The field of generalized inverses has grown much since the appearance of the first edition in 1974, and is still growing. This book accounts for these developments while maintaining the informal and leisurely style of the first edition. New material has been added, including a chapter on applications, an appendix on the work of E.H. Moore, new exercises and applications.pFrom the reviews of the second edition:ppThe book under review which is the second edition of the 30 years ago published one provides a detailed survey of generalized inverses and their main properties ??? . An important feature of this book is the over 600 exercises ??? . Each chapter ends with the section ???Suggested further reading???. These sections provide excellent additional references on topics treated ??? . it can be used profitably by graduate or advanced undergraduate students of mathematics and computer science, and by PhD students ??? . (R??bert Rajk??, Acta Scientiarum Mathematicarum, Vol. 71, 2005)pEach chapter is accompanied by suggestions for further reading, while the bibliography contains 901 references. ??? The book contains 450 exercises at different levels of difficulty, many of which are solved in detail. This feature makes it suitable either for reference and self-study or for use as a classroom text. It can be used profitably by graduate students or advanced undergraduate students ??? . (Nicholas Karampetakis, Zentralblatt MATH, Vol. 1026, 2004)From the reviews of the second edition:pThe book under review which is the second edition of the 30 years ago published one provides a detailed survey of generalized inverses and their main properties a ] . An important feature of this book is the over 600 exercises a ] . Each chapter ends with the section a ~Suggested further readinga (TM). These sections provide excellent additional references on topics treated a ] . it can be used profitably by graduate or advanced undergraduate students of mathematics and computer @P€