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Everything about Mathematical model

Description of a system using mathematical concepts and language

A mathematical model is an abstract description of a concrete system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in many fields, including applied mathematics, natural sciences, social sciences and engineering. In particular, the field of operations research studies the use of mathematical modelling and related tools to solve problems in business or military operations. A model may help to characterize a system by studying the effects of different components, which may be used to make predictions about behavior or solve specific problems. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Mathematical modelA 5-minute orientation
  2. Skim a recent paper: Global impact of the first year of COVID-19 vaccination: a mathematical modelling studyInfluential work since 2022
  3. Pick up a classic book: Introductory Mathematical AnalysisThe most-reprinted book on the subject
  4. Read the landmark paper: A new mathematical model for relative quantification in real-time RT-PCRCited 30,416 times
  5. Go sideways: Nonlinear systemA closely related topic
  6. Go sideways: Differential equationA closely related topic

📖 Definitions

Noun An abstract mathematical representation of a process, device or concept using a number of variables to represent inputs, outputs and internal states, and sets of equations and inequalities to describe their interaction.

🗂️ The subject at a glance

  1. Principles
  2. Classifications
  3. Construction
  4. Significance in the natural sciences
  5. Some applications
  6. Examples

🏆 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