When Computers Were Human

When Computers Were Human

When Computers Were Human

David Alan Grier

PRINCETON UNIVERSITY PRESS
PRINCETON AND OXFORD

Copyright © 2005 by Princeton University Press

Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540

In the United Kingdom: Princeton University Press, 3 Market Place, Woodstock, Oxfordshire OX20 1SY

All Rights Reserved

Third printing, and first paperback printing, 2007

Paperback ISBN: 978-0-691-13382-9

T
HE
L
IBRARY OF
C
ONGRESS HAS CATALOGED THE CLOTH EDITION OF THIS BOOK AS FOLLOWS

Grier, David Alan, 1955 Feb. 14–

When computers were human / David Alan Grier.

p.
cm.

Includes bibliographical references.

ISBN 0-691-09157-9 (acid-free paper)

1. Calculus—History.
2. Science—Mathematics—History.
I. Title.

QA303.2.G75
2005

510′.92′2—dc22
2004022631

British Library Cataloging-in-Publication Data is available

This book has been composed in Sabon

Printed on acid-free paper. ∞

press.princeton.edu

Printed in the United States of America

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FOR JEAN

Who took my people to be her people and my stories to be her own without realizing that she would have to accept a comet, the WPA, and the oft-told tale of a forgotten grandmother

Contents

When Computers Were Human

INTRODUCTION

A Grandmother's Secret Life

I
T BEGAN
with a passing remark, a little comment, a few words not understood, a confession of a secret life. On a cold winter evening, now many years ago, I was sharing a dinner with my grandmother. I was home from graduate school, full of myself and confident of the future. We sat at a small table in her kitchen, eating foods that had been childhood favorites and talking about cousins and sisters and aunts and uncles. There was much to report: marriages and great-grandchildren, new homes and jobs. As we cleared the dishes, she became quiet for a moment, as if she were lost in thought, and then turned to me and said, “You know, I took calculus in college.”

I'm certain that I responded to her, but I could not have said anything beyond “Oh really” or “How interesting” or some other empty phrase that allowed the conversation to drift toward another subject and lose the opportunity of the moment. In hindsight, her statement was every bit as strange and provocative as if she had said that she'd fought with the Loyalists in the Spanish Civil War or had spent her youth dealing baccarat at Monte Carlo. Yet, at that instant, I could not recognize that she had told me something unusual. I studied with many women who had taken calculus and believed they would have careers in the mathematical sciences like my intended career. I did not stop to consider that only a few women of my grandmother's generation had even attended college and that fewer still had ever heard of calculus.

My grandmother's comment was temporarily ignored, but it was not lost. It came rushing back into my thoughts, some six or seven years later, as I was sitting in a mathematics seminar. Such events are often conducive to reflection, and this occasion promised plenty of opportunity to think about other subjects. The speaker, a wild-haired, ill-clad academic, was discussing a new mathematical theory with allegedly important applications that were far more abstract than the theory itself. As I was helping
myself to tea and cookies, a staple of mathematical talks, I caught a remark from a senior professor. I had always admired this individual, for he had the ability to sleep during the boring parts of seminars and still catch enough of the material to ask deep and penetrating questions during the discussion period. This professor, who had recently retired, was describing his early days at the university during the Great Depression of the 1930s. Having just arrived in the United States from his native Poland and knowing only rudimentary English, he was assigned to teach the engineering calculus course. “This,” he stated with a flourish, “was the first time that calculus was required of engineering students at the university.”

As I listened to his story, I heard my grandmother's phrase from that night long before. “You know, I took calculus in college.” I did not know when she had attended college, but having heard my mother's stories of the Depression, I was certain it would have been before 1930. As I settled into my chair, I started to ponder what my grandmother had said. For the next hour, I was lost in my own thoughts and oblivious to the talk, which proved to be the best seminar of the term. During the discussion period, I was asking myself the questions I should have raised at that dinner years before: Where had my grandmother attended college? What courses had she taken? What had she hoped to learn from calculus?

By then, it was too late to ask these questions. My grandmother was gone, and no one knew much about her early life. My mother believed that my grandmother had studied to be an accountant or an actuary. My uncle thought that my grandmother had taken some bookkeeping classes. Our family genealogist, a distant cousin who seemed to know everything about our relations, expressed her opinion that my grandmother's family had been too poor to send her to college. Still bothered by that one phrase, I decided to see what I could learn. My grandmother had been raised in Ann Arbor, the home of the University of Michigan. So one day, I called the college registrar and asked if she had a transcript for my grandmother. I tried to use a tone of voice to suggest that it was the most natural thing in the world for a grandson to review his grandmother's college grades, rather than the other way around. With surprisingly little hesitation, the registrar agreed to my request and left the phone. In a few minutes, she returned and said, “I have her records here.”

Catching my breath, I asked, “When did she graduate?”

“Nineteen twenty-one,” the registrar responded.

“What was her major?” was my next question.

After a moment of shuffling paper, she replied, “Mathematics.” Three weeks later, I was sitting at a long library table with a little gray box that contained the university's record of my grandmother's life. As I worked through her transcript and the course record books, I was surprised but pleased to see that she had taken a rigorous program of study.
In all, she had taken about two-thirds of the mathematics courses that I had taken as an undergraduate, and she had studied with several well-known mathematicians of the 1920s. The professors' record books were particularly intriguing, for they contained little notes that hinted at the activity and turmoil outside the classroom. One mentioned the male students who had left for the First World War; another recorded that he had devoted part of the term to analyzing ballistics problems; a third mentioned that two students had died in the influenza epidemic.
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1. Calculus class, University of Michigan, 1921. Author's grandmother is rightmost woman

Perhaps the most surprising revelation was the fact that my grandmother was not the only female mathematics student. Of the twelve students who had taken a mathematics degree in 1921, six of them, including my grandmother, were women. The University of Michigan was more progressive than the Ivy League schools, but its liberalism had limits. About a quarter of the university student body was female, but the school provided no dormitory for women and barred them from the student union building, as it was attached to a men's residence hall. University officials also discouraged women from studying medicine, business, engineering, physics, biology, and chemistry. For women with scientific interests, the mathematics department was about the only division of the school that welcomed them. Much of this welcome was provided by a
single professor, James W. Glover (1868–1941), who served as the advisor to my grandmother and most of her female peers.
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