Any one knows where to get detailed and understandable notes on infinite Sequences and Series?
Defining whether a series is convergence or divergence, and function like power series, Taylor,Maclaurin and binomial series...
The word "infinity" is making me confused...Is it a "0"
Infinity is a concept, the concept of a quantity greater than any number. Zero is also a concept, note that the Roman Numeral system had no symbol for zero because the concept had not been realized. Mathmaticlly, 0*infinity = N where N is any number (since it can be any number, 1 is usually chosen).
I thought any number times ZERO was zero ?
after all NO millions doesn't make you very rich !
shermaine
You appear to be talking mostly degree level maths here but I thought infinity was a simple concept to describe a quantity that 'went on for ever', such as time or space; neither have a known limit.
The symbol to use is a '8' on its side, like two overlapping zeros, sort of 'oo' but without the white space between them.
Try a book like Engineering Mathematics or even Further Engineering Mathematics, both by K.A. Stroud and published by Macmillan.
**broken link removed**
an infinte series is the sum of a sequence that doesn't ever stop (has an
infinite number of terms)
example
( _ will mean "subscript")
consider the sequence
a_n=n
means the nth term of the sequence = the term number
a_1=1
a_2=2
etc...
SUM_0^infinty a_n is the infinte series related to the sequence a_n
the study of this series is only important if it converges, which is determined by a number of tests (nth term test, p-series test, ratio test (by far the MOST important)
these explanations are much more lengthy buy can be found in any calculus book. i would recommend a calculus book before an engineering mathmatics book.
good luck!
feel free to contact me at doriad@rpi.edu if you have further questions