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 (62)
- affected quadratic equation
Taught in: SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- algebra
Taught in: SIMULTANEOUS EQUATIONS
Also in: An Introduction to Mathematics, Mathematical Recreations and Essays, The First Steps in Algebra, Vector Analysis and Quaternions
- algebraic expression
Taught in: ALGEBRAIC EXPRESSIONS, ADDITION
Also in: Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- algebraic fraction
Taught in: REDUCTION OF FRACTIONS, OPERATIONS UPON FRACTIONS, COMPLEX FRACTIONS
Also in: Calculus Made Easy, The First Steps in Algebra
- algebraic number
Taught in: MODES OF REPRESENTING THE OPERATIONS
Also in: The First Steps in Algebra
- algebraic sum
Taught in: ADDITION
Also in: The First Steps in Algebra
- arithmetic
Taught in: PREFACE
Also in: An Introduction to Mathematics, Mathematical Recreations and Essays, Vector Analysis and Quaternions
- arrangement
Taught in: ALGEBRAIC EXPRESSIONS
Also in: Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- binomial
Taught in: ALGEBRAIC EXPRESSIONS, MULTIPLICATION, FACTORING
Also in: The First Steps in Algebra
- coefficient
Taught in: MODES OF REPRESENTING THE OPERATIONS, ADDITION, MULTIPLICATION, DIVISION, EQUATIONS
Also in: Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, The First Steps in Algebra
- common factor
Taught in: FACTORING, GREATEST COMMON FACTOR
Also in: The First Steps in Algebra
- common multiple
Taught in: LEAST COMMON MULTIPLE
Also in: The First Steps in Algebra
- complete divisor
Taught in: DIVISION
Also in: The First Steps in Algebra
- complex fraction
Taught in: COMPLEX FRACTIONS
Also in: The First Steps in Algebra
- cube
Taught in: MODES OF REPRESENTING THE OPERATIONS, FACTORING
Also in: Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, The First Steps in Algebra
- degree
Taught in: ALGEBRAIC EXPRESSIONS
Also in: Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, The First Steps in Algebra
- difference
Taught in: SUBTRACTION
Also in: Elementary Illustrations of the Differential and Integral Calculus
- dividend
Taught in: DIVISION
Also in: The First Steps in Algebra
- divisibility
Taught in: DIVISION
Also in: A Course of Pure Mathematics, The First Steps in Algebra
- divisor
Taught in: DIVISION
Also in: The First Steps in Algebra
- equality
Taught in: EQUATIONS
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, The First Steps in Algebra
- equation
Taught in: EQUATIONS, SIMULTANEOUS EQUATIONS
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, The First Steps in Algebra
- equivalent fractions
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS, OPERATIONS UPON FRACTIONS
- exponent
Taught in: MODES OF REPRESENTING THE OPERATIONS, ALGEBRAIC EXPRESSIONS, MULTIPLICATION, DIVISION
Also in: Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra, Vector Analysis and Quaternions
- factor
Taught in: FACTORING, GREATEST COMMON FACTOR, LEAST COMMON MULTIPLE
Also in: A Course of Pure Mathematics, Calculus Made Easy, First Course in the Theory of Equations, Mathematical Recreations and Essays, The First Steps in Algebra
- fractional equation
Taught in: EQUATIONS, SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- highest common factor
Taught in: GREATEST COMMON FACTOR, REDUCTION OF FRACTIONS, COMPLEX FRACTIONS
Also in: A Course of Pure Mathematics, First Course in the Theory of Equations, The First Steps in Algebra
- homogeneous polynomial
Taught in: ALGEBRAIC EXPRESSIONS
Also in: Mathematical Recreations and Essays
- like terms
Taught in: ALGEBRAIC EXPRESSIONS, ADDITION, MULTIPLICATION
Also in: The First Steps in Algebra
- linear equation
Taught in: SIMULTANEOUS EQUATIONS
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, First Course in the Theory of Equations, The First Steps in Algebra
- lowest common denominator
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS, OPERATIONS UPON FRACTIONS
Also in: The First Steps in Algebra
- lowest common multiple
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS, COMPLEX FRACTIONS, EQUATIONS
Also in: The First Steps in Algebra
- lowest terms
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS, OPERATIONS UPON FRACTIONS, COMPLEX FRACTIONS
Also in: A Course of Pure Mathematics, The First Steps in Algebra
- member
Taught in: EQUATIONS
Also in: The First Steps in Algebra
- minuend
Taught in: SUBTRACTION
Also in: The First Steps in Algebra
- mixed number
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS
- monomial
Taught in: ALGEBRAIC EXPRESSIONS, MULTIPLICATION, DIVISION, FACTORING
Also in: The First Steps in Algebra
- multiplicand
Taught in: MULTIPLICATION
