applied mathematics
Real-world problem-solving
Applied mathematics is the branch of mathematics concerned with using mathematical methods and techniques to solve practical problems in science, engineering, business, and other fields.
Unlike pure mathematics, which explores abstract concepts for their own sake, applied mathematics focuses on real-world applications such as modeling physical systems, optimizing processes, or analyzing data.
Her background in applied mathematics helped her develop algorithms for climate prediction.
Finite instruction sequences
- simulationImitation of real processes
- optimizationMaximizing efficiency or performance
- approximationNear but inexact value
- iterationRepeated procedural pass
interpolation · differential equations · linear algebra · parallel computing · convergence · boundary conditions
Optimization with straight-line constraints
- logisticsCoordination of complex activities
- schedulingAssigning times to events
- decision theoryStudy of optimal choices
- game theoryStudy of strategic interaction
Science of motion
- fluid dynamicsScience of flowing matter
- thermodynamicsScience of heat-energy relationships
- control systemsMechanisms maintaining desired outputs
- signal processingMathematical manipulation of waveforms
structural analysis · aerodynamics · robotics · biomechanics · heat transfer · feedback loops · materials science
Computational analysis of genetic data
- ecological systemsInterconnected communities of organisms
- pharmacokineticsDrug fate in body
- disease spreadPathogen movement between hosts
- biostatisticsStatistical methods for medicine
Mathematics of likelihood analysis
- hypothesis testingStatistical method for evaluating claims
- correlationStatistical relationship measure
- random variablesChance-determined numerical outcomes
- data analysisSystematic information interpretation
Statistical analysis of markets
- forecastingEstimating future conditions
- time seriesChronologically ordered observations
- algorithmic tradingComputer-driven market transactions
- financial engineeringDesigning novel monetary instruments
algorithms
Finite instruction sequences
- simulationImitation of real processes
- optimizationMaximizing efficiency or performance
- approximationNear but inexact value
iteration · interpolation · differential equations · linear algebra · parallel computing · convergence · boundary conditions
linear programming
Optimization with straight-line constraints
- logisticsCoordination of complex activities
- schedulingAssigning times to events
- decision theoryStudy of optimal choices
mechanics
Science of motion
- fluid dynamicsScience of flowing matter
- thermodynamicsScience of heat-energy relationships
- control systemsMechanisms maintaining desired outputs
signal processing · structural analysis · aerodynamics · robotics · biomechanics · heat transfer · feedback loops · materials science
bioinformatics
Computational analysis of genetic data
- ecological systemsInterconnected communities of organisms
- pharmacokineticsDrug fate in body
- disease spreadPathogen movement between hosts
probability theory
Mathematics of likelihood analysis
- hypothesis testingStatistical method for evaluating claims
- correlationStatistical relationship measure
- random variablesChance-determined numerical outcomes
econometrics
Statistical analysis of markets
- forecastingEstimating future conditions
- time seriesChronologically ordered observations
- algorithmic tradingComputer-driven market transactions
- exact sciencesphysics, chemistry, math, algebra, geometry
- subdisciplinesbiochemistry, microbiology, molecular biology, cell biology, genetics
applied mathematicspure mathematics
Mathematics pursued abstractly
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