Topic · Mathematical Physics
Mathematical and Theoretical Analysis
Mathematical and Theoretical Analysis is a research topic within Mathematical Physics. Science Explorer counts 12k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores the applications of generalized functions, infinite and infinitesimal numbers, and non-Archimedean mathematics in various mathematical and physical contexts. It covers topics such as Colombeau algebras, numerical computations, nonlinear models, microlocal analysis, topological structures, algebraic theory, and nonstandard analysis.
- Generalized Functions
- Infinite and Infinitesimal Numbers
- Non-Archimedean Mathematics
- Colombeau Algebras
- Numerical Computations
- Nonlinear Models
- Microlocal Analysis
- Topological Structures
- Algebraic Theory
- Nonstandard Analysis
- Research works
- 12k fractional, since 1950
- In the world top 10%
- 1.2k per year above
- Top-10% rate
- 10.1% share of its works in the world top 10%
- Growth, 2018-21 → 2022-25
- +11% the tick is no change
- Largest producer
United States
31% of the 10 largest, 2022-now
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