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 (90)
- absolute value
Taught in: Positive and Negative Numbers
Also in: A Course of Pure Mathematics, First Course in the Theory of Equations
- affected quadratic equation
Taught in: Quadratic Equations
Also in: A First Book in Algebra
- algebra
Taught in: Introduction
Also in: A First Book in Algebra, An Introduction to Mathematics, Mathematical Recreations and Essays, Vector Analysis and Quaternions
- algebraic expression
Taught in: Introduction
Also in: A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus
- algebraic fraction
Taught in: Fractions, Simultaneous Equations of the First Degree
Also in: A First Book in Algebra, Calculus Made Easy
- algebraic number
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra
- algebraic sum
Taught in: Positive and Negative Numbers, Factors
Also in: A First Book in Algebra
- arithmetical mean
Taught in: Arithmetical Progression
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elements of Plane Trigonometry
- arithmetical progression
Taught in: Arithmetical Progression
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- arrangement
Taught in: Introduction, Multiplication and Division
Also in: A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus
- binomial
Taught in: Introduction, Factors
Also in: A First Book in Algebra
- coefficient
Taught in: Introduction, Addition and Subtraction, Simultaneous Equations of the First Degree, Quadratic Equations
Also in: A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- combined rate
Taught in: Fractional Equations
- common difference
Taught in: Arithmetical Progression
Also in: Mathematical Recreations and Essays
- common factor
Taught in: Common Factors and Multiples
Also in: A First Book in Algebra
- common multiple
Taught in: Common Factors and Multiples
Also in: A First Book in Algebra
- common ratio
Taught in: Geometrical Progression
- complete divisor
Taught in: Square and Cube Roots
Also in: A First Book in Algebra
- complex fraction
Taught in: Fractions
Also in: A First Book in Algebra
- constant term
Taught in: Quadratic Equations
Also in: Calculus Made Easy
- cube
Taught in: Introduction
Also in: A First Book in Algebra, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications
- degree
Taught in: Introduction
Also in: A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- denominator
Taught in: Fractions
- digit
Taught in: Simultaneous Equations of the First Degree
Also in: An Introduction to Mathematics, Mathematical Recreations and Essays
- dividend
Taught in: Multiplication and Division
Also in: A First Book in Algebra
- divisibility
Taught in: Multiplication and Division, Factors
Also in: A Course of Pure Mathematics, A First Book in Algebra
- divisor
Taught in: Multiplication and Division
Also in: A First Book in Algebra
- dominant letter
Taught in: Introduction
- equality
Taught in: Introduction
Also in: A First Book in Algebra, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry
- equation
Taught in: Simple Equations
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- exponent
Taught in: Introduction
Also in: A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Vector Analysis and Quaternions
- factor
Taught in: Introduction, Factors
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, First Course in the Theory of Equations, Mathematical Recreations and Essays
- formula
Taught in: Fractional Equations
- fractional equation
Taught in: Fractional Equations, Quadratic Equations
Also in: A First Book in Algebra
- geometrical mean
Taught in: Geometrical Progression
Also in: A Course of Pure Mathematics, Elements of Plane Trigonometry, Plane Geometry
- geometrical progression
Taught in: Geometrical Progression
Also in: A Course of Pure Mathematics, An Elementary Treatise on Electricity, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- highest common factor
Taught in: Common Factors and Multiples
Also in: A Course of Pure Mathematics, A First Book in Algebra, First Course in the Theory of Equations
- identity
Taught in: Simple Equations
- imaginary root
Taught in: Quadratic Equations
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, First Course in the Theory of Equations, Mathematical Recreations and Essays
- implied multiplication
Taught in: Introduction
Also in: An Introduction to Mathematics
- independent equations
Taught in: Simultaneous Equations of the First Degree
- inequality
Taught in: Introduction
Also in: An Introduction to Mathematics
- integer
Taught in: Positive and Negative Numbers
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
- integral expression
Taught in: Addition and Subtraction, Factors
- like terms
Taught in: Introduction, Addition and Subtraction, Multiplication and Division
Also in: A First Book in Algebra
- linear equation
Taught in: Simple Equations, Simultaneous Equations of the First Degree
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, First Course in the Theory of Equations
- literal equation
Taught in: Fractional Equations
- literal quadratic equation
Taught in: Quadratic Equations
- lowest common denominator
Taught in: Fractions
Also in: A First Book in Algebra
- lowest common multiple
Taught in: Common Factors and Multiples
Also in: A First Book in Algebra
- lowest terms
Taught in: Fractions
Also in: A Course of Pure Mathematics, A First Book in Algebra
- member
Taught in: Simple Equations
Also in: A First Book in Algebra
- minuend
