Books
 Basic Noncommutative Geometry2nd Edition EMS Series of Lectures in Mathematics,
Masoud Khalkhali Published by the European Mathematical Society Publishing House, December 2013. ISBN: 9783037190616 Introduction  Contents  webpage on EMS Here is a Free Copy of the first edition of my book, Basic Noncommutative Geometry. Extra material is added in the second edition. You can order the new edition from EMS website. This text provides an introduction to noncommutative geometry and some of its applications. The book can be used either as a textbook for a graduate course on the subject or for selfstudy. It will be useful for graduate students and researchers in mathematics and theoretical physics and all those who are interested in gaining an understanding of the subject. One feature of this book is the wealth of examples and exercises that help the reader to navigate through the subject. While background material is provided in the text and in several appendices, some familiarity with basic notions of functional analysis, algebraic topology, differential geometry and homological algebra at a first year graduate level is helpful. Developed by Alain Connes since the late 1970s, noncommutative geometry has found many applications to longstanding conjectures in topology and geometry and has recently made headways in theoretical physics and number theory. The book starts with a detailed description of some of the most pertinent algebrageometry correspondences by casting geometric notions in algebraic terms, then proceeds in the second chapter to the idea of a noncommutative space and how it is constructed. The last two chapters deal with homological tools: cyclic cohomology and Connes–Chern characters in Ktheory and Khomology, culminating in one commutative diagram expressing the equality of topological and analytic index in a noncommutative setting. Applications to integrality of noncommutative topological invariants are given as well. 
 Perspectives on Noncommutative Geometry Coedited with Guolinag Yu
Masoud Khalkhali Published by the Fields Institute and the American Mathematical Society, Sept. 2011. ISBN13: 9780821848494 This volume represents the proceedings of the
Noncommutative
Geometry Workshop that was held as part of the thematic program on
operator algebras at the Fields Institute in May 2008. 
 Quanta of Maths, a festshrift in honor of Alain Connes' 60 th birthday Coedited with Etienne Blanchard, David Ellwood, Matilde Marcolli, and Henri Moscovici
Masoud Khalkhali Published jointly by the Clay Mathematics Institute and the American Mathematical Society, December 2010. ISBN13: 9780821852033 The work of Alain Connes has cut a wide swath across several areas of math ematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics. Specific themes covered by the articles are as
follows: 
 Basic Noncommutative Geometry EMS Series of Lectures in Mathematics,
Masoud Khalkhali Published by the European Mathematical Society Publishing House, December 2009. ISBN: 9783037190616 Introduction  Contents  webpage on EMS This text provides an introduction to noncommutative geometry and some of its applications. The book can be used either as a textbook for a graduate course on the subject or for selfstudy. It will be useful for graduate students and researchers in mathematics and theoretical physics and all those who are interested in gaining an understanding of the subject. One feature of this book is the wealth of examples and exercises that help the reader to navigate through the subject. While background material is provided in the text and in several appendices, some familiarity with basic notions of functional analysis, algebraic topology, differential geometry and homological algebra at a first year graduate level is helpful. Developed by Alain Connes since the late 1970s, noncommutative geometry has found many applications to longstanding conjectures in topology and geometry and has recently made headways in theoretical physics and number theory. The book starts with a detailed description of some of the most pertinent algebrageometry correspondences by casting geometric notions in algebraic terms, then proceeds in the second chapter to the idea of a noncommutative space and how it is constructed. The last two chapters deal with homological tools: cyclic cohomology and Connes–Chern characters in Ktheory and Khomology, culminating in one commutative diagram expressing the equality of topological and analytic index in a noncommutative setting. Applications to integrality of noncommutative topological invariants are given as well. 
 An Invitation to Noncommutative Geometry Coedited with Matilde Marcolli
Masoud Khalkhali Published by World Scientific, Spring 2008. ISBN13: 9789812706164 Preface  Contents  webpage on worldscience This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory. 
 Very Basic Noncommutative Geometry IPM Lecture Notes Series 5,
M. Khalkhali Published by the Institute for Advanced Studies in Theoretical Physics and Mathematics (IPM), May 2005. Preface  Introduction  Contents

 Cyclic Cohomology and Noncommutative Geometry Coedited with Joachim Cuntz
Masoud Khalkhali Fields Institute Communications 17, Copublished by American Mathematical Society and the Fields Institute, 1997. ISBN13: 9780821808238 Noncommutative geometry is a new field that is among the great challenges of presentday mathematics. Its methods allow one to treat noncommutative algebrassuch as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theoryon the same footing as commutative algebras, that is, as spaces. Applications range over many fields of mathematics and mathematical physics. This volume contains the proceedings of the workshop on "Cyclic Cohomology and Noncommutative Geometry" held at The Fields Institute (Waterloo, ON) in June 1995. The workshop was part of the program for the special year on operator algebras and its applications. Features: Contributions by originators of the subject who are leaders in the field. Survey articles not previously available. Expository articles geared toward the larger mathematical community. 