Index of terms
Every concept, theorem, method and person the concept graph places in a chapter of this book, with the chapters that teach it and the other books on the shelf that teach it too.
Concepts (123)
- abscissa
Taught in: Geometrical Meaning of Differentiation
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Mathematical Recreations and Essays
- adiabatic process
Taught in: On Finding Areas by Integrating
Also in: Treatise on Thermodynamics
- algebraic fraction
Taught in: Other Useful Dodges
Also in: A First Book in Algebra, The First Steps in Algebra
- alternating current
Taught in: Finding some Solutions
Also in: Vector Analysis and Quaternions
- angle between two curves
Taught in: Geometrical Meaning of Differentiation
- annulus
Taught in: On Finding Areas by Integrating
Also in: Mathematical Recreations and Essays
- approximation
Taught in: Integration
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
- area
Taught in: On Finding Areas by Integrating
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
- area of a surface of revolution
Taught in: On Finding Areas by Integrating
- arithmetical mean
Taught in: On Finding Areas by Integrating
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry, The First Steps in Algebra
- average
Taught in: Integration
- calculus
Taught in: Prologue, Simplest Cases, Other Useful Dodges, Epilogue and Apologue
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- circular function
Taught in: How to deal with Sines and Cosines
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry
- circular sector
Taught in: On Finding Areas by Integrating
Also in: Elements of Plane Trigonometry, Plane Geometry
- common logarithm
Taught in: Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry
- compound interest
Taught in: On true Compound Interest and the Law of Organic Growth
- concave curve
Taught in: Curvature of Curves
- constant
Taught in: On Relative Growings, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients, Partial Differentiation
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry, Solid Geometry with Problems and Applications
- constant factor
Taught in: Next Stage. What to do with Constants
- constant of absorption
Taught in: On true Compound Interest and the Law of Organic Growth
- constant of decrement
Taught in: On true Compound Interest and the Law of Organic Growth
- constant of integration
Taught in: Integration, Integrating as the Reverse of Differentiating, Dodges, Pitfalls, and Triumphs, Finding some Solutions, Table of Standard Forms
Also in: Treatise on Thermodynamics
- constant term
Taught in: Next Stage. What to do with Constants, Integrating as the Reverse of Differentiating, On Finding Areas by Integrating
Also in: The First Steps in Algebra
- convergent series
Taught in: Integration
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- convex curve
Taught in: Curvature of Curves
- cosecant
Taught in: How to deal with Sines and Cosines
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry, Mathematical Recreations and Essays
- cosine
Taught in: Introducing a Useful Dodge, How to deal with Sines and Cosines, Integration, Integrating as the Reverse of Differentiating, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
- cotangent
Taught in: How to deal with Sines and Cosines, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry, Spherical Trigonometry, for the Use of Colleges and Schools
- curvature
Taught in: Curvature of Curves
Also in: A Course of Pure Mathematics, Vector Analysis and Quaternions
- cusp
Taught in: Geometrical Meaning of Differentiation, Maxima and Minima
Also in: Mathematical Recreations and Essays
- definite integral
Taught in: On Finding Areas by Integrating
Also in: A Course of Pure Mathematics
- denominator
Taught in: Other Useful Dodges
Also in: A Course of Pure Mathematics, The First Steps in Algebra
- dependent variable
Taught in: On Relative Growings
- derivative
Taught in: On Relative Growings, Simplest Cases, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients, Successive Differentiation, When Time Varies, Introducing a Useful Dodge, Geometrical Meaning of Differentiation, Curvature of Curves, Other Useful Dodges, On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines, Integration, Table of Standard Forms
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- die-away factor
Taught in: On true Compound Interest and the Law of Organic Growth
- differential
Taught in: To deliver you from the Preliminary Terrors, On Different Degrees of Smallness, On Relative Growings, Simplest Cases, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients, Geometrical Meaning of Differentiation, How to deal with Sines and Cosines, Integration