Taught in: Addition and Subtraction
Also in: A First Book in Algebra
- monomial
Taught in: Introduction, Multiplication and Division, Factors
Also in: A First Book in Algebra
- negative number
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
- number
Taught in: Introduction
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- number line
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra, An Introduction to Mathematics
- numerator
Taught in: Fractions
Also in: Calculus Made Easy
- numerical quadratic equation
Taught in: Quadratic Equations
- numerical value
Taught in: Introduction
Also in: A First Book in Algebra
- parenthesis
Taught in: Introduction, Addition and Subtraction
Also in: A First Book in Algebra, An Introduction to Mathematics
- partial product
Taught in: Multiplication and Division
Also in: Vector Analysis and Quaternions
- perfect cube
Taught in: Square and Cube Roots
- perfect square
Taught in: Square and Cube Roots
Also in: A First Book in Algebra, An Introduction to Mathematics
- polynomial
Taught in: Introduction, Multiplication and Division, Factors
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, First Course in the Theory of Equations
- positive number
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra, An Introduction to Mathematics
- power
Taught in: Introduction
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
- product
Taught in: Multiplication and Division
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Vector Analysis and Quaternions
- pure quadratic equation
Taught in: Quadratic Equations
Also in: A First Book in Algebra
- quadratic equation
Taught in: Quadratic Equations
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Calculus Made Easy, First Course in the Theory of Equations, Mathematical Recreations and Essays
- quotient
Taught in: Multiplication and Division, Simultaneous Equations of the First Degree
Also in: A First Book in Algebra, Calculus Made Easy, Vector Analysis and Quaternions
- radical sign
Taught in: Quadratic Equations
Also in: A First Book in Algebra
- rational expression
Taught in: Factors
- rational root
Taught in: Quadratic Equations
- real root
Taught in: Quadratic Equations
Also in: A Course of Pure Mathematics, First Course in the Theory of Equations
- reciprocal
Taught in: Fractions
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Vector Analysis and Quaternions
- relatively prime
Taught in: Common Factors and Multiples
Also in: A Course of Pure Mathematics
- remainder
Taught in: Multiplication and Division, Simultaneous Equations of the First Degree
Also in: A First Book in Algebra, First Course in the Theory of Equations, Mathematical Recreations and Essays
- root
Taught in: Introduction, Factors, Quadratic Equations, Square and Cube Roots
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- rule
Taught in: Fractional Equations
- sign
Taught in: Positive and Negative Numbers
Also in: Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- simultaneous equations
Taught in: Simultaneous Equations of the First Degree
Also in: A First Book in Algebra, Calculus Made Easy, First Course in the Theory of Equations
- square
Taught in: Introduction, Quadratic Equations
Also in: A First Book in Algebra, Calculus Made Easy, Plane Geometry, Vector Analysis and Quaternions
- subtrahend
Taught in: Addition and Subtraction
Also in: A First Book in Algebra
- surd
Taught in: Quadratic Equations
Also in: A Course of Pure Mathematics
- term
Taught in: Introduction
Also in: A Course of Pure Mathematics, A First Book in Algebra, Plane Geometry
- trial divisor
Taught in: Square and Cube Roots
Also in: A First Book in Algebra
- trinomial
Taught in: Factors
Also in: A First Book in Algebra, Vector Analysis and Quaternions
- unknown
Taught in: Simple Equations, Simultaneous Equations of the First Degree
Also in: A First Book in Algebra, An Introduction to Mathematics, Calculus Made Easy, First Course in the Theory of Equations
- variable
Taught in: Introduction
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry, Solid Geometry with Problems and Applications
Theorems (19)
- cube of a sum
Taught in: Square and Cube Roots
Also in: A First Book in Algebra
- difference of two cubes
Taught in: Multiplication and Division, Factors
Also in: A First Book in Algebra
- difference of two squares
Taught in: Multiplication and Division, Factors, Quadratic Equations
Also in: A First Book in Algebra, Mathematical Recreations and Essays
- equality axioms
Taught in: Simple Equations
- fundamental principle of fractions
Taught in: Fractions
Also in: A First Book in Algebra
- index law in division
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra
- index law in multiplication
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra
- law of signs in division
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra
- law of signs in multiplication
Taught in: Positive and Negative Numbers
Also in: A First Book in Algebra
- nth term of a geometrical progression
Taught in: Geometrical Progression
- nth term of an arithmetical progression
Taught in: Arithmetical Progression
- removing parentheses preceded by minus
Taught in: Introduction, Addition and Subtraction, Factors
Also in: A First Book in Algebra
- removing parentheses preceded by plus
Taught in: Introduction, Addition and Subtraction
Also in: A First Book in Algebra
- square of a difference
Taught in: Multiplication and Division, Quadratic Equations
- square of a sum
