WorldCat Identities

Halmos, Paul R. (Paul Richard) 1916-2006

Works: 160 works in 1,059 publications in 11 languages and 20,855 library holdings
Genres: Biography  Pictorial works  History  Portraits  Interviews  Biographies 
Roles: Author, Editor, Honoree, Author of introduction, Dedicatee
Classifications: QA248, 512.86
Publication Timeline
Most widely held works about Paul R Halmos
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Most widely held works by Paul R Halmos
Naive set theory by Paul R Halmos( Book )

135 editions published between 1960 and 2013 in 8 languages and held by 2,379 WorldCat member libraries worldwide

Finite-dimensional vector spaces by Paul R Halmos( Book )

128 editions published between 1942 and 2012 in 6 languages and held by 2,190 WorldCat member libraries worldwide

"The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." <EM>Zentralblatt f.r Mathematik</EM>
Measure theory by Paul R Halmos( Book )

134 editions published between 1950 and 2007 in 3 languages and held by 1,913 WorldCat member libraries worldwide

Useful both as a text for students and as a source of reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory which is most useful for its application in modern analysis. Topics studied include sets and classes, measures and outer measures, measurable functions, integration, general set functions, product spaces, transformations, probability, locally compact spaces, Haar measure and measure and topology in groups. The text is suitable for the beginning graduate student as well as the advanced undergraduate
A Hilbert space problem book by Paul R Halmos( Book )

73 editions published between 1967 and 2012 in 3 languages and held by 1,476 WorldCat member libraries worldwide

From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."
Introduction to Hilbert space and the theory of spectral multiplicity by Paul R Halmos( Book )

51 editions published between 1951 and 2013 in English and Undetermined and held by 1,189 WorldCat member libraries worldwide

Problems for mathematicians, young and old by Paul R Halmos( Book )

18 editions published between 1991 and 2000 in English and French and held by 1,069 WorldCat member libraries worldwide

Linear algebra problem book by Paul R Halmos( Book )

21 editions published between 1994 and 2013 in English and French and held by 1,050 WorldCat member libraries worldwide

Can one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how to teach and learn mathematics by 'doing' mathematics. It will work well for classes taught in small groups and can also be used for self-study. After working their way through the book, students will understand not only the theorems of linear algebra, but also some of the questions which were asked which enabled the theorems to be discovered in the first place. They will gain confidence in their problem solving abilities and be better prepared to understand more advanced courses. As the author explains, 'I don't think I understand a subject until I know the questions ... I wrote this book to organize those questions, problems, in my own mind.' Try this book with your students and they too will be able to organize and understand the questions of linear algebra. - Publisher
Lectures on Boolean algebras by Paul R Halmos( Book )

51 editions published between 1963 and 2013 in 3 languages and held by 930 WorldCat member libraries worldwide

Selecta : expository writing by Paul R Halmos( Book )

29 editions published between 1982 and 1983 in English and Undetermined and held by 907 WorldCat member libraries worldwide

Algebraic logic by Paul R Halmos( Book )

17 editions published between 1962 and 2006 in English and Undetermined and held by 750 WorldCat member libraries worldwide

This book addresses some of the problems of mathematical logic and the theory of polyadic Boolean algebras in particular. It is intended to be an efficient way of treating algebraic logic in a unified manner
Lectures on ergodic theory by Paul R Halmos( Book )

36 editions published between 1956 and 2013 in 4 languages and held by 742 WorldCat member libraries worldwide

Logic as algebra by Paul R Halmos( Book )

12 editions published between 1998 and 2008 in English and held by 606 WorldCat member libraries worldwide

Publisher Description (unedited publisher data) Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed to understand the book is some basic acquaintance with algebra. Library of Congress subject headings for this publication: Logic, Symbolic and mathematical
Problem book for first year calculus by George W Bluman( Book )

3 editions published in 1984 in English and held by 565 WorldCat member libraries worldwide

Bounded integral operators on Lspaces by Paul R Halmos( Book )

26 editions published between 1978 and 1985 in 4 languages and held by 522 WorldCat member libraries worldwide

I have a photographic memory by Paul R Halmos( Book )

11 editions published in 1987 in English and Undetermined and held by 461 WorldCat member libraries worldwide

Paul Halmos celebrating 50 years of mathematics by John H Ewing( Book )

8 editions published in 1991 in English and Undetermined and held by 312 WorldCat member libraries worldwide

Introduction to boolean algebras by Steven R Givant( Book )

16 editions published between 2008 and 2009 in English and held by 281 WorldCat member libraries worldwide

"In a bold and refreshingly informal style, this exciting text steers a middle course between elementary texts emphasizing connections with philosophy, logic, and electronic circuit design, and profound treatises aimed at advanced graduate students and professional mathematicians. It is written for readers who have studied at least two years of college-level mathematics. With carefully crafted prose, lucid explanations, and illuminating insights, it guides students to some of the deeper results of Boolean algebra-and in particular to the important interconnections with topology-without assuming a background in algebra, topology, and set theory. The parts of those subjects that are needed to understand the material are developed within the text itself." "Highlights of the book include the normal form theorem; the homomorphism extension theorem; the isomorphism theorem for countable atomless Boolean algebras; the maximal ideal theorem; the celebrated Stone representation theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski's isomorphism of factors theorem for (J'-algebras, and Hanf's related counterexamples; and an extensive treatment of the algebraictopological duality, including the duality between ideals and open sets, homomorphisms and continuous functions, subalgebras and quotient spaces, and direct products and Stone-Cech compactifications." "A special feature of the book is the large number of exercises of varying levels of difficulty, from routine problems that help readers understand the basic definitions and theorems, to intermediate problems that extend or enrich material developed in the text, to harder problems that explore important ideas either not treated in the text, or that go substantially beyond its treatment. Hints for the solutions to the harder problems are given in an appendix. A detailed solutions manual for all exercises is available for instructors who adopt the text for a course."--Jacket
Boolean algebras by Paul R Halmos( Book )

15 editions published between 1959 and 1981 in English and Undetermined and held by 95 WorldCat member libraries worldwide

Entropy in ergodic theory by Paul R Halmos( Book )

7 editions published between 1955 and 1959 in English and Undetermined and held by 92 WorldCat member libraries worldwide

I want to be a mathematician a conversation with Paul Halmos( Visual )

4 editions published in 2009 in English and held by 91 WorldCat member libraries worldwide

In this interview, Paul Halmos, talks about his thoughts on mathematics, how to teach mathematics and also how to write about it
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Measure theory
Alternative Names
Chalmoš, P. 1916-2006

Chalmoš, P. R. 1916-2006


Halmoš, P.

Halmos, P. R.

Halmos P. R. 1916-2006

Halmos, P. R. (Paul Richard), 1916-2006

Halmos, Pl 1916-2006

Halmos Pl Amerikai magyar matematikus

Halmos, Paul.

Halmos, Paul 1916-2006

Halmos, Paul R.

Halmos Paul R. 1916-2006

Halmos, Paul R. (Paul Richard), 1916-2006

Halmos, Paul Richard

Halmos, Paul Richard 1916-

Halmos, Paul Richard 1916-2006

Halmos-Sunder, ... 1916-2006

Halmosi Paul

Khalmos P. 1916-2006

Khalmosh, P.

Khalmosh, P. 1916-2006

Khalmosh, P. (Paul), 1916-2006

Pl Halmos

Paul Halmos matematico e statistico ungherese

Paul Halmos US-amerikanischer Mathematiker ungarischer Herkunft

Пол Річард Халмош

Халмош, П..

Халмош, П 1916-2006

Халмош, П. Р..

Халмош, Пауль.

Халмош, Пол Ричард

פול הלמוש

پل ریچارد هالموس

पॉल हॅलमॉस


Finite-dimensional vector spacesMeasure theoryA Hilbert space problem bookProblems for mathematicians, young and oldLinear algebra problem bookLectures on ergodic theoryLogic as algebraProblem book for first year calculus