Number and Its Algebra: Syllabus of Lectures on the Theory of Number and Its Algebra Introductory to a Collegiate Course in AlgebraD.C. Heath, 1903 - 219 σελίδες |
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Σελίδα 14
... method . Without doubt , Hegel has pointed out the true way of logic , if he did not always follow that path . His system is far from fully elaborated ; much is tentative , doubtless much mistaken ; but the fundamental business of logic ...
... method . Without doubt , Hegel has pointed out the true way of logic , if he did not always follow that path . His system is far from fully elaborated ; much is tentative , doubtless much mistaken ; but the fundamental business of logic ...
Σελίδα 23
... method just discussed a distinct name is given to each element in the series of counters ; and in counting the elements , the units , the ones in any discrete magnitude or manifoldness , a one - to - one application is made to this ...
... method just discussed a distinct name is given to each element in the series of counters ; and in counting the elements , the units , the ones in any discrete magnitude or manifoldness , a one - to - one application is made to this ...
Σελίδα 24
... method of Hegel's dialectic of the mathematical catgeories would display magnitude and number as essentially the same ; that is , as co - ordinate transitions to the same ultimate . At least , any object - as a line , a surface , a ...
... method of Hegel's dialectic of the mathematical catgeories would display magnitude and number as essentially the same ; that is , as co - ordinate transitions to the same ultimate . At least , any object - as a line , a surface , a ...
Σελίδα 27
... method remain in our divisions of time , angles , and the circle . For example , the square of 59 is found recorded ( translating into our symbols ) 58.1 , that is , 58 soss and one ( 58 × 60 + 1 ) ; but on the same tablets the cube of ...
... method remain in our divisions of time , angles , and the circle . For example , the square of 59 is found recorded ( translating into our symbols ) 58.1 , that is , 58 soss and one ( 58 × 60 + 1 ) ; but on the same tablets the cube of ...
Σελίδα 29
... method is lost sight of . = 17. Our notation exactly conforms to our system of nu- meration . The symmetry or regularity of the notation , how- ever , is perfect . No such anomaly as is found in the word " eleven " or " twelve " is ...
... method is lost sight of . = 17. Our notation exactly conforms to our system of nu- meration . The symmetry or regularity of the notation , how- ever , is perfect . No such anomaly as is found in the word " eleven " or " twelve " is ...
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addition algebra of number algebraic form application arithmetic ax² C₂ calculation called coefficients commensurable common submultiple commutative Commutative Law complex numbers concept of number consider continuous magnitude corresponding course decimal definition dividing division divisor equal equivalent example exponent expression factors geometry incommensurable indeterminate form integers integral equation integral function inverse involution law of indices less Let the student logarithms manifoldness mathematics matter meaning method metic modulus multiple negative number neomonic number notation nth roots numerical operations primary concept primary number Principle of Continuity problem protomonic number quadratic quadratic surds quantity quotient r₁ radical radical-surds radix fraction ratio relations remainder to 9 result sect Section sense solution Spherical Trigonometry square root statement stirpal subtraction surd symbols synthetic equation text-books theorem tion tive triangle values variables vide zero