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Everything about Multiplication

Arithmetical operation

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product. Multiplication is often denoted by the cross symbol, ×, by the mid-line dot operator, ⋅, by juxtaposition, or, in programming languages, by an asterisk, *. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: MultiplicationA 5-minute orientation
  2. Skim a recent paper: Photonic matrix multiplication lights up photonic accelerator and beyondInfluential work since 2022
  3. Pick up a classic book: The Red Fairy BookThe most-reprinted book on the subject
  4. Read the landmark paper: Modular multiplication without trial divisionCited 2,044 times
  5. Go sideways: Multiplicative inverseA closely related topic
  6. Go sideways: Multiplication algorithmA closely related topic

📖 Definitions

Noun The process of computing the sum of an addition with one and the same number a specified number of times (i.e. 4 times 5 = [0 +] 5 + 5 + 5 + 5 = 20) or any other analogous binary operation that combines other mathematical objects.

Noun A calculation involving multiplication.

Noun The process of multiplying or increasing in number; increase.

🗂️ The subject at a glance

  1. Notation
  2. Definitions
  3. Computation
  4. Products of measurements
  5. Product of a sequence
  6. Exponentiation
  7. Properties
  8. Axioms
  9. Multiplication with set theory
  10. Multiplication in group theory
  11. Multiplication of different kinds of numbers

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics