The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
No interior do livro
Resultados 1-5 de 49
Página vii
... infinite series , provided that they pro ceed according to the powers of any such supporter , i . e . provided that ... infinite series occur in such a numeric equation they must be considered as convergent , while in the general ...
... infinite series , provided that they pro ceed according to the powers of any such supporter , i . e . provided that ... infinite series occur in such a numeric equation they must be considered as convergent , while in the general ...
Página x
... infinite series which may occur in them is an indispensable condition , whereas the condition of convergence with respect to a general series in general investigations , such as must be neces- sarily first established as the foundation ...
... infinite series which may occur in them is an indispensable condition , whereas the condition of convergence with respect to a general series in general investigations , such as must be neces- sarily first established as the foundation ...
Página xi
... infinite . series as are yet perfectly general , and precisely for that reason not convergent . In the " Tracts upon some parts of higher Mathematics " ( Aufsätze aus dem Gebiete der höheren Mathematik , Berlin , 1823 ) , will be found ...
... infinite . series as are yet perfectly general , and precisely for that reason not convergent . In the " Tracts upon some parts of higher Mathematics " ( Aufsätze aus dem Gebiete der höheren Mathematik , Berlin , 1823 ) , will be found ...
Página xiii
... Infinite Series proceeding according to whole powers of a ... 44. Identity of the Coefficients when the series are identical .. 49 45. Addition , Subtraction , Multiplication , and Division of two such in- finite series 46. Potentiation ...
... Infinite Series proceeding according to whole powers of a ... 44. Identity of the Coefficients when the series are identical .. 49 45. Addition , Subtraction , Multiplication , and Division of two such in- finite series 46. Potentiation ...
Página xiv
... Infinite series for logarithms 68. The perfectly General Binomial Theorem ..... 70. Formulæ for general calculation with general ( actual or imaginary ) 69. Evaluation of π arguments ( arcs ) 71. Concluding Remarks ..... APPENDIX : — 72 ...
... Infinite series for logarithms 68. The perfectly General Binomial Theorem ..... 70. Formulæ for general calculation with general ( actual or imaginary ) 69. Evaluation of π arguments ( arcs ) 71. Concluding Remarks ..... APPENDIX : — 72 ...
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