Muutke küpsiste eelistusi

100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection [Pehme köide]

  • Formaat: Paperback / softback, 581 pages, kõrgus x laius: 254x178 mm
  • Ilmumisaeg: 01-Jul-2019
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470436523
  • ISBN-13: 9781470436520
Teised raamatud teemal:
  • Formaat: Paperback / softback, 581 pages, kõrgus x laius: 254x178 mm
  • Ilmumisaeg: 01-Jul-2019
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470436523
  • ISBN-13: 9781470436520
Teised raamatud teemal:
Garcia (Pomona College) and Miller (Williams College) have assembled 100 problems recognizing major events in mathematics over the last 100 years with the first problem giving a nod to the birth of Paul Erdos in 1913 and the last problem acknowledging the opening of the National Museum of Mathematics in 2012. The problems were originally published in The Pi Mu Epsilon Journal in 2013 and 2014 as a celebration of the 100th anniversary of the math honor society, with some problems expanded a bit for the book. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)
Preface xi
Notation xiii
1913. Paul Erdos
1(6)
1914. Martin Gardner
7(4)
1915. General Relativity and the Absolute Differential Calculus
11(6)
1916. Ostrowski's Theorem
17(4)
1917. Morse Theory, but Really Cantor
21(6)
1918. Georg Cantor
27(6)
1919. Brun's Theorem
33(6)
1920. Waring's Problem
39(6)
1921. Mordell's Theorem
45(6)
1922. Lindeberg Condition
51(6)
1923. The Circle Method
57(4)
1924. The Banach-Tarski Paradox
61(6)
1925. The Schrodinger Equation
67(4)
1926. Ackermann's Function
71(4)
1927. William Lowell Putnam Mathematical Competition
75(4)
1928. Random Matrix Theory
79(6)
1929. Godel's Incompleteness Theorems
85(4)
1930. Ramsey Theory
89(6)
1931. The Ergodic Theorem
95(6)
1932. The 3x + 1 Problem
101(6)
1933. Skewes's Number
107(6)
1934. Khinchin's Constant
113(4)
1935. Hilbert's Seventh Problem
117(4)
1936. Alan Turing
121(6)
1937. Vinogradov's Theorem
127(4)
1938. Benford's Law
131(6)
1939. The Power of Positive Thinking
137(4)
1940. A Mathematician's Apology
141(4)
1941. The Foundation Trilogy
145(6)
1942. Zeros of ζ(s)
151(6)
1943. Breaking Enigma
157(6)
1944. Theory of Games and Economic Behavior
163(6)
1945. The Riemann Hypothesis in Function Fields
169(6)
1946. Monte Carlo Method
175(6)
1947. The Simplex Method
181(6)
1948. Elementary Proof of the Prime Number Theorem
187(6)
1949. Beurling's Theorem
193(6)
1950. Arrow's Impossibility Theorem
199(6)
1951. Tennenbaum's Proof of the Irrationality of σ2
205(4)
1952. NSA Founded
209(6)
1953. The Metropolis Algorithm
215(6)
1954. Kolmogorov-Arnold-Moser Theorem
221(6)
1955. Roth's Theorem
227(6)
1956. The GAGA Principle
233(2)
1957. The Ross Program
235(6)
1958. Smale's Paradox
241(6)
1959. QR Decomposition
247(4)
1960. The Unreasonable Effectiveness of Mathematics
251(6)
1961. Lorenz's Nonperiodic Flow
257(6)
1962. The Gale-Shapley Algorithm and the Stable Marriage Problem
263(6)
1963. Continuum Hypothesis
269(6)
1964. Principles of Mathematical Analysis
275(6)
1965. Fast Fourier Transform
281(6)
1966. Class Number One Problem
287(6)
1967. The Langlands Program
293(6)
1968. Atiyah-Singer Index Theorem
299(6)
1969. Erdos Numbers
305(6)
1970. Hilbert's Tenth Problem
311(6)
1971. Society for American Baseball Research
317(6)
1972. Zaremba's Conjecture
323(6)
1973. Transcendence of e Centennial
329(4)
1974. Rubik's Cube
333(6)
1975. Szemeredi's Theorem
339(6)
1976. Four Color Theorem
345(6)
1977. RSA Encryption
351(6)
1978. Mandelbrot Set
357(6)
1979. TEX
363(6)
1980. Hilbert's Third Problem
369(6)
1981. The Mason-Stothers Theorem
375(6)
1982. Two Envelopes Problem
381(4)
1983. Julia Robinson
385(6)
1984. 1984
391(4)
1985. The Jones Polynomial
395(6)
1986. Sudokus and Look and Say
401(6)
1987. Primes, the Zeta Function, Randomness, and Physics
407(6)
1988. Mathematica
413(8)
1989. PROMYS
421(6)
1990. The Monty Hall Problem
427(6)
1991. arXiv
433(6)
1992. Monstrous Moonshine
439(6)
1993. The 15-Theorem
445(6)
1994. AIM
451(6)
1995. Fermat's Last Theorem
457(6)
1996. Great Internet Mersenne Prime Search (GIMPS)
463(6)
1997. The Nobel Prize of Merton and Scholes
469(6)
1998. The Kepler Conjecture
475(6)
1999. Baire Category Theorem
481(6)
2000. R
487(6)
2001. Colin Hughes Founds Project Euler
493(6)
2002. PRIMES in P
499(6)
2003. Poincare Conjecture
505(6)
2004. Primes in Arithmetic Progression
511(8)
2005. William Stein Developed Sage
519(6)
2006. The Strong Perfect Graph Theorem
525(6)
2007. Flatland
531(6)
2008. 100th Anniversary of the t-Test
537(6)
2009. 100th Anniversary of Brouwer's Fixed-Point Theorem
543(6)
2010. Carmichael Numbers
549(6)
2011. 100th Anniversary of Egorov's Theorem
555(6)
2012. National Museum of Mathematics
561(4)
Index of People 565(6)
Index 571
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.