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  2. Graduate Studies in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Studies_in...

    142 Higher Order Fourier Analysis, Terence Tao (2012, ISBN 978-0-8218-8986-2) 143 Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations, Alberto Bressan (2013, ISBN 978-0-8218-8771-4) 144 Dualities and Representations of Lie Superalgebras, Shun-Jen Cheng, Weiqiang Wang (2012, ISBN 978-0-8218-9118-6)

  3. Terence Tao - Wikipedia

    en.wikipedia.org/wiki/Terence_Tao

    Terence Chi-Shen Tao FAA FRS (Chinese: 陶哲軒; born 17 July 1975) is an Australian-American mathematician, Fields medalist, and professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins Chair in the College of Letters and Sciences.

  4. Parity problem (sieve theory) - Wikipedia

    en.wikipedia.org/wiki/Parity_problem_(sieve_theory)

    Terence Tao gave this "rough" statement of the problem: [1]. Parity problem.If A is a set whose elements are all products of an odd number of primes (or are all products of an even number of primes), then (without injecting additional ingredients), sieve theory is unable to provide non-trivial lower bounds on the size of A.

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is promising, the problem ...

  6. Smooth infinitesimal analysis - Wikipedia

    en.wikipedia.org/wiki/Smooth_infinitesimal_analysis

    Smooth infinitesimal analysis is a modern reformulation of the calculus in terms of infinitesimals.Based on the ideas of F. W. Lawvere and employing the methods of category theory, it views all functions as being continuous and incapable of being expressed in terms of discrete entities.

  7. Polymath Project - Wikipedia

    en.wikipedia.org/wiki/Polymath_Project

    The second thread, which was carried out in the comments of Terence Tao's blog, focused on calculating bounds on density of Hales–Jewett numbers and Moser numbers for low dimensions. After seven weeks, Gowers announced on his blog that the problem was "probably solved", [ 7 ] though work would continue on both Gowers's thread and Tao's thread ...

  8. Criticism of nonstandard analysis - Wikipedia

    en.wikipedia.org/wiki/Criticism_of_nonstandard...

    Also nonstandard analysis as developed is not the only candidate to fulfill the aims of a theory of infinitesimals (see Smooth infinitesimal analysis). Philip J. Davis wrote, in a book review of Left Back: A Century of Failed School Reforms [3] by Diane Ravitch: [4] There was the nonstandard analysis movement for teaching elementary calculus.

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