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  2. MIT OpenCourseWare - Wikipedia

    en.wikipedia.org/wiki/MIT_OpenCourseWare

    In September 2002, the MIT OpenCourseWare proof-of-concept pilot site opened to the public, offering 32 courses. In September 2003, MIT OpenCourseWare published its 500th course, including some courses with complete streaming video lectures. By September 2004, 900 MIT courses were available online.

  3. Principles of Mathematical Analysis - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Mathematical...

    As a C. L. E. Moore instructor, Rudin taught the real analysis course at MIT in the 1951–1952 academic year. [2] [3] After he commented to W. T. Martin, who served as a consulting editor for McGraw Hill, that there were no textbooks covering the course material in a satisfactory manner, Martin suggested Rudin write one himself.

  4. Calculus of variations - Wikipedia

    en.wikipedia.org/wiki/Calculus_of_Variations

    However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist. Such solutions are known as geodesics. A related problem is posed by Fermat's principle: light follows the path of shortest optical length connecting two points, which depends upon the material of the medium.

  5. Walter Rudin - Wikipedia

    en.wikipedia.org/wiki/Walter_Rudin

    Walter Rudin (May 2, 1921 – May 20, 2010 [2]) was an Austrian-American mathematician and professor of mathematics at the University of Wisconsin–Madison. [3]In addition to his contributions to complex and harmonic analysis, Rudin was known for his mathematical analysis textbooks: Principles of Mathematical Analysis, [4] Real and Complex Analysis, [5] and Functional Analysis. [6]

  6. Functional analysis - Wikipedia

    en.wikipedia.org/wiki/Functional_analysis

    Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.

  7. Gilbert Strang - Wikipedia

    en.wikipedia.org/wiki/Gilbert_Strang

    He has made many contributions to mathematics education, including publishing mathematics textbooks. Strang was the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. [2] He taught Linear Algebra, Computational Science, and Engineering, Learning from Data, and his lectures are freely available through MIT ...

  8. Real analysis - Wikipedia

    en.wikipedia.org/wiki/Real_analysis

    A First Analysis Course by John O'Connor; Mathematical Analysis I by Elias Zakon; Mathematical Analysis II by Elias Zakon; Trench, William F. (2003). Introduction to Real Analysis (PDF). Prentice Hall. ISBN 978-0-13-045786-8. Earliest Known Uses of Some of the Words of Mathematics: Calculus & Analysis; Basic Analysis: Introduction to Real ...

  9. Arthur Mattuck - Wikipedia

    en.wikipedia.org/wiki/Arthur_Mattuck

    Arthur Paul Mattuck (June 11, 1930 [1] – October 8, 2021 [1] [2]) was an emeritus professor of mathematics at the Massachusetts Institute of Technology. [3] He may be best known for his 1998 book, Introduction to Analysis (ISBN 013-0-81-1327) and his differential equations video lectures featured on MIT's OpenCourseWare.

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