The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página iv
... equations " ( Zahlen - Gleichungen ) mentioned in the preface , p . vii . , must be distinguished from those equations com- monly termed " numerical " ( numerische Gleichungen ) as having coefficients which are either positive or ...
... equations " ( Zahlen - Gleichungen ) mentioned in the preface , p . vii . , must be distinguished from those equations com- monly termed " numerical " ( numerische Gleichungen ) as having coefficients which are either positive or ...
Página vii
... equation , it 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 ...
... equation , it 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 ...
Página viii
... equation , only a supporter of the operations , and still perfectly insignificant . This may as well be illustrated here by an example . In ( sect . 68 ) of this Essay , we have proved that the binomial theorem holds perfectly generally ...
... equation , only a supporter of the operations , and still perfectly insignificant . This may as well be illustrated here by an example . In ( sect . 68 ) of this Essay , we have proved that the binomial theorem holds perfectly generally ...
Página ix
... equation . But if we consider as no longer insignificant , but as either actual or imaginary , and therefore of the ... equation , it is yet not incorrect for any actual or imaginary value of z as a numeric equation , and and also that ...
... equation . But if we consider as no longer insignificant , but as either actual or imaginary , and therefore of the ... equation , it is yet not incorrect for any actual or imaginary value of z as a numeric equation , and and also that ...
Página x
... equation which is only correct as a numeric equa- tion , i . e . which is only correct when the series are convergent . A definite Integral always presupposes numeric values ; con- sequently equations in which definite integrals occur ...
... equation which is only correct as a numeric equa- tion , i . e . which is only correct when the series are convergent . A definite Integral always presupposes numeric values ; con- sequently equations in which definite integrals occur ...
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