The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página iii
... whole of Mathematics from the earliest to the most advanced stage ... all his mathematical writings . The great clearness and precision manifested in these ... power to improve the foundations upon which it rests , as Prof. Ohm . A life ...
... whole of Mathematics from the earliest to the most advanced stage ... all his mathematical writings . The great clearness and precision manifested in these ... power to improve the foundations upon which it rests , as Prof. Ohm . A life ...
Página vii
... powers of any such supporter , i . e . provided that they have the form of whole functions . From these general equations , on which the whole of mathe- matical analysis turns , and which may be also aptly termed formal equations , we ...
... powers of any such supporter , i . e . provided that they have the form of whole functions . From these general equations , on which the whole of mathe- matical analysis turns , and which may be also aptly termed formal equations , we ...
Página viii
... power , and that the correct one . If we put for n in this equation , it becomes n - 1 g n2I 2 ! ' n2 3 ! ' n3 + 2 n ... every positive whole number r . It is usually said that this is the case for n = ∞ , and it is there- fore usually ...
... power , and that the correct one . If we put for n in this equation , it becomes n - 1 g n2I 2 ! ' n2 3 ! ' n3 + 2 n ... every positive whole number r . It is usually said that this is the case for n = ∞ , and it is there- fore usually ...
Página x
... all calculation , the second Essay will have to continue these general investigations , but at the same time to bestow ... powers and loga- rithms in perfect safety , inasmuch as the above formula which are those usually employed , are ...
... all calculation , the second Essay will have to continue these general investigations , but at the same time to bestow ... powers and loga- rithms in perfect safety , inasmuch as the above formula which are those usually employed , are ...
Página xii
... whole numbers Three simplest " Equations for whole numbers " .... 3. General " Sum " ; general " Difference ... Power , with 5 Formula ; Idea of Difference - Power 33 25. Idea of Potentiation ... 26. Idea of Positive or Absolute Root 27 ...
... whole numbers Three simplest " Equations for whole numbers " .... 3. General " Sum " ; general " Difference ... Power , with 5 Formula ; Idea of Difference - Power 33 25. Idea of Potentiation ... 26. Idea of Positive or Absolute Root 27 ...
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