Paul R. Halmos

2011 Reprint of 1960 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor. ..".He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics." - "Philosophy and Phenomenological Research."

Naive Set Theory

P.R. Halmos

An Automathography

I Want to be a Mathematician

Takes the student step by step from basic axioms to advanced concepts. 164 problems, each with hints and full solutions.

Linear Algebra Problem Book

Second Edition

Finite-Dimensional Vector Spaces

Lectures on Ergodic Theory

I Want to Be a Mathematician: An Automathography

Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups. From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS

Measure Theory

Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.

Lectures on Boolean Algebras

Classic, widely cited, and accessible treatment offers an ideal supplement to many traditional linear algebra texts. "Extremely well-written and logical, with short and elegant proofs." — MAA Reviews. 1958 edition.

Concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. 1957 edition.

Introduction to Hilbert Space and the Theory of Spectral Multiplicity

This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.

The book is a complete collection of Paul Halmos's articles written on the subject of algebraic logic (the theory of Boolean functions). Altogether, there are ten articles, which were published between 1954-1959 in eight different journals spanning four countries. The articles appear in an order that allows the reader unfamiliar with the subject to read them without many prerequisites. In particular, the first article in the book is an accessible introduction to algebraic logic.

Algebraic Logic

University Series in Undergraduate Mathematics

Finite Dimensional Vector Spaces

Paul R. Halmos, eminent mathematician, is also a snapshot addict. For the past 45 years, Halmos has snapped mathematicians, their spouses, their brothers and sisters and other relatives, their offices, their dogs, and their carillon towers. From 6000 or so photographs in his collection, Halmos chose about 600 for this book. The pictures are candid shots showing mathematicians just being themselves, and the accompanying captions, in addition to identifying the subjects, contain anecdotes and bits of history that reveal Halmos' inimitable wit and insight.

Paul R. Halmos

About

Books

Join the club