Taught in: Multiplication and Division, Factors, Quadratic Equations
Also in: A First Book in Algebra
- sum of a geometrical progression
Taught in: Geometrical Progression
- sum of an arithmetical progression
Taught in: Arithmetical Progression
- sum of two cubes
Taught in: Multiplication and Division, Factors
Also in: A First Book in Algebra
- transposition rule
Taught in: Simple Equations
Also in: A First Book in Algebra
Methods (40)
- adding fractions
Taught in: Fractions
Also in: A First Book in Algebra
- addition
Taught in: Introduction, Addition and Subtraction, Simultaneous Equations of the First Degree
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Calculus Made Easy
- arranging in columns
Taught in: Addition and Subtraction
Also in: Calculus Made Easy
- clearing an equation of fractions
Taught in: Fractional Equations, Simultaneous Equations of the First Degree, Quadratic Equations
Also in: A First Book in Algebra
- collecting like terms
Taught in: Addition and Subtraction, Multiplication and Division, Quadratic Equations
Also in: A First Book in Algebra
- completing the square
Taught in: Quadratic Equations
- dividing a polynomial by a monomial
Taught in: Multiplication and Division
Also in: A First Book in Algebra
- dividing a polynomial by a polynomial
Taught in: Multiplication and Division
Also in: A First Book in Algebra
- dividing by a fraction
Taught in: Fractions
Also in: A First Book in Algebra
- division
Taught in: Introduction
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy
- elimination
Taught in: Simultaneous Equations of the First Degree
Also in: A First Book in Algebra, First Course in the Theory of Equations, Treatise on Thermodynamics
- extracting the cube root
Taught in: Square and Cube Roots
Also in: A First Book in Algebra
- extracting the root of a fraction
Taught in: Square and Cube Roots
Also in: A First Book in Algebra
- extracting the square root
Taught in: Quadratic Equations, Square and Cube Roots
Also in: A First Book in Algebra, Plane Geometry
- factoring
Taught in: Factors
Also in: A First Book in Algebra
- factoring a perfect square trinomial
Taught in: Factors
Also in: A First Book in Algebra
- factoring a trinomial of the form x^2+ax+b
Taught in: Factors
Also in: A First Book in Algebra
- factoring by grouping
Taught in: Factors
Also in: A First Book in Algebra
- factoring by taking out a common factor
Taught in: Factors
Also in: A First Book in Algebra
- finding the highest common factor
Taught in: Common Factors and Multiples
Also in: A First Book in Algebra
- finding the lowest common multiple
Taught in: Common Factors and Multiples, Simultaneous Equations of the First Degree
Also in: A First Book in Algebra
- grouping digits
Taught in: Square and Cube Roots
- inserting arithmetical means
Taught in: Arithmetical Progression
- multiplication
Taught in: Introduction
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Vector Analysis and Quaternions
- multiplying a compound expression
Taught in: Introduction, Multiplication and Division
Also in: A First Book in Algebra
- multiplying fractions
Taught in: Fractions
Also in: A First Book in Algebra
- multiplying two binomials
Taught in: Multiplication and Division
Also in: A First Book in Algebra
- order of operations
Taught in: Introduction
Also in: An Introduction to Mathematics
- reducing a fraction to an integral or mixed expression
Taught in: Fractions
Also in: A First Book in Algebra
- reducing a fraction to lowest terms
Taught in: Fractions
Also in: A First Book in Algebra
- reducing a mixed expression to a fraction
Taught in: Fractions
Also in: A First Book in Algebra
- reducing fractions to lowest common denominator
Taught in: Fractions
Also in: A First Book in Algebra
- simplifying a complex fraction
Taught in: Fractions
Also in: A First Book in Algebra
- solving an equation
Taught in: Simple Equations, Quadratic Equations
Also in: A First Book in Algebra, Elementary Illustrations of the Differential and Integral Calculus
- stating a problem as an equation
Taught in: Simple Equations, Simultaneous Equations of the First Degree, Quadratic Equations
Also in: A First Book in Algebra
- substitution
Taught in: Simultaneous Equations of the First Degree
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
- subtraction
Taught in: Introduction, Addition and Subtraction, Simultaneous Equations of the First Degree
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, Treatise on Thermodynamics
- transposing the terms
Taught in: Simple Equations
Also in: A First Book in Algebra
- verification
Taught in: Simple Equations, Quadratic Equations
Also in: Elementary Illustrations of the Differential and Integral Calculus, Spherical Trigonometry, for the Use of Colleges and Schools
- writing by inspection
Taught in: Multiplication and Division, Factors
Also in: A First Book in Algebra, Mathematical Recreations and Essays
Quantities (6)
- amount
Taught in: Fractional Equations, Simultaneous Equations of the First Degree
- interest
Taught in: Fractional Equations, Simultaneous Equations of the First Degree
Also in: Calculus Made Easy
- principal
Taught in: Fractional Equations, Simultaneous Equations of the First Degree
- quantity
Taught in: Introduction
Also in: An Introduction to Mathematics
- rate of interest
Taught in: Fractional Equations, Simultaneous Equations of the First Degree
- time
Taught in: Fractional Equations
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays