Historical Introduction to Mathematical Literature
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In our eReader you can find the full English version of the book. Read Historical Introduction to Mathematical Literature Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Historical Introduction to Mathematical Literature
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To quickly assess the difficulty of the text, read a short excerpt:
32 (1846), p. 100.
t An algebraic integer is a root of the equation f(x) = o, when all its co- efficients are rational integers and the first coefficient is unity.
206 MATHEMATICAL LITERATURE [vi.
the ratios AM, BM, CM to AB are likewise algebraic numbers, then is the space made up of points M, as is easy to see, everywhere discontinuous ; but in spite of this discontinuity, and despite the existence of gaps in this space, all constructions that occur in Euclid's Elements, can, so far as I can ...see, be just as accurately effected as in a perfectly continuous space ; the discon- tinuity of this space would not be noticed in Euclid's science, would not be felt at all." * 42. Invariants. — In the study of elementary analytic geometry it is desirable to determine the fundamental properties of the curves represented by the general equa- tion of the second degree in two variables, which may be written as follows : ax 2 + bxy + cf + dx + ey + / = o.
By assigning to the various coefficients of this equation different real numerical values, there results a multiply infinite number of different numerical equations, each of which represents a certain locus, real or imaginary.
What to read after Historical Introduction to Mathematical Literature?
You can find similar books in the "Read Also" column, or choose other free books by Miller, G. A. (George Abram), 1863-1951 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
32 (1846), p. 100.
t An algebraic integer is a root of the equation f(x) = o, when all its co- efficients are rational integers and the first coefficient is unity.
206 MATHEMATICAL LITERATURE [vi.
the ratios AM, BM, CM to AB are likewise algebraic numbers, then is the space made up of points M, as is easy to see, everywhere discontinuous ; but in spite of this discontinuity, and despite the existence of gaps in this space, all constructions that occur in Euclid's Elements, can, so far as I can ...see, be just as accurately effected as in a perfectly continuous space ; the discon- tinuity of this space would not be noticed in Euclid's science, would not be felt at all." * 42. Invariants. — In the study of elementary analytic geometry it is desirable to determine the fundamental properties of the curves represented by the general equa- tion of the second degree in two variables, which may be written as follows : ax 2 + bxy + cf + dx + ey + / = o.
By assigning to the various coefficients of this equation different real numerical values, there results a multiply infinite number of different numerical equations, each of which represents a certain locus, real or imaginary.
What to read after Historical Introduction to Mathematical Literature?
You can find similar books in the "Read Also" column, or choose other free books by Miller, G. A. (George Abram), 1863-1951 to read onlineMoreLess
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