algebraic analysis
"Algebraic analysis" is a mathematical field that merges algebraic methods with analytical techniques to solve complex problems, especially those involving differential equations.
Definition
C2Mathematics
(technical, academic)A branch of mathematics that uses algebraic methods to study and solve problems involving differential equations and functions.
Example
- Algebraic analysis is essential for solving complex differential equations in physics.
- Researchers use algebraic analysis to explore new properties of mathematical functions.
C2Mathematics
(technical, academic)The study of systems of linear partial differential equations using techniques from algebra, sheaf theory, and complex analysis.
Example
- In algebraic analysis, sheaf theory helps in understanding the solutions of differential equations.
- Complex analysis plays a crucial role in algebraic analysis for examining functions and their generalizations.
Similar
Terms that have similar or relatively close meanings to "algebraic analysis":
algebraic statisticsalgebraic structurealgebraic graph theoryinfinitesimal analysisalgebraic notationassociative algebralinear algebranon-associative algebrauniversal algebradivision algebraanalytic functioncommutative algebraalgebraically closedsystems analysis