The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página vii
... convergent , while in the general equation infinite series will occur which cannot be termed either convergent or divergent , precisely because every letter is , in a general equation , only a a3 THE AUTHOR'S PREFACE . vii.
... convergent , while in the general equation infinite series will occur which cannot be termed either convergent or divergent , precisely because every letter is , in a general equation , only a a3 THE AUTHOR'S PREFACE . vii.
Página ix
... convergent for any such value of z . n ( 1 + 271 ) , * n Finally if the terms of these series had not these large denominators r ! ( that is , 1.2.3.4.5.6 ... r ) which cause the series to converge for any value of z , the above ...
... convergent for any such value of z . n ( 1 + 271 ) , * n Finally if the terms of these series had not these large denominators r ! ( that is , 1.2.3.4.5.6 ... r ) which cause the series to converge for any value of z , the above ...
Página x
... convergent . A definite Integral always presupposes numeric values ; con- sequently equations in which definite integrals occur are seldom or never correct as general ( formal ) equations , but can only be admitted as numeric equations ...
... convergent . A definite Integral always presupposes numeric values ; con- sequently equations in which definite integrals occur are seldom or never correct as general ( formal ) equations , but can only be admitted as numeric equations ...
Página xi
... convergent . In the " Tracts upon some parts of higher Mathematics " ( Aufsätze aus dem Gebiete der höheren Mathematik , Berlin , 1823 ) , will be found some applications of these elementary , but assured methods of calculation ...
... convergent . In the " Tracts upon some parts of higher Mathematics " ( Aufsätze aus dem Gebiete der höheren Mathematik , Berlin , 1823 ) , will be found some applications of these elementary , but assured methods of calculation ...
Página xiii
... convergent series 54 19 888 2 50 52 53 62 48. Practical rules for calculating with infinite series SIXTH CHAPTER , pp . 63—100 . 49. Idea of the Natural Power e * , where x is any actual or imaginary number . Three Formulæ for such ...
... convergent series 54 19 888 2 50 52 53 62 48. Practical rules for calculating with infinite series SIXTH CHAPTER , pp . 63—100 . 49. Idea of the Natural Power e * , where x is any actual or imaginary number . Three Formulæ for such ...
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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