- multiplier
Taught in: MULTIPLICATION
Also in: Vector Analysis and Quaternions
- negative number
Taught in: MODES OF REPRESENTING THE OPERATIONS, ADDITION, SUBTRACTION, MULTIPLICATION
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- number line
Taught in: SUBTRACTION
Also in: An Introduction to Mathematics, The First Steps in Algebra
- numerical value
Taught in: ALGEBRAIC EXPRESSIONS, MULTIPLICATION
Also in: The First Steps in Algebra
- parenthesis
Taught in: SUBTRACTION
Also in: An Introduction to Mathematics, The First Steps in Algebra
- perfect square
Taught in: FACTORING
Also in: An Introduction to Mathematics, The First Steps in Algebra
- polynomial
Taught in: ALGEBRAIC EXPRESSIONS, ADDITION, SUBTRACTION, MULTIPLICATION, DIVISION, FACTORING
Also in: A Course of Pure Mathematics, Calculus Made Easy, First Course in the Theory of Equations, The First Steps in Algebra
- positive number
Taught in: MODES OF REPRESENTING THE OPERATIONS, ADDITION, MULTIPLICATION
Also in: An Introduction to Mathematics, The First Steps in Algebra
- power
Taught in: MODES OF REPRESENTING THE OPERATIONS, MULTIPLICATION
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- prime factor
Taught in: GREATEST COMMON FACTOR, LEAST COMMON MULTIPLE
Also in: A Course of Pure Mathematics, Mathematical Recreations and Essays
- product
Taught in: MULTIPLICATION
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra, Vector Analysis and Quaternions
- pure quadratic equation
Taught in: SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- quadratic equation
Taught in: SIMULTANEOUS 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, The First Steps in Algebra
- quotient
Taught in: DIVISION
Also in: Calculus Made Easy, The First Steps in Algebra, Vector Analysis and Quaternions
- radical sign
Taught in: DIVISION
Also in: The First Steps in Algebra
- remainder
Taught in: SUBTRACTION, DIVISION
Also in: First Course in the Theory of Equations, Mathematical Recreations and Essays, The First Steps in Algebra
- root
Taught in: DIVISION, FACTORING
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, The First Steps in Algebra
- simultaneous equations
Taught in: SIMULTANEOUS EQUATIONS
Also in: Calculus Made Easy, First Course in the Theory of Equations, The First Steps in Algebra
- square
Taught in: MODES OF REPRESENTING THE OPERATIONS, FACTORING
Also in: Calculus Made Easy, Plane Geometry, The First Steps in Algebra, Vector Analysis and Quaternions
- subtrahend
Taught in: SUBTRACTION
Also in: The First Steps in Algebra
- term
Taught in: ALGEBRAIC EXPRESSIONS, ADDITION
Also in: A Course of Pure Mathematics, Plane Geometry, The First Steps in Algebra
- trial divisor
Taught in: DIVISION
Also in: The First Steps in Algebra
- trinomial
Taught in: ALGEBRAIC EXPRESSIONS, FACTORING
Also in: The First Steps in Algebra, Vector Analysis and Quaternions
- unknown
Taught in: EQUATIONS, SIMULTANEOUS EQUATIONS
Also in: An Introduction to Mathematics, Calculus Made Easy, First Course in the Theory of Equations, The First Steps in Algebra
Theorems (14)
- binomial theorem
Taught in: MULTIPLICATION
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Vector Analysis and Quaternions
- cube of a sum
Taught in: DIVISION
Also in: The First Steps in Algebra
- difference of two cubes
Taught in: FACTORING, OPERATIONS UPON FRACTIONS
Also in: The First Steps in Algebra
- difference of two squares
Taught in: FACTORING, OPERATIONS UPON FRACTIONS
Also in: Mathematical Recreations and Essays, The First Steps in Algebra
- fundamental principle of fractions
Taught in: OPERATIONS UPON FRACTIONS
Also in: The First Steps in Algebra
- index law in division
Taught in: DIVISION
Also in: The First Steps in Algebra
- index law in multiplication
Taught in: MULTIPLICATION
Also in: The First Steps in Algebra
- law of signs in division
Taught in: DIVISION
Also in: The First Steps in Algebra
- law of signs in multiplication
Taught in: MULTIPLICATION, DIVISION
Also in: The First Steps in Algebra
- removing parentheses preceded by minus
Taught in: SUBTRACTION
Also in: The First Steps in Algebra
- removing parentheses preceded by plus
Taught in: SUBTRACTION
Also in: The First Steps in Algebra
- square of a sum
Taught in: DIVISION, FACTORING
Also in: The First Steps in Algebra
- sum of two cubes
Taught in: FACTORING, OPERATIONS UPON FRACTIONS
Also in: The First Steps in Algebra
- transposition rule
Taught in: EQUATIONS
Also in: The First Steps in Algebra
Methods (41)
- adding fractions
Taught in: LEAST COMMON MULTIPLE, OPERATIONS UPON FRACTIONS, COMPLEX FRACTIONS
Also in: The First Steps in Algebra
- addition
