Points and Lines Characterizing the Classical Geometries

From the reviews:

“In this expansive volume, Shult (Kansas State Univ.) attempts to provide a thorough, self-contained characterization of geometries of Lie type by means of local axioms on points and lines. … There is enough material here for several semester-long graduate courses; alternatively, the book could be used as a reference work. Shult makes every effort to remain chatty … and intuitive while ensuring precision and detail. Summing Up: Recommended. Graduate students and researchers.” (S. J. Colley, Choice, Vol. 48 (11), July, 2011)

“This book presents characterizations of the classical geometries of Lie type by axioms on points and lines; it is a teaching book with detailed proofs, written for beginning graduate students. … Most chapters end with a set of exercises … . The whole book shows the author’s love of incidence geometry and of teaching.” (Theo Grundhöfer, Mathematical Reviews, Issue 2011 m)

“Shult has designed the book as a self-contained resource for a graduate student who plans to pursue research in this area. … the book gives detailed proofs and offers exercises at the end of each chapter, organized by topic. … geometrically inclined readers will wish to illustrate the text, in addition to working through the official exercises. … the intensity of detail and sparsity of illustrations make it more suitable as a handbook for experts … .” (Ursula Whitcher, The Mathematical Association of America, July, 2012)