The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página vi
... follows hard upon it . And thus the mathematician who is solely employed in the collection of new materials , generally looks down without the least sympathy , nay even sometimes with a proud contempt upon every endeavour to place ...
... follows hard upon it . And thus the mathematician who is solely employed in the collection of new materials , generally looks down without the least sympathy , nay even sometimes with a proud contempt upon every endeavour to place ...
Página vii
... follows from the idea of a general equation , such as the Author has established , that the expressions on each side of the sign of equality ( in such a numeric equation ) represent either one and the same actual number a , or one and ...
... follows from the idea of a general equation , such as the Author has established , that the expressions on each side of the sign of equality ( in such a numeric equation ) represent either one and the same actual number a , or one and ...
Página 12
... follow determinate laws , so that we are precisely for this reason enabled to calculate with these expressions . - a In the same way the quotient or α- -B γ -0 may be reduced to a positive or negative whole number or zero , or , it ...
... follow determinate laws , so that we are precisely for this reason enabled to calculate with these expressions . - a In the same way the quotient or α- -B γ -0 may be reduced to a positive or negative whole number or zero , or , it ...
Página 19
... follows immediately , that when sums and differ- ences represent real numbers , we may , agreeably to the ideas of addition and subtraction , interchange a + b with b + a , as also ( a + b ) + c with ( a + c ) + b , or with a + ( b + c ) ...
... follows immediately , that when sums and differ- ences represent real numbers , we may , agreeably to the ideas of addition and subtraction , interchange a + b with b + a , as also ( a + b ) + c with ( a + c ) + b , or with a + ( b + c ) ...
Página 21
... follows : ( 1 ) If each of two such expressions is equal to a third , they are equal to one another . ( 2 ) When such equal expressions are added to , or sub- tracted from equal expressions they will produce equal expres- sions ...
... follows : ( 1 ) If each of two such expressions is equal to a third , they are equal to one another . ( 2 ) When such equal expressions are added to , or sub- tracted from equal expressions they will produce equal expres- sions ...
Outras edições - Ver tudo
The Spirit of Mathematical Analysis: And Its Relation to a Logical System Martin Ohm Visualização integral - 1843 |
The Spirit of Mathematical Analysis: And Its Relation to a Logical System Martin Ohm Visualização integral - 1843 |
The Spirit of Mathematical Analysis: And Its Relation to a Logical System Martin Ohm Visualização integral - 1843 |
Palavras e frases frequentes
according to powers according to whole actual numbers actual or imaginary actual values algebraical sum applied binomial series binomial theorem broken number coefficients conceived considered contradiction convergent convergent series correct equation denominate numbers denote determinate value differences of whole divergent series divisor enunciated equa equal expressions equal to zero formulæ Hence idea imaginary number imaginary value inadmissible in calculation indenominate infinite number infinite series infinitely multiple-meaning infinitum Instruction-Book laws of operation letters m+n-p magnitudes MARTIN OHM mathematical analysis multiplied natural logarithm negative number negative whole number numerical series obtain Octavo p+qi particular positive number positive or negative positive whole number quotient represents result root SECTION sense of sect series proceeding according shew signification simplest value single-meaning summand symbol transformed unknown expression value in cyphers values of log whole functions whole or broken whole powers