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Treatise on Thermodynamics
- differential equation
Taught in: Partial Differentiation, Integrating as the Reverse of Differentiating, Dodges, Pitfalls, and Triumphs, Finding some Solutions
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
- equation of condition
Taught in: Maxima and Minima
- Euler's number
Taught in: On true Compound Interest and the Law of Organic Growth, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- exact differential
Taught in: Finding some Solutions
Also in: A Course of Pure Mathematics, Treatise on Thermodynamics
- explicit function
Taught in: On Relative Growings
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- exponent
Taught in: Simplest Cases, Sums, Differences, Products and Quotients, Introducing a Useful Dodge
Also in: A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra, Vector Analysis and Quaternions
- exponential function
Taught in: On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines, Integrating as the Reverse of Differentiating, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- factor
Taught in: Other Useful Dodges
Also in: A Course of Pure Mathematics, A First Book in Algebra, First Course in the Theory of Equations, Mathematical Recreations and Essays, The First Steps in Algebra
- fluxional notation
Taught in: When Time Varies
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- form factor
Taught in: On Finding Areas by Integrating
- frustum of a pyramid
Taught in: Sums, Differences, Products and Quotients
- function
Taught in: On Relative Growings, Simplest Cases, Sums, Differences, Products and Quotients, Successive Differentiation, Geometrical Meaning of Differentiation, Curvature of Curves, On true Compound Interest and the Law of Organic Growth
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Solid Geometry with Problems and Applications
- function notation
Taught in: On Relative Growings, Successive Differentiation
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- function of several variables
Taught in: Partial Differentiation
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- geometric series
Taught in: Integration
Also in: Elementary Illustrations of the Differential and Integral Calculus
- higher-order derivative
Taught in: On Relative Growings, Successive Differentiation, When Time Varies, Curvature of Curves, How to deal with Sines and Cosines, Finding some Solutions
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- hyperbolic function
Taught in: Table of Standard Forms
Also in: A Course of Pure Mathematics
- imaginary root
Taught in: Maxima and Minima
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, First Course in the Theory of Equations, Mathematical Recreations and Essays, The First Steps in Algebra
- implicit function
Taught in: On Relative Growings
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- increment
Taught in: On Different Degrees of Smallness, On Relative Growings, Geometrical Meaning of Differentiation
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- independent variable
Taught in: On Relative Growings
Also in: Elementary Illustrations of the Differential and Integral Calculus
- infinitesimal
Taught in: To deliver you from the Preliminary Terrors, On Different Degrees of Smallness, On Relative Growings, Simplest Cases, Sums, Differences, Products and Quotients, Integration
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Treatise on Thermodynamics, Vector Analysis and Quaternions
- initial value
Taught in: Finding some Solutions
- integral
Taught in: To deliver you from the Preliminary Terrors, Integration, Table of Standard Forms
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- integrating factor
Taught in: Finding some Solutions
- intersection of two curves
Taught in: Geometrical Meaning of Differentiation
Also in: Elementary Illustrations of the Differential and Integral Calculus
- inverse circular function
Taught in: Dodges, Pitfalls, and Triumphs, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics
- inverse function
Taught in: Other Useful Dodges, On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- limit
Taught in: Sums, Differences, Products and Quotients, On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry, Solid Geometry with Problems and Applications
- limiting case
Taught in: On Relative Growings
Also in: A Course of Pure Mathematics, Treatise on Thermodynamics
- limits of integration
Taught in: On Finding Areas by Integrating
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- line
Taught in: Integration
