This note
covers the following topics: Some homotopy theory, Exact categories,
Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity,
The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining
acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category
localization, Coherent sheaves and open subschemes, Product formulas, K-theory
with finite coefficients, Homology, K-theory of graded rings, Homotopy property,
Rigidity, K-theory of finite fields.

This lecture note covers the following topics:Projections and
Unitaries, The K0-Group for Unital C -Algebras, K1-Functor and the Index Map,
Bott Periodicity and the Exact Sequence of K-Theory, Tools for the computation
of K-groups.

This note explains the following topics: Categories and functors, Transformations and
equivalences, Universal properties, Homotopy theory, Simplicial methods,
Homotopy theory of categories, Waldhausen K-theory, Abelian and exact
categories, Quillen K-theory.

This note
covers the following topics: Some homotopy theory, Exact categories,
Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity,
The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining
acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category
localization, Coherent sheaves and open subschemes, Product formulas, K-theory
with finite coefficients, Homology, K-theory of graded rings, Homotopy property,
Rigidity, K-theory of finite fields.

This book explains the following topics: Topological K-theory, K-theory of
C* algebras , Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1
of Orders and Group-rings, Higher Algebraic K-theory , Higher Dimensional Class
Groups of Orders and Group rings , Higher K-theory of Schemes, Mod-m Higher
K-theory of exact Categories, Schemes and Orders, Profinite Higher K-theory of
Exact Categories, Schemes and Orders, Equivariant Higher K-theory Together with
Relative Generalizations, Interpretation in Terms of Group-rings.