The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página 4
... necessarily convergent , is a circumstance of which the Author of this Essay has not been at all able to convince himself ; on the contrary , it is his opinion that series , as long as they are GENERAL , so that we cannot speak of their ...
... necessarily convergent , is a circumstance of which the Author of this Essay has not been at all able to convince himself ; on the contrary , it is his opinion that series , as long as they are GENERAL , so that we cannot speak of their ...
Página 6
... necessarily = 4 ; because the factors of the product 4.4 may perhaps be unequal , one representing +2 , and the other -2 , so that we should have -4 as the correct value of the product √4.√4 . In the above cited investigations of ...
... necessarily = 4 ; because the factors of the product 4.4 may perhaps be unequal , one representing +2 , and the other -2 , so that we should have -4 as the correct value of the product √4.√4 . In the above cited investigations of ...
Página 7
... necessarily solve the problem . " For if we allowed such a conclusion , it would be no better than the following : " All men are mortal beings , therefore all mortal beings are men . " Hence whenever an algebraical problem has been ...
... necessarily solve the problem . " For if we allowed such a conclusion , it would be no better than the following : " All men are mortal beings , therefore all mortal beings are men . " Hence whenever an algebraical problem has been ...
Página 10
... exhibit his views to such persons , in as short and comprehensive a manner as possible , and at the same time to point out the most important conclusions respecting a well assured and necessarily correct me- thod 10 INTRODUCTION ,
... exhibit his views to such persons , in as short and comprehensive a manner as possible , and at the same time to point out the most important conclusions respecting a well assured and necessarily correct me- thod 10 INTRODUCTION ,
Página 11
... necessarily correct me- thod of working with infinite series . Now the author is convinced that all the difficulties which are met with in mathematical analysis , are to be attributed wholly and solely to the very first fundamental view ...
... necessarily correct me- thod of working with infinite series . Now the author is convinced that all the difficulties which are met with in mathematical analysis , are to be attributed wholly and solely to the very first fundamental view ...
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