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Everything about Elementary function

Type of mathematical function

In mathematics, elementary functions are a class of functions of a single variable that includes most of the functions of elementary calculus. The basic elementary functions are polynomial functions, rational functions, the trigonometric functions, the exponential and logarithm functions, the n-th root, and the inverse trigonometric functions, as well as those functions obtained by addition, multiplication, division, and composition of these. In general, elementary functions comprise the set of functions previously enumerated, all algebraic functions, and all functions obtained by roots of a polynomial whose coefficients are elementary. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Elementary functionA 5-minute orientation
  2. Skim a recent paper: The role of executive function in shaping the longitudinal stability of math achievement during early elementary gradesInfluential work since 2022
  3. Pick up a classic book: Engaging Students in Academic LiteraciesThe most-reprinted book on the subject
  4. Read the landmark paper: Efficient diffuse function‐augmented basis sets for anion calculations. III. The 3‐21+G basis set for first‐row elements, Li–FCited 7,167 times
  5. Go sideways: Risch algorithmA closely related topic
  6. Go sideways: Liouville's theorem (differential algebra)A closely related topic

📖 Definitions

Noun Any function that is composed of algebraic functions, trigonometric functions, exponential functions and/or logarithmic functions, combined using addition, subtraction, multiplication and/or division

🗂️ The subject at a glance

  1. Examples
  2. Real-variables and analytic branches
  3. Closure
  4. Extensions
  5. Differential algebra

🏆 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