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Solid Geometry with Problems and Applications
- logarithm
Taught in: On true Compound Interest and the Law of Organic Growth, Integration, Integrating as the Reverse of Differentiating, Dodges, Pitfalls, and Triumphs, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Mathematical Recreations and Essays, Spherical Trigonometry, for the Use of Colleges and Schools
- logarithmic rate of growth
Taught in: On true Compound Interest and the Law of Organic Growth
- mathematical physics
Taught in: Partial Differentiation
Also in: An Introduction to Mathematics, Mathematical Recreations and Essays
- mathematical rigor
Taught in: Epilogue and Apologue
- mathematics
Taught in: Prologue
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- maximum
Taught in: Geometrical Meaning of Differentiation, Maxima and Minima, Curvature of Curves, On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines, Partial Differentiation
Also in: A Course of Pure Mathematics, First Course in the Theory of Equations, Mathematical Recreations and Essays, Plane Geometry, Treatise on Thermodynamics
- mean ordinate
Taught in: On Finding Areas by Integrating
- minimum
Taught in: Geometrical Meaning of Differentiation, Maxima and Minima, Curvature of Curves, On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines, Partial Differentiation
Also in: A Course of Pure Mathematics, First Course in the Theory of Equations, Plane Geometry
- multiple integral
- natural logarithm
Taught in: On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines, Integrating as the Reverse of Differentiating, Table of Standard Forms
Also in: Elementary Illustrations of the Differential and Integral Calculus
- negative number
Taught in: Simplest Cases
Also in: A First Book in Algebra, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- numerator
Taught in: Other Useful Dodges
Also in: The First Steps in Algebra
- operation
Taught in: To deliver you from the Preliminary Terrors
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- order of smallness
Taught in: On Different Degrees of Smallness, Simplest Cases, Sums, Differences, Products and Quotients
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- ordinate
Taught in: Geometrical Meaning of Differentiation
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- partial derivative
Taught in: Partial Differentiation, Finding some Solutions
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Treatise on Thermodynamics
- partial differential
Taught in: Partial Differentiation
Also in: Elementary Illustrations of the Differential and Integral Calculus
- Pascal's snail
Taught in: On Finding Areas by Integrating
- periodic function
Taught in: How to deal with Sines and Cosines
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elements of Plane Trigonometry, Mathematical Recreations and Essays
- phase lag
Taught in: Finding some Solutions
- pi
Taught in: On true Compound Interest and the Law of Organic Growth
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Mathematical Recreations and Essays, Plane Geometry
- pitfall
Taught in: Dodges, Pitfalls, and Triumphs
- point of tangency
Taught in: Geometrical Meaning of Differentiation
Also in: First Course in the Theory of Equations, Plane Geometry, Treatise on Thermodynamics
- polar coordinates
Taught in: On Finding Areas by Integrating
Also in: A Course of Pure Mathematics
- polynomial
Taught in: Sums, Differences, Products and Quotients
Also in: A Course of Pure Mathematics, A First Book in Algebra, First Course in the Theory of Equations, The First Steps in Algebra
- power
Taught in: Simplest Cases
Also in: A Course of Pure Mathematics, A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- product
Taught in: Sums, Differences, Products and Quotients
Also in: A Course of Pure Mathematics, A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra, Vector Analysis and Quaternions
- proper algebraic fraction
Taught in: Other Useful Dodges
Also in: A Course of Pure Mathematics
- quadratic equation
Taught in: Maxima and Minima
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, First Course in the Theory of Equations, Mathematical Recreations and Essays, The First Steps in Algebra
- quadratic mean
Taught in: On Finding Areas by Integrating
- quotient
Taught in: Sums, Differences, Products and Quotients
Also in: A First Book in Algebra, The First Steps in Algebra, Vector Analysis and Quaternions
- rate of change
Taught in: Next Stage. What to do with Constants, When Time Varies
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- ratio
Taught in: On Relative Growings
