 Elements of Noncommutative Geometry,
Jose M. GraciaBondia, Joseph C. Varilly and Hector Figueroa
Birkhauser Boston 2000

This text is an introduction to the language and techniques of
noncommutative geometry at a
level suitable for graduate students, and also
provides sufficient detail to be useful to physicists
and mathematicians wishing to enter this rapidly
growing field. It may also serve as a reference
text on several topics that are relevant to
noncommutative geometry (from Amazon.com description)

 Noncommutative Geometry, Alain Connes,
Academic Press (1994),
 The basic book in noncommutative geometry, written by its creator.
What else could be added?


An Introduction to Noncommutative Differential Geometry & Its
Applications,
John Madore,
Cambridge University Press (1995, 1998, 2000),
 Introduction to many examples in noncommutative geometry: from matrices
to qdeformations.

 Introduction to Noncommutative Spaces & Their Geometries,
Giovanni Landi,
SpringerVerlag New York (1997),
 An introduction to several ideas & applications of noncommutative
geometry. It starts with a not necessarily commutative but associative
algebra which is thought of as the algebra of
functions on some virtual noncommutative space.


Foundations of Quantum Group Theory, Shahn Majid,
Cambridge University Press (1993,1998)
 See the
Introduction by the author!

 Guide to Quantum Groups, Vyjayanthi Chari, Andrew N. Pressley,
Cambridge University Press, 1995

 Quantum Groups:From Coalgebras to Drinfeld Algebras
Steven Shnider, Schlomo Sternberg,
International Press of Boston (1994)


 Quantum Groups, Christian Kassel,
SpringerVerlag (1995),
 Graduate Texts in Mathematics, Vol 155


Introduction To Quantum Groups,
M.Chaichian, A. P. Demichev,
World Scientific (1996),


 Introduction to the Quantum YangBaxter Equation
and Quantum Groups: An Algebraic Approach
Larry A. Lambe, David E. Radford,
Kluwer Academic Publish. 1997,


 Algebraic Foundations of NonCommutative Differential Geometry and
Quantum Groups, Ludwig Pittner,
Springer Verlag, 1995
 Lecture Notes in Physics. New Series M, Monographs, M3

 Fundamentals of the Theory of Operator Algebras:
Advanced Theory,Vol 1,
Richard V. Kadison, John R. Ringrose, American Mathematical Society 1997,
 (Graduate Studies in Mathematics, V. 15)


Fundamentals of the Theory of Operator Algebras: Advanced Theory,Vol 2,
Richard V. Kadison, John R. Ringrose, American Mathematical Society 1997,
 (Graduate Studies in Mathematics, V. 15)
