By Eli Maor

He proof On dossier Calculus instruction manual brings the basics of calculus to scholars in a simple and obtainable layout. an excellent primer for the topic, this e-book takes all of the fundamentals of calculus and is helping scholars comprehend and practice them of their paintings.

Show description

Read or Download The Facts On File Calculus Handbook (Facts on File Science Library) PDF

Best analysis books

Systems Analysis and Modeling in Defense: Development, Trends, and Issues

This publication includes the court cases of an interna­ tional symposium dedicated to Modeling and research of security procedures within the context of land/air war. It was once subsidized through Panel VII (on protection functions of Operational learn) of NATO's safeguard examine workforce (DRG) and came about 27-29 July 1982 at NATO headquarters in Brussels.

Extra info for The Facts On File Calculus Handbook (Facts on File Science Library)

Sample text

Thus the set of real numbers (and also the set of imaginary numbers) is a subset of the set of complex numbers. See also POLAR FORM OF A COMPLEX NUMBER. composite function A combination of two or more functions so that the output of one function is the input to the other. Symbolically, if y = f(u) and u = g(x), then y = f(g(x)) is the composition of g and ƒ (in that order). — For example, the function y = √1 + x can be regarded as a composition of the functions u = g(x) = 1 + x and y = f(u) = √– u.

For example, the expression y = xx, defined for x > 0, takes the form 00 when x = 0, so we take the natural logarithm of both sides and get ln y = x ln x = (ln x)/(1/x), which takes the form (–∞)/∞ at x = 0 (it can be shown that lim xx = 1 x→0 as x → 0 through positive values). See also L’HOSPITAL’S RULE. n Σ ai. The choice of n n letter for the summation index is immaterial; that is, Σ ai= Σ aj; for i=1 j=1 index of summation The subscript i in the expression GLOSSARY 50 improper integral – index of summation i=1 inequality, triangle – inflection point GLOSSARY this reason, the summation index is sometimes called a dummy index.

See also LOGARITHMIC FUNCTION. exponential function GLOSSARY 35 GLOSSARY exponential growth – family of curves Exponential function: (a) growing; (b) decaying y y y = cekx c > 0, k >0 y = ce kx c > 0, k< 0 c 0 c x (a) y Exponential growth (b) exponential growth A term applied to a variable y that increases (often with time) according to the formula y = y0 ekt, where y0 is the initial value of y (the value when t = 0), and k is a positive constant. For example, the growth of a population with time is approximately exponential, from which the popular phrase “exponential growth” comes.

Download PDF sample

Rated 4.90 of 5 – based on 15 votes