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry, Treatise on Thermodynamics
- reciprocal
Taught in: Other Useful Dodges
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra, Vector Analysis and Quaternions
- rectangle
Taught in: Maxima and Minima
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry
- relation between variables
Taught in: On Relative Growings
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- root
Taught in: Simplest Cases
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, The First Steps in Algebra
- secant
Taught in: How to deal with Sines and Cosines, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry, Plane Geometry
- simple interest
Taught in: On true Compound Interest and the Law of Organic Growth
- simultaneous equations
Taught in: Geometrical Meaning of Differentiation
Also in: A First Book in Algebra, First Course in the Theory of Equations, The First Steps in Algebra
- sine
Taught in: Introducing a Useful Dodge, How to deal with Sines and Cosines, Integrating as the Reverse of Differentiating, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
- slope of a curve
Taught in: Next Stage. What to do with Constants, Geometrical Meaning of Differentiation, Curvature of Curves, Integration
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- solution
Taught in: Dodges, Pitfalls, and Triumphs, Finding some Solutions
Also in: A Course of Pure Mathematics, Treatise on Thermodynamics
- square
Taught in: On Different Degrees of Smallness
Also in: A First Book in Algebra, Plane Geometry, The First Steps in Algebra, Vector Analysis and Quaternions
- standard forms of integration
Taught in: Integrating as the Reverse of Differentiating, Table of Standard Forms
Also in: A Course of Pure Mathematics
- stationary value
Taught in: Maxima and Minima, Curvature of Curves
- sum
Taught in: To deliver you from the Preliminary Terrors, Sums, Differences, Products and Quotients
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Vector Analysis and Quaternions
- tangent
Taught in: Geometrical Meaning of Differentiation
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, First Course in the Theory of Equations, Mathematical Recreations and Essays, Plane Geometry, Treatise on Thermodynamics
- tangent function
Taught in: Geometrical Meaning of Differentiation, How to deal with Sines and Cosines, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- total differential
Taught in: Partial Differentiation
Also in: Elementary Illustrations of the Differential and Integral Calculus
- unknown
Taught in: Other Useful Dodges
Also in: A First Book in Algebra, An Introduction to Mathematics, First Course in the Theory of Equations, The First Steps in Algebra
- variable
Taught in: On Relative Growings, Simplest Cases, Next Stage. What to do with Constants, Introducing a Useful Dodge
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry, Solid Geometry with Problems and Applications, The First Steps in Algebra
- wave equation
Taught in: Finding some Solutions
- wave propagation
Taught in: Finding some Solutions
- work
Taught in: When Time Varies, On Finding Areas by Integrating
Also in: An Elementary Treatise on Electricity, Mathematical Recreations and Essays, Treatise on Thermodynamics, Vector Analysis and Quaternions
Theorems (26)
- area of a circle
Taught in: On Finding Areas by Integrating
Also in: Plane Geometry, Solid Geometry with Problems and Applications
- binomial theorem
Taught in: Simplest Cases, Sums, Differences, Products and Quotients, On true Compound Interest and the Law of Organic Growth
Also in: A Course of Pure Mathematics, A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Vector Analysis and Quaternions
- chain rule for differentiation
Taught in: Introducing a Useful Dodge, How to deal with Sines and Cosines
- constant multiple rule for integration
- derivative of a constant multiple
Taught in: Next Stage. What to do with Constants
- derivative of an added constant
Taught in: Next Stage. What to do with Constants
- die-away curve
Taught in: On true Compound Interest and the Law of Organic Growth, On Finding Areas by Integrating, Finding some Solutions
- difference of two sines
Taught in: How to deal with Sines and Cosines
- difference rule for differentiation
Taught in: Sums, Differences, Products and Quotients
- equation of the tangent
Taught in: Geometrical Meaning of Differentiation
Also in: A Course of Pure Mathematics
- exponential series
Taught in: On true Compound Interest and the Law of Organic Growth
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
- integral of 1/x
- power rule
