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- Publishing Information
- Contributors to the First and Second Editions
- Preface to Sixth Edition
- Symbols and abbreviations
- Areas and volumes
- Centres of mass
- Moments of inertia
- SI prefixes, units, and constants
- Geometry: equations of lines and planes
- Basic algebra
- Derivatives
- Integrals
- Common ordinary differential equations and solutions
- Laplace Transforms
- Series
- Convergence tests for series
- Common inequalities
- Trigonometric formulae
- Probability distributions
- Vector algebra and operators
- Groups of order 15 or less
- Prime numbers less than 1000
- Greek letters
- Roman numerals
- Fields Medal winners
- Millennium Prize problems
- Historical timeline
Areas and volumes
- Source:
- The Concise Oxford Dictionary of Mathematics
Areas and volumes
(For unexplained notation, see under the relevant reference.)
Rectangle, length a, width b:
Area = ab.
Area = bh = ab sin θ.
Area = base×height = bc sin A.
Area = h(a + b).
Circle, radius r:
Area = πr2.
Length of circumference = 2πr.
Right-circular cylinder, radius r, height h:
Volume = πr2h,
Curved surface area = 2πrh.
Volume = πr2 h,
Curved surface area = πrl.
Volume = πh(a2 + ab + b2),
Curved surface area = π(a + b)l.
Sphere, radius r:
Volume = πr3,
Surface area = 4πr2.
Surface area of a cylinder:
Curved surface area = 2πrh.
- Publishing Information
- Contributors to the First and Second Editions
- Preface to Sixth Edition
- Symbols and abbreviations
- Areas and volumes
- Centres of mass
- Moments of inertia
- SI prefixes, units, and constants
- Geometry: equations of lines and planes
- Basic algebra
- Derivatives
- Integrals
- Common ordinary differential equations and solutions
- Laplace Transforms
- Series
- Convergence tests for series
- Common inequalities
- Trigonometric formulae
- Probability distributions
- Vector algebra and operators
- Groups of order 15 or less
- Prime numbers less than 1000
- Greek letters
- Roman numerals
- Fields Medal winners
- Millennium Prize problems
- Historical timeline
