Mathematics (nonfiction): Difference between revisions
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== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[Algorithm (nonfiction)]] | * [[Algorithm (nonfiction)]] | ||
* [[Cellular automaton (nonfiction)]] | * [[Cellular automaton (nonfiction)]] | ||
* [[Computation (nonfiction)]] | * [[Computation (nonfiction)]] | ||
* [[Fractal (nonfiction)]] | * [[Fractal (nonfiction)]] | ||
* [[Geometry (nonfiction)]] | * [[Geometry (nonfiction)]] | ||
* [[Gnomon (nonfiction)]] | * [[Gnomon (nonfiction)]] | ||
* [[Logic (nonfiction)]] | * [[Logic (nonfiction)]] | ||
* [[Mandelbrot set (nonfiction)]] | * [[Mandelbrot set (nonfiction)]] | ||
* [[Mathematician (nonfiction)]] | * [[Mathematician (nonfiction)]] | ||
* [[Number (nonfiction)]] | * [[Number (nonfiction)]] | ||
* [[Outsider mathematician (nonfiction)]] | * [[Outsider mathematician (nonfiction)]] | ||
* [[Permutation (nonfiction)]] | * [[Permutation (nonfiction)]] |
Revision as of 04:20, 31 May 2016
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of topics such as (numbers (nonfiction)), structure (nonfiction), space (nonfiction), time (nonfiction), motion (nonfiction), change (nonfiction), and measurement (nonfiction).
Definition
There is a range of views among mathematicians (nonfiction) and philosophers as to the exact scope and definition of mathematics.
Patterns and conjectures
Mathematicians seek out patterns and use them to formulate new conjectures (nonfiction).
Mathematical proof
Mathematicians resolve the truth or falsity of conjectures by mathematical proof (nonfiction).
Physics
When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature.
See Physics (nonfiction).
Fundamental principles
Through the use of Abstraction (mathematics) (nonfiction) and logic (nonfiction), mathematics developed from:
- Counting (nonfiction)
- Calculation (nonfiction)
- Measurement (nonfiction)
- The systematic study of the shapes and motions of physical objects
History
Practical mathematics has been a human activity for as far back as written records exist.
Effort required
The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Nonfiction cross-reference
- Algorithm (nonfiction)
- Cellular automaton (nonfiction)
- Computation (nonfiction)
- Fractal (nonfiction)
- Geometry (nonfiction)
- Gnomon (nonfiction)
- Logic (nonfiction)
- Mandelbrot set (nonfiction)
- Mathematician (nonfiction)
- Number (nonfiction)
- Outsider mathematician (nonfiction)
- Permutation (nonfiction)
- Pi (nonfiction)
- Polar coordinate system (nonfiction)
- Prenex normal form (nonfiction)
- Power of two (nonfiction)
- Real number (nonfiction)
- Recursion (nonfiction)
- Rounding (nonfiction)
- Round-off error (nonfiction)
- Scaling (geometry) (nonfiction)
- Self-reference (nonfiction)
- Signal (nonfiction)
- Signal processing (nonfiction)
- Simplicial complex (nonfiction)
- The Unreasonable Effectiveness of Mathematics in the Natural Sciences (nonfiction)
- Tuple (nonfiction)
- Turing machine (nonfiction)
- Variable (mathematics) (nonfiction)
- Undecidable problem (nonfiction)
Fiction cross-references
- Axiom Antics
- Gnomon Algorithm
- Pi disaster
- Mathematician
- Mathematics
- Poem
- Three is the Color of My True Love's Hair (nonfiction)
External links
- Mathematics @ Wikipedia