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Everything about Exponential function

Mathematical function, denoted exp(x) or e^x

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted ⁠⁠ or ⁠⁠; the latter is preferred when the argument ⁠⁠ is a complicated expression. It is called exponential because its argument can be seen as an exponent to which a constant number e ≈ 2.718, the base, is raised. There are several other definitions of the exponential function, which are all equivalent although being of very different nature. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Exponential functionA 5-minute orientation
  2. Skim a recent paper: Bounded exponential loss function based AdaBoost ensemble of OCSVMsInfluential work since 2022
  3. Pick up a classic book: Hyperbolic functionsThe most-reprinted book on the subject
  4. Read the landmark paper: The generalized integro-exponential functionCited 97 times
  5. Go sideways: Euler's formulaA closely related topic
  6. Go sideways: Natural logarithmA closely related topic

📖 Definitions

Noun Any function in which an independent variable is in the form of an exponent; they are the inverse functions of logarithms

🗂️ The subject at a glance

  1. Graph
  2. Definitions and fundamental properties
  3. General exponential functions
  4. Compound interest
  5. Differential equations
  6. Complex exponential
  7. Transcendency
  8. Computation
  9. Generalizations

🏆 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