**Miscellaneous Books**

2019;
581 pp;
Softcover

MSC: Primary 00; 05; 11; 30; 54; 60;

**Print ISBN: 978-1-4704-3652-0
Product Code: MBK/121**

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

**Electronic ISBN: 978-1-4704-5330-5
Product Code: MBK/121.E**

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

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#### Supplemental Materials

# 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection

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*Stephan Ramon Garcia; Steven J. Miller*

This book is an outgrowth of a collection of
100 problems chosen to celebrate the 100th anniversary of the
undergraduate math honor society Pi Mu Epsilon. Each chapter describes
a problem or event, the progress made, and connections to entries from
other years or other parts of mathematics. In places, some knowledge
of analysis or algebra, number theory or probability will be helpful.
Put together, these problems will be appealing and accessible to
energetic and enthusiastic math majors and aficionados of all
stripes.

Stephan Ramon Garcia is WM Keck Distinguished Service Professor and
professor of mathematics at Pomona College. He is the author of four
books and over eighty research articles in operator theory, complex
analysis, matrix analysis, number theory, discrete geometry, and other
fields. He has coauthored dozens of articles with students, including
one that appeared in The Best Writing on Mathematics: 2015.
He is on the editorial boards of Notices of the AMS,
Proceedings of the AMS, American Mathematical
Monthly, Involve, and Annals of Functional
Analysis. He received four NSF research grants as principal
investigator and five teaching awards from three different
institutions. He is a fellow of the American Mathematical Society and
was the inaugural recipient of the Society's Dolciani Prize for
Excellence in Research.

Steven J. Miller is professor of mathematics at Williams College
and a visiting assistant professor at Carnegie Mellon University. He
has published five books and over one hundred research papers, most
with students, in accounting, computer science, economics, geophysics,
marketing, mathematics, operations research, physics, sabermetrics,
and statistics. He has served on numerous editorial boards, including
the Journal of Number Theory, Notices of the AMS,
and the Pi Mu Epsilon Journal. He is active in enrichment
and supplemental curricular initiatives for elementary and secondary
mathematics, from the Teachers as Scholars Program and VCTAL (Value of
Computational Thinking Across Grade Levels), to numerous math camps
(the Eureka Program, HCSSiM, the Mathematics League International
Summer Program, PROMYS, and the Ross Program). He is a fellow of the
American Mathematical Society, an at-large senator for Phi Beta Kappa,
and a member of the Mount Greylock Regional School Committee, where he
sees firsthand the challenges of applying mathematics.

#### Readership

For undergraduate and graduate students and faculty interested in the math honor society, Pi Mu Epsilon.

#### Table of Contents

# Table of Contents

## 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection

Table of Contents pages: 1 2 3

- 1952. NSA Founded 209224
- 1953. The Metropolis Algorithm 215230
- 1954. Kolmogorov–Arnold–Moser Theorem 221236
- 1955. Roth’s Theorem 227242
- 1956. The GAGA Principle 233248
- 1957. The Ross Program 235250
- 1958. Smale’s Paradox 241256
- 1959. 𝑄𝑅 Decomposition 247262
- 1960. The Unreasonable Effectiveness of Mathematics 251266
- 1961. Lorenz’s Nonperiodic Flow 257272
- 1962. The Gale–Shapley Algorithm and the Stable Marriage Problem 263278
- 1963. Continuum Hypothesis 269284
- 1964. Principles of Mathematical Analysis 275290
- 1965. Fast Fourier Transform 281296
- 1966. Class Number One Problem 287302
- 1967. The Langlands Program 293308
- 1968. Atiyah–Singer Index Theorem 299314
- 1969. Erdős Numbers 305320
- 1970. Hilbert’s Tenth Problem 311326
- 1971. Society for American Baseball Research 317332
- 1972. Zaremba’s Conjecture 323338
- 1973. Transcendence of 𝑒 Centennial 329344
- 1974. Rubik’s Cube 333348
- 1975. Szemerédi’s Theorem 339354
- 1976. Four Color Theorem 345360
- 1977. RSA Encryption 351366
- 1978. Mandelbrot Set 357372
- 1979. \TeX 363378
- 1980. Hilbert’s Third Problem 369384
- 1981. The Mason–Stothers Theorem 375390
- 1982. Two Envelopes Problem 381396
- 1983. Julia Robinson 385400
- 1984. 1984 391406
- 1985. The Jones Polynomial 395410
- 1986. Sudokus and Look and Say 401416
- 1987. Primes, the Zeta Function, Randomness, and Physics 407422
- 1988. Mathematica 413428
- 1989. PROMYS 421436
- 1990. The Monty Hall Problem 427442
- 1991. arXiv 433448
- 1992. Monstrous Moonshine 439454