100 Years of Math Milestones
The Pi Mu Epsilon Centennial Collection
Published on 1. July 2019
Book
Paperback/Softback
581 pages
978-1-4704-3652-0 (ISBN)
Description
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.
More details
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-3652-0 (9781470436520)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
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.
Content
1913. Paul Erdos
1914. Martin Gardner
1915. General relativity and the absolute differential calculus
1916. Ostrowski's theorem
1917. Morse theory, but really Cantor
1918. Georg Cantor
1919. Brun's theorem
1920. Waring's problem
1921. Mordell's theorem
1922. Lindeberg condition
1923. The circle method
1924. The Banach-Tarski paradox
1925. The Schrodinger equation
1926. Ackermann's function
1927. William Lowell Putnam Mathematical Competition
1928. Random matrix theory
1929. Godel's incompleteness theorems
1930. Ramsey theory
1931. The ergodic theorem
1932. The $3x 1$ problem
1933. Skewes's number
1934. Khinchin's constant
1935. Hilbert's seventh problem
1936. Alan Turing
1937. Vinogradov's theorem
1938. Benford's law
1939. The power of positive thinking
1940. A mathematician's apology
1941. The Foundation triology
1942. Zeros of $\zeta(s)$
1943. Breaking Enigma
1944. Theory of games and economic behavior
1945. The Riemann hypothesis in function fields
1946. Monte Carlo method
1947. The simplex method
1948. Elementary proof of the prime number theorem
1949. Beurling's theorem
1950. Arrow's impossibility theorem
1951. Tennenbaum's proof of the irrationality of $\sqrt{2}$
1952. NSA founded
1953. The Metropolis algorithm
1954. Kolmogorov-Arnold-Moser theorem
1955. Roth's theorem
1956. The GAGA principle
1957. The Ross program
1958. Smale's paradox
1959. $QR$ decomposition
1960. The unreasonable effectiveness of mathematics
1961. Lorenz's nonperiodic flow
1962. The Gale-Shapely algorithm and the stable marriage problem
1963. Continuum hypothesis
1964. Principles of mathematical analayis
1965. Fast Fourier transform
1966. Class number one problem
1967. The Langlands program
1968. Atiyah-Singer index theorem
1969. Erdos numbers
1970. Hilbert's tenth problem
1971. Society for American Baseball Research
1972. Zaremba's conjecture
1973. Transcendence of $e$ centennial
1974. Rubik's Cube
1975. Szemeredi's theorem
1976. Four color theorem
1977. RSA encryption
1978. Mandlebrot set
1979. TeX
1980. Hilbert's third problem
1981. The Mason-Stothers theorem
1982. Two envelopes problem
1983. Julia Robinson
1984. 1984
1985. The Jones polynomial
1986. Sudokus and Look and Say
1987. Primes, the zeta function, randomness, and physics
1988. Mathematica
1989. PROMYS
1990. The Monty Hall problem
1991. arXiv
1992. Monstrous moonshine
1993. The 15-theorem
1994. AIM
1995. Fermat's last theorem
1996. Great Internet Mersenne Prime Search (GIMPS)
1997. The Nobel Prize of Merton and Scholes
1998. The Kepler conjecture
1999. Baire category theorem
2000. R
2001. Colin Hughes founds Project Euler
2002. PRIMES in P
2003. Poincare conjecture
2004. Primes in arithmetic progression
2005. William Stein developed Sage
2006. The strong perfect graph theorem
2007. Flatland
2008. 100th anniversary of the $t$-test
2009. 100th anniversary of Brouwer's fixed-point theorem
2010. Carmichael numbers
2011. 100th anniversary of Egorov's theorem
2012. National Museum of Mathematics
Index of people
Index
1914. Martin Gardner
1915. General relativity and the absolute differential calculus
1916. Ostrowski's theorem
1917. Morse theory, but really Cantor
1918. Georg Cantor
1919. Brun's theorem
1920. Waring's problem
1921. Mordell's theorem
1922. Lindeberg condition
1923. The circle method
1924. The Banach-Tarski paradox
1925. The Schrodinger equation
1926. Ackermann's function
1927. William Lowell Putnam Mathematical Competition
1928. Random matrix theory
1929. Godel's incompleteness theorems
1930. Ramsey theory
1931. The ergodic theorem
1932. The $3x 1$ problem
1933. Skewes's number
1934. Khinchin's constant
1935. Hilbert's seventh problem
1936. Alan Turing
1937. Vinogradov's theorem
1938. Benford's law
1939. The power of positive thinking
1940. A mathematician's apology
1941. The Foundation triology
1942. Zeros of $\zeta(s)$
1943. Breaking Enigma
1944. Theory of games and economic behavior
1945. The Riemann hypothesis in function fields
1946. Monte Carlo method
1947. The simplex method
1948. Elementary proof of the prime number theorem
1949. Beurling's theorem
1950. Arrow's impossibility theorem
1951. Tennenbaum's proof of the irrationality of $\sqrt{2}$
1952. NSA founded
1953. The Metropolis algorithm
1954. Kolmogorov-Arnold-Moser theorem
1955. Roth's theorem
1956. The GAGA principle
1957. The Ross program
1958. Smale's paradox
1959. $QR$ decomposition
1960. The unreasonable effectiveness of mathematics
1961. Lorenz's nonperiodic flow
1962. The Gale-Shapely algorithm and the stable marriage problem
1963. Continuum hypothesis
1964. Principles of mathematical analayis
1965. Fast Fourier transform
1966. Class number one problem
1967. The Langlands program
1968. Atiyah-Singer index theorem
1969. Erdos numbers
1970. Hilbert's tenth problem
1971. Society for American Baseball Research
1972. Zaremba's conjecture
1973. Transcendence of $e$ centennial
1974. Rubik's Cube
1975. Szemeredi's theorem
1976. Four color theorem
1977. RSA encryption
1978. Mandlebrot set
1979. TeX
1980. Hilbert's third problem
1981. The Mason-Stothers theorem
1982. Two envelopes problem
1983. Julia Robinson
1984. 1984
1985. The Jones polynomial
1986. Sudokus and Look and Say
1987. Primes, the zeta function, randomness, and physics
1988. Mathematica
1989. PROMYS
1990. The Monty Hall problem
1991. arXiv
1992. Monstrous moonshine
1993. The 15-theorem
1994. AIM
1995. Fermat's last theorem
1996. Great Internet Mersenne Prime Search (GIMPS)
1997. The Nobel Prize of Merton and Scholes
1998. The Kepler conjecture
1999. Baire category theorem
2000. R
2001. Colin Hughes founds Project Euler
2002. PRIMES in P
2003. Poincare conjecture
2004. Primes in arithmetic progression
2005. William Stein developed Sage
2006. The strong perfect graph theorem
2007. Flatland
2008. 100th anniversary of the $t$-test
2009. 100th anniversary of Brouwer's fixed-point theorem
2010. Carmichael numbers
2011. 100th anniversary of Egorov's theorem
2012. National Museum of Mathematics
Index of people
Index