Course 311: Michaelmas Term 1999
Part I: Topics in Number Theory
D. R. Wilkins
Contents
1 Topics in Number Theory
1.1 Subgroups of the Integers . . . . . . . . . .
1.2 Greatest Common Divisors . . . . . . . . . .
1.3 The Euclidean Algorithm . . . . . . .
AN
INTRODUCTION
TO
THEORY
THE
OF
NUMBERS
AN INTRODUCTION
TO THE
THEORYOFNUMBERS
BY
G. H. HARDY
AND
E. M. WRIGHT
Principal
and Vice-Chancellor
University
of Aberdeen
FOURTH
AT THE
of the
EDITION
OX.FORD
CLARENDON
PRESS
[email protected] University Press, Ely House, Lon
Physics 195 Supplementary Notes Groups, Lie algebras, and Lie groups 020922 F. Porter This note defines some mathematical structures which are useful in the discussion of angular momentum in quantum mechanics (among other things). Def: A pair (G, ), where
Elements of Abstract and Linear Algebra
E. H. Connell
ii
E.H. Connell Department of Mathematics University of Miami P.O. Box 249085 Coral Gables, Florida 33124 USA [email protected]
Mathematical Subject Classifications (1991): 12-01, 13-01, 15-01, 16-01,
Nanyang Girls High School
Secondary 1 Mathematics
Enrichment 2003
Algebra: Challenging problems
The following questions are taken from an article written by Tom M. Giambrone, from Indiana University
Pennsylvania.
1.
Omar the Rope Maker decided to make a r
Elements of
Abstract and Linear Algebra
E. H. Connell
ii
E.H. Connell
Department of Mathematics
University of Miami
P.O. Box 249085
Coral Gables, Florida 33124 USA
[email protected]
Mathematical Subject Classications (1991): 12-01, 13-01, 15-01, 16-01, 20
best [(we do our) + (so you can do your)]
Mathematics Resource
Part I of III: Algebra
TABLE OF CONTENTS
I.
II.
III.
IV.
V.
VI.
VII.
VIII.
IX.
X.
XI.
THE NATURE OF NUMBERS
EXPRESSIONS, EQUATIONS, AND POLYNOMIALS (EEP!)
A BIT ON INEQUALITIES
MOMMY, WHERE DO