Please enable JavaScript.
Coggle requires JavaScript to display documents.
LA - Valenza (Chapter 1 - Sets & Functions (thereom (A function f:S…
LA - Valenza
Chapter 1 - Sets & Functions
definition
functions
injective
surjective
bijective
inverse
self
thereom
A function f:S->T is invertible iff it is bijective.
Invariance of Parity
Schroeder-Bernstein
proposition
compositioned of functions, when defined, is associative
if f is invertible, its inverse is unique
the cardinality of Sn is n!
Chapter 2 -Group & Group Homomorphisms
definitions
magma
group
monoid
idempotent
subgroups
group homomorphism
bijective homomorphisms of groups
kernel
ring
field
proposition
Cancellation Laws
Group Properties
total 9 propositions
Chapter 3- Vector Spaces and Linear Transformations
definitions
vector space
subspace
Linear Combination
Isomorphism
propositions
total 8