Taught in: MODES OF REPRESENTING THE OPERATIONS, ADDITION, SUBTRACTION, MULTIPLICATION
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, The First Steps in Algebra
- clearing an equation of fractions
Taught in: EQUATIONS, SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- collecting like terms
Taught in: ADDITION, MULTIPLICATION, EQUATIONS
Also in: The First Steps in Algebra
- dividing a fraction by an expression
Taught in: OPERATIONS UPON FRACTIONS
- dividing a monomial by a monomial
Taught in: DIVISION
- dividing a polynomial by a monomial
Taught in: DIVISION, FACTORING
Also in: The First Steps in Algebra
- dividing a polynomial by a polynomial
Taught in: DIVISION, FACTORING, COMPLEX FRACTIONS, SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- dividing by a fraction
Taught in: LEAST COMMON MULTIPLE, OPERATIONS UPON FRACTIONS, COMPLEX FRACTIONS
Also in: The First Steps in Algebra
- division
Taught in: MODES OF REPRESENTING THE OPERATIONS, DIVISION
Also in: A Course of Pure Mathematics, Calculus Made Easy, The First Steps in Algebra
- elimination
Taught in: SIMULTANEOUS EQUATIONS
Also in: First Course in the Theory of Equations, The First Steps in Algebra, Treatise on Thermodynamics
- extracting the cube root
Taught in: DIVISION, FACTORING
Also in: The First Steps in Algebra
- extracting the root of a fraction
Taught in: DIVISION, OPERATIONS UPON FRACTIONS
Also in: The First Steps in Algebra
- extracting the root of a monomial
Taught in: DIVISION
- extracting the square root
Taught in: DIVISION, SIMULTANEOUS EQUATIONS
Also in: Plane Geometry, The First Steps in Algebra
- factoring
Taught in: FACTORING, LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS, OPERATIONS UPON FRACTIONS, COMPLEX FRACTIONS, SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- factoring a perfect square trinomial
Taught in: FACTORING
Also in: The First Steps in Algebra
- factoring a trinomial of the form x^2+ax+b
Taught in: FACTORING
Also in: The First Steps in Algebra
- factoring by grouping
Taught in: FACTORING
Also in: The First Steps in Algebra
- factoring by taking out a common factor
Taught in: FACTORING
Also in: The First Steps in Algebra
- finding the highest common factor
Taught in: GREATEST COMMON FACTOR, SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- finding the lowest common multiple
Taught in: LEAST COMMON MULTIPLE
Also in: The First Steps in Algebra
- multiplication
Taught in: MODES OF REPRESENTING THE OPERATIONS, MULTIPLICATION, DIVISION
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, The First Steps in Algebra, Vector Analysis and Quaternions
- multiplying a compound expression
Taught in: MULTIPLICATION, DIVISION
Also in: The First Steps in Algebra
- multiplying a fraction by an expression
Taught in: OPERATIONS UPON FRACTIONS
- multiplying a monomial by a monomial
Taught in: MULTIPLICATION
- multiplying fractions
Taught in: LEAST COMMON MULTIPLE, OPERATIONS UPON FRACTIONS, COMPLEX FRACTIONS
Also in: The First Steps in Algebra
- multiplying two binomials
Taught in: MULTIPLICATION, FACTORING
Also in: The First Steps in Algebra
- raising a fraction to a power
Taught in: OPERATIONS UPON FRACTIONS
- raising a monomial to a power
Taught in: MULTIPLICATION
- reducing a fraction to an integral or mixed expression
Taught in: REDUCTION OF FRACTIONS
Also in: The First Steps in Algebra
- reducing a fraction to lowest terms
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS
Also in: The First Steps in Algebra
- reducing a mixed expression to a fraction
Taught in: REDUCTION OF FRACTIONS
Also in: The First Steps in Algebra
- reducing fractions to lowest common denominator
Taught in: LEAST COMMON MULTIPLE, REDUCTION OF FRACTIONS
Also in: The First Steps in Algebra
- simplifying a complex fraction
Taught in: LEAST COMMON MULTIPLE, COMPLEX FRACTIONS
Also in: The First Steps in Algebra
- solving an equation
Taught in: EQUATIONS, SIMULTANEOUS EQUATIONS
Also in: Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- stating a problem as an equation
Taught in: ALGEBRAIC EXPRESSIONS, EQUATIONS, SIMULTANEOUS EQUATIONS
Also in: The First Steps in Algebra
- substitution
Taught in: ALGEBRAIC EXPRESSIONS, SIMULTANEOUS EQUATIONS
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- subtraction
Taught in: MODES OF REPRESENTING THE OPERATIONS, SUBTRACTION, MULTIPLICATION
Also in: A Course of Pure Mathematics, Calculus Made Easy, The First Steps in Algebra, Treatise on Thermodynamics
- transposing the terms
Taught in: EQUATIONS
Also in: The First Steps in Algebra
- writing by inspection
Taught in: OPERATIONS UPON FRACTIONS
Also in: Mathematical Recreations and Essays, The First Steps in Algebra