modern mathematic an elementary apoproach1970 |
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Σελίδα 26
... defined relative to these basic undefined terms. Bertrand Russell has remarked that formal definitions in mathematics are simply statements of symbolic abbreviations. Thus, a formal definition may be regarded as a pattern defining how a ...
... defined relative to these basic undefined terms. Bertrand Russell has remarked that formal definitions in mathematics are simply statements of symbolic abbreviations. Thus, a formal definition may be regarded as a pattern defining how a ...
Σελίδα 42
... definition of intersection, we start with two sets and perform on them some operation to get a third set. Since the operation is defined so that it applies to only two sets at a time, it is called a binary operation. This operation of ...
... definition of intersection, we start with two sets and perform on them some operation to get a third set. Since the operation is defined so that it applies to only two sets at a time, it is called a binary operation. This operation of ...
Σελίδα 82
... defined as repeated addition. For example, 3 . 2 could mean 2 + 2 + 2 or 6. However, in this chapter the definition of multiplication will be given in terms of sets. This form of the definition facilitates the development of the ...
... defined as repeated addition. For example, 3 . 2 could mean 2 + 2 + 2 or 6. However, in this chapter the definition of multiplication will be given in terms of sets. This form of the definition facilitates the development of the ...
Περιεχόμενα
Sections 15 of Chapter | 3 |
Sets and Relations | 33 |
The System of Whole Numbers | 69 |
Πνευματικά δικαιώματα | |
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Additive identity additive inverse algorithm angles answer arithmetic mean Associative property Axiom called cartesian product Chapter Seven circle closed curve Commutative property concept congruent Consider counting numbers decimal defined Definition denoted digits discussion distributive property divide elements equation equivalent Exercise Set factors Figure Find Fractions and Rational frequency given greatest common divisor illustrated indicated inductive reasoning intersection irrational number least common multiple line segment mathematical system measure median mod 9 multiplicative inverse natural numbers number line numbers less Numeration Systems obtained one-to-one correspondence operation of addition ordered pairs plane polygon positive integer preceding prime numbers prism probability Proof property of addition property of multiplication prove rational numbers real numbers represent sample space set of points solution set square subset subtraction symbol system of integers system of whole Table Theorem Transitive property triangle true Venn diagrams verify whole numbers