Formal Sciences

Sections (3)

• Mathematics

  7 topics

  • Algebra
  • Analysis
  • Geometry and Topology
  • Number Theory
  • Combinatorics
  • Probability
  • Applied Mathematics

• Statistics

  5 topics

  • Statistical Theory
  • Methodology
  • Machine Learning
  • Computation
  • Applications

• Logic

  Article, resources, wiki and discussion.

Curated Resources (22)

Tools (4)

• R Project for Statistical Computing r-project.orgfree

  Free software environment and programming language for statistical computing, data analysis, and graphical representation.

• SageMath sagemath.orgfree

  Open-source mathematics software system integrating existing open-source packages like NumPy, SciPy, Maxima, and SymPy.

• Julia Programming Language julialang.orgfree

  High-level, high-performance dynamic programming language designed specifically for numerical analysis and computational science.

• GeoGebra geogebra.orgfree

  Interactive mathematics software suite for learning and teaching geometry, algebra, spreadsheets, graphing, and calculus.

Databases (4)

• On-Line Encyclopedia of Integer Sequences (OEIS) oeis.orgfree

  Extensive curated database of integer sequences recording formulas, generating functions, and citations.

• L-functions and Modular Forms Database (LMFDB) lmfdb.orgfree

  Comprehensive database of mathematical objects related to L-functions, modular forms, elliptic curves, and number fields.

• CRAN (Comprehensive R Archive Network) cran.r-project.orgfree

  Central repository of open-source packages, binaries, and documentation for the R statistical programming environment.

• Great Internet Mersenne Prime Search (GIMPS) mersenne.orgfree

  Collaborative project and research database dedicated to searching for and cataloging world-record Mersenne prime numbers.

Learn (4)

• Khan Academy: Mathematics khanacademy.orgfree

  Nonprofit learning platform providing structured interactive exercises and instructional videos across algebra, calculus, and statistics.

• MIT OpenCourseWare: Mathematics ocw.mit.edufree

  Free and open digital publication of high-quality educational materials from MIT undergraduate and graduate math and statistics courses.

• OpenStax Mathematics openstax.orgfree

  Peer-reviewed, openly licensed college textbooks in calculus, statistics, algebra, and precalculus from Rice University.

• Open Textbook Library: Mathematics open.umn.edufree

  Comprehensive repository of open, peer-reviewed textbooks in mathematics and statistics curated by the Open Education Network.

Publications (4)

• Annals of Mathematics annals.math.princeton.edufreemium

  Bimonthly mathematics journal published by Princeton University and the Institute for Advanced Study covering major research advances.

• Bulletin of the American Mathematical Society ams.orgfree

  Peer-reviewed journal publishing expository research survey articles and book reviews on contemporary mathematics.

• Electronic Journal of Combinatorics combinatorics.orgfree

  Fully open-access, peer-reviewed electronic journal devoted to discrete mathematics and combinatorics.

• American Mathematical Monthly maa.orgfreemium

  Widely read mathematical journal published for members of the Mathematical Association of America featuring expository papers.

Blogs and sites (3)

• MathOverflow mathoverflow.netfree

  Collaborative question-and-answer platform for professional mathematicians, researchers, and graduate students.

• What's new by Terence Tao terrytao.wordpress.comfree

  Expository mathematical blog by Fields Medalist Terence Tao covering research updates, lecture notes, and open problems.

• Statistical Modeling, Causal Inference, and Social Science statmodeling.stat.columbia.edufree

  Influential statistics blog by Andrew Gelman and colleagues discussing Bayesian methods, data science, and replication.

Events and conferences (3)

• International Congress of Mathematicians (ICM) mathunion.orgfree

  Premier global conference in mathematics held every four years by the International Mathematical Union where Fields Medals are awarded.

• Joint Mathematics Meetings (JMM) jointmathematicsmeetings.orgfree

  Largest annual mathematics gathering in the world organized by the American Mathematical Society.

• Joint Statistical Meetings (JSM) amstat.orgfree

  Largest annual gathering of statisticians and data scientists in North America organized by the American Statistical Association.

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