Taught in: Simplest Cases, Successive Differentiation, Introducing a Useful Dodge, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- power rule for derivatives
Taught in: Next Stage. What to do with Constants
Also in: A Course of Pure Mathematics
- power rule for differentiation
Taught in: Simplest Cases, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients, Successive Differentiation, Introducing a Useful Dodge, On true Compound Interest and the Law of Organic Growth, Integrating as the Reverse of Differentiating, Table of Standard Forms
- power rule for integration
Taught in: Integrating as the Reverse of Differentiating, Table of Standard Forms
- product rule
Taught in: Introducing a Useful Dodge, Dodges, Pitfalls, and Triumphs, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- product rule for differentiation
Taught in: Sums, Differences, Products and Quotients, How to deal with Sines and Cosines, Dodges, Pitfalls, and Triumphs, Table of Standard Forms
- pythagorean theorem
Taught in: On Relative Growings
Also in: Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry
- quotient rule
Taught in: Introducing a Useful Dodge, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- quotient rule for differentiation
Taught in: Sums, Differences, Products and Quotients, Curvature of Curves, Table of Standard Forms
- sum rule for differentiation
Taught in: Sums, Differences, Products and Quotients, Integrating as the Reverse of Differentiating, Table of Standard Forms
- sum rule for integration
Taught in: Integrating as the Reverse of Differentiating, Table of Standard Forms
- trigonometric identity
Taught in: How to deal with Sines and Cosines
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry
- volume of a cylinder
Taught in: Next Stage. What to do with Constants
- volume of a sphere
Taught in: On Finding Areas by Integrating
Methods (31)
- addition
Taught in: Other Useful Dodges
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, The First Steps in Algebra
- area of a surface of revolution
Taught in: On Finding Areas by Integrating
- arranging in columns
Taught in: Simplest Cases
Also in: The First Steps in Algebra
- change of variables
Taught in: Finding some Solutions
- checking a result by substitution
Taught in: Other Useful Dodges
- differentiating an inverse function
Taught in: Other Useful Dodges, How to deal with Sines and Cosines
- differentiating from first principles
Taught in: Simplest Cases, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients
Also in: Elementary Illustrations of the Differential and Integral Calculus
- differentiation
Taught in: On Relative Growings, Simplest Cases, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients, Successive Differentiation, When Time Varies, Introducing a Useful Dodge, Geometrical Meaning of Differentiation, Maxima and Minima, Curvature of Curves, Other Useful Dodges, On true Compound Interest and the Law of Organic Growth, How to deal with Sines and Cosines, Partial Differentiation, Integration, Integrating as the Reverse of Differentiating, Dodges, Pitfalls, and Triumphs, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Mathematical Recreations and Essays
- division
Taught in: Other Useful Dodges
Also in: A Course of Pure Mathematics, A First Book in Algebra, The First Steps in Algebra
- equating coefficients
Taught in: Other Useful Dodges
- equating the derivative to zero
Taught in: Maxima and Minima, Curvature of Curves
- factorization of denominator
Taught in: Dodges, Pitfalls, and Triumphs
- finding an area in polar coordinates
Taught in: On Finding Areas by Integrating
- finding volumes by integrating
Taught in: On Finding Areas by Integrating
- formulae of reduction
Taught in: Dodges, Pitfalls, and Triumphs
Also in: A Course of Pure Mathematics
- integration
Taught in: To deliver you from the Preliminary Terrors, Other Useful Dodges, Integration, Integrating as the Reverse of Differentiating, On Finding Areas by Integrating, Dodges, Pitfalls, and Triumphs, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- integration by parts
Taught in: Dodges, Pitfalls, and Triumphs, Finding some Solutions, Table of Standard Forms
Also in: A Course of Pure Mathematics
- maxima and minima of a function of two variables
Taught in: Partial Differentiation
- neglecting higher-order small quantities
Taught in: On Different Degrees of Smallness, Simplest Cases, Next Stage. What to do with Constants, Sums, Differences, Products and Quotients
Also in: Elementary Illustrations of the Differential and Integral Calculus, Spherical Trigonometry, for the Use of Colleges and Schools
- partial fractions
Taught in: Other Useful Dodges, Dodges, Pitfalls, and Triumphs
Also in: A Course of Pure Mathematics
