mathematics
Study of quantities
Mathematics is the study of numbers, quantities, shapes, and patterns through abstract reasoning and logical proof.
It encompasses arithmetic, algebra, geometry, calculus, and countless specialized branches.
Beyond pure theory, mathematics underlies science, engineering, economics, and computing: She studied mathematics at university.
Informally shortened to math (American) or maths (British).
Self-evident starting principle
- theoremDemonstrated logical conclusion
- proofDemonstration of truth
- conjectureGuess from limited facts
- propositionStatement expressing a judgment
lemma · corollary · topology · geometry · analysis · ring · field · logic
Science of matter and energy
- engineeringDesigning functional systems scientifically
- economicsScience of resource allocation
- cryptographyScience of secure messaging
- modelingSimulating or demonstrating form
simulation · actuarial · optimization · finance · statistics · bioinformatics · epidemiology
Unlimited extent or quantity
- dimensionMeasurable extent or scope
- variableProne to fluctuation
- constantFixed, unvarying quantity
- functionPurpose or duty
set · sequence · series · limit · derivative · integral · vector · matrix
Challenge testing ingenuity
- proofDemonstration of truth
- conjectureGuess from limited facts
- solutionAnswer or liquid mixture
- strategyPlanned approach to goals
analysis · logic · deduction · inference · heuristic · visualization · modeling · estimation
Joining quantities mathematically
- subtractionRemoving quantities mathematically
- multiplicationProduct-finding operation
- divisionSplitting into parts
- computationMathematical processing work
decimals · fractions · percentages · exponents · logarithms · roots · equations · formulas
axiom
Self-evident starting principle
- theoremDemonstrated logical conclusion
- proofDemonstration of truth
- conjectureGuess from limited facts
proposition · lemma · corollary · topology · geometry · analysis · ring · field · logic · probability
physics
Science of matter and energy
- engineeringDesigning functional systems scientifically
- economicsScience of resource allocation
- cryptographyScience of secure messaging
modeling · simulation · actuarial · optimization · finance · statistics · bioinformatics · epidemiology
infinity
Unlimited extent or quantity
function · set · sequence · series · limit · derivative · integral · vector · matrix · symmetry
puzzle
Challenge testing ingenuity
- proofDemonstration of truth
- conjectureGuess from limited facts
- solutionAnswer or liquid mixture
strategy · analysis · logic · deduction · inference · heuristic · visualization · modeling · estimation · verification
addition
Joining quantities mathematically
- subtractionRemoving quantities mathematically
- multiplicationProduct-finding operation
- divisionSplitting into parts
computation · decimals · fractions · percentages · exponents · logarithms · roots · equations · formulas · estimation
Euclid
Father of geometry
Leibniz · Pythagoras · Archimedes · Fermat · Ramanujan · Fibonacci · Descartes · Pascal · Turing · Cantor
curriculum
Educational program's content plan
textbook · homework · syllabus · classroom · lecture · tutoring · lesson · exam · quiz · degree
- sciencesbiology, chemistry, physics, astronomy, geology
- STEMscience, engineering, technology, chemistry, physics
- academic fieldsbiology, chemistry, physics, history, philosophy
- disciplinesbiology, chemistry, physics, psychology, sociology
- Technical Fieldsengineering, physics, chemistry, biology, computer science
- academic subjectschemistry, physics, biology, geography, history
mathematicsliterature
Body of written works
creative writing · poetry · English · rhetoric · philosophy
mathematicsintuition
Instinctive immediate understanding
emotion · mysticism · spirituality · faith · art
mathematicscreativity
Capacity for original thought
artistic expression · emotional intelligence · storytelling · free association · spontaneity
- mathematics educationTeaching of numerical disciplines
- mathematical puzzlesChallenges solved through reasoning
- applied mathematicsProblem-solving through quantitative methods
- mathematical proofLogical demonstration of truth
- mathematical modelEquations describing system behavior
- mathematical symbolsCharacters denoting quantities and operations
mathematical, mathematician, mathematicians, mathematically, nonmathematical