Some Basic Notations Of Set Theory
There are some good books about set theory; we write them down. We
wish the reader can get more.
Set Theory and Related Topics by Seymour Lipschutz.
Set Theory by Charles C. Pinter.
Theory of sets
K. R. MATTHEWS
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF QUEENSLAND
Corrected Version, 16th February 2012
Comments to the author at [email protected]
1 LINEAR EQUATIONS
1.1 Introduction to linear equations . . . .
Wolfram Mathematica Tutorial Collection
SOLVING WITH DSOLVE
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Ordinary Differential Equations
Matlab has several different functions for the numerical solution of ordinary differential equations. This chapter describes the simplest of these functions and then compares all of the functions for efficiency, a
This is the free digital calculus text by David R. Guichard and others. It was
submitted to the Free Digital Textbook Initiative in California and will remain
unchanged for at least two years.
The book is in use at Whitman College and is occasion
EXERCISES FROM THE TEXT BOOK (SET THEORY, CHARLES PINTER)
E XERCISES 1.6
Exercise 11 (check [Pin71, ex. 11, page 45]). Prove that (A B ) = (A ) (B ).
x (A B )
(1) y A B ( x y)
(2) y A ( x y)
(2) y B ( x y)