- plotting a curve
Taught in: Geometrical Meaning of Differentiation
- rationalization
Taught in: Dodges, Pitfalls, and Triumphs
- second derivative test
Taught in: Maxima and Minima, Curvature of Curves
Also in: A Course of Pure Mathematics
- separating the variables
Taught in: Finding some Solutions
- substituting convenient values of x
Taught in: Other Useful Dodges
- substitution
Taught in: Introducing a Useful Dodge, Dodges, Pitfalls, and Triumphs
Also in: A Course of Pure Mathematics, A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- subtraction
Taught in: On Finding Areas by Integrating
Also in: A Course of Pure Mathematics, A First Book in Algebra, The First Steps in Algebra, Treatise on Thermodynamics
- summation
Taught in: Integration
- testing a stationary value by neighbouring values
Taught in: Maxima and Minima
- testing for an exact differential
Taught in: Finding some Solutions
- trial and error
Taught in: Maxima and Minima
Also in: Mathematical Recreations and Essays
Laws (1)
- Newton's law of cooling
Taught in: On true Compound Interest and the Law of Organic Growth
Quantities (18)
- acceleration
Taught in: When Time Varies, Curvature of Curves
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- angle
Taught in: How to deal with Sines and Cosines
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Mathematical Recreations and Essays, Plane Geometry, Solid Geometry with Problems and Applications, Vector Analysis and Quaternions
- angular acceleration
Taught in: When Time Varies
- angular velocity
Taught in: When Time Varies
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- average velocity
Taught in: When Time Varies
- distance
Taught in: When Time Varies
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry
- electromotive force
Taught in: Finding some Solutions
Also in: An Elementary Treatise on Electricity, Vector Analysis and Quaternions
- force
Taught in: When Time Varies
Also in: An Elementary Treatise on Electricity, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
- frequency
Taught in: How to deal with Sines and Cosines, Finding some Solutions
Also in: Vector Analysis and Quaternions
- interest
Taught in: On true Compound Interest and the Law of Organic Growth
Also in: The First Steps in Algebra
- mass
Taught in: When Time Varies
Also in: An Introduction to Mathematics, Mathematical Recreations and Essays, Treatise on Thermodynamics, Vector Analysis and Quaternions
- momentum
Taught in: When Time Varies
- pressure
Taught in: Sums, Differences, Products and Quotients
Also in: Mathematical Recreations and Essays, Treatise on Thermodynamics
- resistance
Taught in: Sums, Differences, Products and Quotients, Finding some Solutions
Also in: An Elementary Treatise on Electricity, Vector Analysis and Quaternions
- self-induction
Taught in: Finding some Solutions
Also in: Vector Analysis and Quaternions
- time
Taught in: To deliver you from the Preliminary Terrors
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, The First Steps in Algebra
- time-constant
Taught in: On true Compound Interest and the Law of Organic Growth
- velocity
Taught in: When Time Varies
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Vector Analysis and Quaternions
Units (5)
- degree of angle
Taught in: How to deal with Sines and Cosines
Also in: Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
- hour
Taught in: To deliver you from the Preliminary Terrors
Also in: Mathematical Recreations and Essays
- minute
Taught in: On Different Degrees of Smallness
Also in: Mathematical Recreations and Essays
- radian
Taught in: When Time Varies, How to deal with Sines and Cosines
Also in: Elements of Plane Trigonometry, First Course in the Theory of Equations, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
- second
Taught in: To deliver you from the Preliminary Terrors, On Different Degrees of Smallness
Also in: Mathematical Recreations and Essays
Instruments (1)
- pyrometer
Taught in: Next Stage. What to do with Constants
People (5)
- George Boole
Taught in: Dodges, Pitfalls, and Triumphs
- Gottfried Wilhelm Leibniz
Taught in: When Time Varies
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- Isaac Newton
Taught in: When Time Varies
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, First Course in the Theory of Equations, Mathematical Recreations and Essays
- John Napier
Taught in: On true Compound Interest and the Law of Organic Growth
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry, Spherical Trigonometry, for the Use of Colleges and Schools
- Jonathan Swift
Taught in: On Different Degrees of Smallness
Also in: Mathematical Recreations and Essays