Higher Mathematics for Chemical Students
Higher Mathematics for Chemical Students
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In our eReader you can find the full English version of the book. Read Higher Mathematics for Chemical Students 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 Higher Mathematics for Chemical Students
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Root of a m . Thus a\ = i/a/al = f/a, a* = f/aF. Interpretation of the zero index.
a m x a n = a m + n for all values of m and n. Put m = . *. A x a n = a + w = a w . '. A = — = 1.
a Thus any finite quantity raised to zero power equals unity. (Notice that we have not yet found a meaning for 0°, which is indeterminate. ) Interpretation of a negative index. In the equation a m x a n = a m + n, put m = - n f . -. A' n x a n = a~ n + n = a° = 1. Thence a ~ n = l/a n . A ~ n is therefore the recipro...cal of a n . Thus a " 2 = 1/a 2, a "* - 1/aft = 1/ V^ Results in indices ; — a m x a n = a m + " a m /a n = a""" a- w = l/a w i _ a M = J^a w» a n = #a w a°= 1.
72 HIGHEE MATHEMATICS 29. EXPONENTIAL FUNCTIONS Any function which contains the independent variable in the index is called an Exponential Function.
Examples : — a x, (a + x) " x, a x .
Before proceeding to the differentiation of such func- tions, we will give a brief account of the properties of logarithms. The student is assumed to be acquainted with the elementary treatment.
What to read after Higher Mathematics for Chemical Students?
You can find similar books in the "Read Also" column, or choose other free books by J Riddick James Riddick Partington to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Root of a m . Thus a\ = i/a/al = f/a, a* = f/aF. Interpretation of the zero index.
a m x a n = a m + n for all values of m and n. Put m = . *. A x a n = a + w = a w . '. A = — = 1.
a Thus any finite quantity raised to zero power equals unity. (Notice that we have not yet found a meaning for 0°, which is indeterminate. ) Interpretation of a negative index. In the equation a m x a n = a m + n, put m = - n f . -. A' n x a n = a~ n + n = a° = 1. Thence a ~ n = l/a n . A ~ n is therefore the recipro...cal of a n . Thus a " 2 = 1/a 2, a "* - 1/aft = 1/ V^ Results in indices ; — a m x a n = a m + " a m /a n = a""" a- w = l/a w i _ a M = J^a w» a n = #a w a°= 1.
72 HIGHEE MATHEMATICS 29. EXPONENTIAL FUNCTIONS Any function which contains the independent variable in the index is called an Exponential Function.
Examples : — a x, (a + x) " x, a x .
Before proceeding to the differentiation of such func- tions, we will give a brief account of the properties of logarithms. The student is assumed to be acquainted with the elementary treatment.
What to read after Higher Mathematics for Chemical Students?
You can find similar books in the "Read Also" column, or choose other free books by J Riddick James Riddick Partington to read onlineMoreLess
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