Math 321-1-71
Assignment 5
Page 1
Submit this assignment at the beginning of class on Friday, November 1. Format requirements for assignments appear in the course syllabus. You may discuss assignments with
others, but you must write your solutions individ
Totally Ordered Sets
John M. Alongi
September 27, 2013
Total Orders
Recall that a relation on a set S is any subset of S S.
Denition
A total order on a set S is a relation
on S such that
(a) (antisymmetry) for all x, y S, if x
x = y,
y and y
x, then
(b) (
Math 321-1-71
Assignment 2
Page 1
Submit this assignment at the beginning of class on Wednesday, October 9. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions indiv
Math 321-1-71
Assignment 1
Page 1
Submit this assignment at the beginning of class on Wednesday, October 1. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions indiv
Fields & A Construction of the Real Number
System
John M. Alongi
September 30, 2013
Binary Operations
Denition
A binary operation on a set S is a function f : S S S.
Fields: Denition
Denition
A eld is a triple (F, +, ) consisting of a set F and binary
ope
Math 321-1-71
Assignment 3
Page 1
Submit this assignment at the beginning of class on Wednesday, October 16. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions indi
Math 321-1-71
Assignment 4
Page 1
Submit this assignment at the beginning of class on Wednesday, October 23. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions indi
Math 321-1-71
Assignment 8
Page 1
Submit this assignment at the beginning of class on Wednesday, November 20. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions ind
Math 321-1-71
Assignment 7
Page 1
Submit this assignment at the beginning of class on Wednesday, November 13. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions ind
Math 321-1-71
Assignment 6
Page 1
Submit this assignment at the beginning of class on Wednesday, November 6. Format
requirements for assignments appear in the course syllabus. You may discuss assignments
with others, but you must write your solutions indi
Solutions to Principles of Mathematical Analysis (Walter Rudin)
Jason Rosendale
[email protected]
December 19, 2011
This work was done as an undergraduate student: if you really dont understand something in one of these
proofs, it is very possible