This prize was established in 2000 in honor of Levi L. Conant to recognize the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding fi ve years. Levi L. Conant (1857–1916) was a math- ematician who taught at Dakota School of Mines for three years and at Worcester Polytechnic Institute for twenty-fi ve years. His will included a bequest to the AMS effective upon his wife’s death, which occurred sixty years after his own demise. Citation Persi Diaconis The Levi L. Conant Prize for 2012 is awarded to Persi Diaconis for his article, “The Markov chain Monte Carlo revolution” (Bulletin Amer. Math. Soc. 46 (2009), no. 2, 179–205). This wonderful article is a lively and engaging overview of modern methods in probability and statistics, and their applications. It opens with a fascinating real- life example: a prison psychologist turns up at Stanford University with encoded messages written by prisoners, and Marc Coram uses the Metropolis algorithm to decrypt them. From there, the article gets even more compelling! After a highly accessible description of Markov chains from fi rst principles, Diaconis colorfully illustrates many of the applications and venues of these ideas. Along the way, he points to some very interesting mathematics and some fascinating open questions, especially about the running time in concrete situ- ations of the Metropolis algorithm, which is a specifi c Monte Carlo method for constructing Markov chains. The article also highlights the use of spectral methods to deduce estimates for the length of the chain needed to achieve mixing.
    [Show full text]
  • The West Math Collection
    Anaheim Meetings Oanuary 9 -13) - Page 15 Notices of the American Mathematical Society January 1985, Issue 239 Volume 32, Number 1, Pages 1-144 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to the press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and supplementary announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meeting. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society. Abstracts must be accompanied by the Sl5 processing charge. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence. Rhode Island. on or before the deadline given below for the meeting. Note that the deadline for abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcements and the list of organizers of special sessions.
    [Show full text]
  • Awards at the International Congress of Mathematicians at Seoul (Korea) 2014
    Awards at the International Congress of Mathematicians at Seoul (Korea) 2014 News release from the International Mathematical Union (IMU) The Fields medals of the ICM 2014 were awarded formidable technical power, the ingenuity and tenac- to Arthur Avila, Manjual Bhagava, Martin Hairer, and ity of a master problem-solver, and an unerring sense Maryam Mirzakhani; and the Nevanlinna Prize was for deep and significant questions. awarded to Subhash Khot. The prize winners of the Avila’s achievements are many and span a broad Gauss Prize, Chern Prize, and Leelavati Prize were range of topics; here we focus on only a few high- Stanley Osher, Phillip Griffiths and Adrián Paenza, re- lights. One of his early significant results closes a spectively. The following article about the awardees chapter on a long story that started in the 1970s. At is the news released by the International Mathe- that time, physicists, most notably Mitchell Feigen- matical Union (IMU). We are grateful to Prof. Ingrid baum, began trying to understand how chaos can Daubechies, the President of IMU, who granted us the arise out of very simple systems. Some of the systems permission of reprinting it.—the Editors they looked at were based on iterating a mathemati- cal rule such as 3x(1 − x). Starting with a given point, one can watch the trajectory of the point under re- The Work of Artur Avila peated applications of the rule; one can think of the rule as moving the starting point around over time. Artur Avila has made For some maps, the trajectories eventually settle into outstanding contribu- stable orbits, while for other maps the trajectories be- tions to dynamical come chaotic.
    [Show full text]
  • A LIFE of the IMMEASURABLE MIND MARK Kac, Enigmas Of
    Tlu! Annals of Probabtlity 1986, Vol. 14, No.4, 1139-1148 A LIFE OF THE IMMEASURABLE MIND MARK KAc, Enigmas of Chance, An Autobiography. Harper and Row, New York, 1985, xxvii + 163 pages, $18.95. REVIEW BY JOEL E. COHEN Rockefeller University Live with the pleasure of the immeasurable mind. Ralph Waldo Emerson, 1838 What worlds Mark Kac traversed! Born in August 1914, at the outbreak of World War I, he died in October 1984, somewhere between Mutual Assured Destruction and Star Wars. Born in Krzemieniec, Poland, a town that experi­ enced Czarist, Polish, German, and Soviet control within his lifetime, he died in Los Angeles, California, near lots formerly used to make Hollywood movies, in a county of orange groves. Born where no teaching positions were open to his father, as a Jew, despite his father's advanced degrees from the universities of Leipzig and Moscow, Kac died in the fullness of honors the United States of America awards to those, of any origin, who create well. Born when the mathematical nature of probability theory was a mystery and statistical inde­ pendence was an enigma within a mystery, he died during the spring flowering of probability theory and statistical physics. In his autobiography, which he did not live to see in print, Mark Kac (pronounced "cots") aims to give the reader "a glimpse into the making of a scientist as he is influenced by his family, his teachers and collaborators as well as by those intangibles which pertain to his development: the political conditions and social attitudes of his time and the cataclysmic events of history."(xxvii) [I give page numbers after quotations.] The book does not aim to be, and is not, a history of probability theory in the twentieth century.
    [Show full text]