"This book is very well organized and clearly written and contains an adequate supply of exercises. If one is comfortable with the choice of topics in the book, it would be a good candidate for a text in a graduate real analysis course." -- MATHEMATICAL REVIEWS
Focusing on the foundations of von Neumann algebras, this book systematically explores Baer *-Rings, emphasizing their ring-theoretic and lattice-theoretic aspects. It delves into the equivalence of projections, type decomposition, and connections to AW*-algebras and *-regular rings. Special topics include finite Baer *-rings, dimension theory, and matrix rings. Designed as both a textbook and a reference, it features over 400 exercises with notes and literature references, along with errata and author comments in the second printing.
This book serves as a foundational text for a first course in real analysis, following elementary calculus. It emphasizes real-valued functions and covers the axioms of real numbers, the foundations of calculus, and the development of independent learning skills in mathematics. The author shares a deep passion for the subject.