By George Shaffner
Even if you know it or now not, numbers are everywhere--and indispensable to just about each side of your lifestyles . . . out of your subsequent bring up in pay to the inevitable upward push of inflation, your weekly kin finances for your finish of the nationwide debt. And as George Shaffner amazingly unearths, there are discerning solutions (and a superb degree of convenience) in numbers. within the mathematics of lifestyles, he applies the elemental ideas of mathematics--addition, subtraction, multiplication, and division--to the most profound and simply simple perplexing questions of our time.
Illuminated with anecdotes, humor, and perception, each one bankruptcy explains a distinct a part of lifestyles that may be understood purely throughout the magic of numbers. no matter if it's an unconventional concept on why extra issues get it wrong than correct, an easy calculation of the way a lot it is going to rate you to smoke for a life-time, why crime (accumulatively) doesn't pay, or a glimpse into the chance of lifestyles after loss of life, this enlightening and lucidly reasoned publication will endlessly switch how you take into consideration numbers--and the realm round you.
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Extra info for The Arithmetic of Life and Death
Example text
01) besitzt un d d ie Koeffizie nte n (Vorzä hlen) " 11 bis " 0 zahlen sind, d ann sag t man, dass y VOll XpO/Y/l omial abl/iillgt. 01) ha t, d ann nennt ma n sie ein Polynom n-ten Grades - oder au ch eine ganze rationale Funktion. 02) an der Stelle x=2. 03) [2] Die Gefah r, d abei du rch unsachgemäßen und unk enzentrie rten Gebra uch der Taste einen falschen Wert auszur echnen, ist riesengroß. Kenn er dagegen e rinne rn sich an di e geniale Idee von W. G. 05) l'Oll innen /lach außen auszuw erte n.
27) abgelesen werden. 7 Logarithmengesetze Eigen tlich arbe itet die Mathematik nu r mit zwei gauz wichtigen LogaritlJmclIgescfzell, die den Logarithmus VOll Produkten und den Logarifllmus VOll Potenzen be treffen . Der Logaritlmll/s eines Produktes ist d ie Summe der Logarithmen der Faktoren . 31) logIx'} = y ,log,x Bevor wir einige Anwendungen die ser beiden Gesetze betrach ten, wolle n wir versuchen, sie herzule iten. h . wir arbeite n mit d em natürlichen Logarithmus. 30) und bet rachten zuers t d eren rechte Seite.
Sie lässt sich also auch anse he n als Polynom n-tcn Grades mit 11 =0. Deshalb bezeichnet man solche Funkt ion en als Polynom nullte" Grades. Der Gra ph eines Polynom s nu llten Grades ist eine Gerade, d ie stets parallel zur waagerechten Achse verläu ft u nd die senkrechte Achse bei y=ao schne ide t. Als Spez ialfall eines Polynoms nu llten Grades ergibt sich die N ull-Funktion y=j(x )=O; ih r Graph ist die waagerechte Achse. 19) [ (x ) = Q·b"K, b > 0, b "" I vor liegt. Dabei sind c, b u nd c Zahlen, b ist d ie Basis der Exponen tialfunktion.