Halmos, Paul R. (Paul Richard) 19162006
Overview
Works:  136 works in 826 publications in 8 languages and 19,797 library holdings 

Genres:  Biography Pictorial works Portraits History Interviews 
Roles:  Author, Editor, Honoree, Author of introduction 
Classifications:  QA248, 512.86 
Publication Timeline
.
Most widely held works about
Paul R Halmos
 I want to be a mathematician : an automathography by Paul R Halmos Paul R Halmos( Book )
 A glimpse at Hilbert space operators Paul R. Halmos in memoriam by Sheldon Jay Axler Sheldon Jay Axler( )
 I want to be a mathematician : an automathography in three parts by Paul R Halmos Paul R Halmos( Book )
 Mathematical Association of America records by Mathematical Association of AmericaMathematical Association of America( )
 John Von Neumann and Klara Dan Von Neumann papers by John Von Neumann John Von Neumann( )
 Mathematical writing (CS 209) : by Donald Ervin Knuth Donald Ervin Knuth( )
 Halmos, Paul Richard, papers by Paul R Halmos Paul R Halmos( )
 Halmos, Paul Richard: pure mathematics ( )
 Halmos, Paul R., Documentary Film Source Materials collection by Paul R Halmos Paul R Halmos( )
 Selecta by Paul R Halmos Paul R Halmos( Book )
 Halmos, Paul R. photograph collection by Paul R Halmos Paul R Halmos( )
 Many thanks by William McGowen Priestley William McGowen Priestley( Book )
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Most widely held works by
Paul R Halmos
Naive set theory
by
Paul R Halmos(
Book
)
115 editions published between 1960 and 2011 in 5 languages and held by 2,201 WorldCat member libraries worldwide
115 editions published between 1960 and 2011 in 5 languages and held by 2,201 WorldCat member libraries worldwide
Measure theory
by
Paul R Halmos(
Book
)
116 editions published between 1950 and 2007 in English and Undetermined and held by 1,915 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
116 editions published between 1950 and 2007 in English and Undetermined and held by 1,915 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
Finitedimensional vector spaces
by
Paul R Halmos(
Book
)
80 editions published between 1942 and 2012 in 5 languages and held by 1,878 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>
80 editions published between 1942 and 2012 in 5 languages and held by 1,878 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>
A Hilbert space problem book
by
Paul R Halmos(
Book
)
58 editions published between 1967 and 2012 in English and Undetermined and held by 1,480 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."
58 editions published between 1967 and 2012 in English and Undetermined and held by 1,480 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."
Linear algebra problem book
by
Paul R Halmos(
Book
)
19 editions published between 1994 and 2013 in English and French and held by 1,242 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 selfstudy. 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
19 editions published between 1994 and 2013 in English and French and held by 1,242 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 selfstudy. 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
Introduction to Hilbert space and the theory of spectral multiplicity
by
Paul R Halmos(
Book
)
39 editions published between 1951 and 2013 in English and Undetermined and held by 1,171 WorldCat member libraries worldwide
39 editions published between 1951 and 2013 in English and Undetermined and held by 1,171 WorldCat member libraries worldwide
Problems for mathematicians, young and old
by
Paul R Halmos(
Book
)
15 editions published between 1991 and 2000 in English and French and held by 1,080 WorldCat member libraries worldwide
15 editions published between 1991 and 2000 in English and French and held by 1,080 WorldCat member libraries worldwide
Lectures on Boolean algebras
by
Paul R Halmos(
Book
)
34 editions published between 1963 and 2013 in 3 languages and held by 902 WorldCat member libraries worldwide
34 editions published between 1963 and 2013 in 3 languages and held by 902 WorldCat member libraries worldwide
Selecta : expository writing
by
Paul R Halmos(
Book
)
21 editions published between 1982 and 2014 in English and Undetermined and held by 892 WorldCat member libraries worldwide
21 editions published between 1982 and 2014 in English and Undetermined and held by 892 WorldCat member libraries worldwide
Algebraic logic
by
Paul R Halmos(
Book
)
12 editions published between 1962 and 2006 in English and held by 744 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
12 editions published between 1962 and 2006 in English and held by 744 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
)
33 editions published between 1956 and 2013 in 4 languages and held by 743 WorldCat member libraries worldwide
33 editions published between 1956 and 2013 in 4 languages and held by 743 WorldCat member libraries worldwide
Introduction to boolean algebras
by
Steven R Givant(
)
11 editions published between 2008 and 2009 in English and held by 605 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 collegelevel mathematics. With carefully crafted prose, lucid explanations, and illuminating insights, it guides students to some of the deeper results of Boolean algebraand in particular to the important interconnections with topologywithout 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 StoneCech 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
11 editions published between 2008 and 2009 in English and held by 605 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 collegelevel mathematics. With carefully crafted prose, lucid explanations, and illuminating insights, it guides students to some of the deeper results of Boolean algebraand in particular to the important interconnections with topologywithout 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 StoneCech 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
Logic as algebra
by
Paul R Halmos(
Book
)
6 editions published between 1998 and 2008 in English and held by 587 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
6 editions published between 1998 and 2008 in English and held by 587 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 587 WorldCat member libraries worldwide
3 editions published in 1984 in English and held by 587 WorldCat member libraries worldwide
Bounded integral operators on L²spaces
by
Paul R Halmos(
Book
)
15 editions published in 1978 in 3 languages and held by 494 WorldCat member libraries worldwide
15 editions published in 1978 in 3 languages and held by 494 WorldCat member libraries worldwide
I have a photographic memory
by
Paul R Halmos(
Book
)
9 editions published in 1987 in English and Undetermined and held by 458 WorldCat member libraries worldwide
9 editions published in 1987 in English and Undetermined and held by 458 WorldCat member libraries worldwide
Paul Halmos celebrating 50 years of mathematics
by
John H Ewing(
Book
)
5 editions published in 1991 in English and Undetermined and held by 306 WorldCat member libraries worldwide
5 editions published in 1991 in English and Undetermined and held by 306 WorldCat member libraries worldwide
Boolean algebras
by
Paul R Halmos(
Book
)
15 editions published between 1959 and 1981 in English and Undetermined and held by 97 WorldCat member libraries worldwide
15 editions published between 1959 and 1981 in English and Undetermined and held by 97 WorldCat member libraries worldwide
Matrices I have met
by
Paul R Halmos(
Visual
)
2 editions published in 1986 in English and held by 93 WorldCat member libraries worldwide
Dr. Halmos discusses matrix approximation, unitary dilation of matrices, subnormal matrices, and square roots of matrices
2 editions published in 1986 in English and held by 93 WorldCat member libraries worldwide
Dr. Halmos discusses matrix approximation, unitary dilation of matrices, subnormal matrices, and square roots of matrices
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
"The film contains a rare interview with Paul Halmos by Peter Renz, revealing his thoughts on mathematics, and how to teach and write about it. Five bonus features include comments by mathematicians Robert Bekes, David Eisenbud, Jean Pedersen, and Donald Sarason about their experiences with Halmos."Verso du conteneur
4 editions published in 2009 in English and held by 91 WorldCat member libraries worldwide
"The film contains a rare interview with Paul Halmos by Peter Renz, revealing his thoughts on mathematics, and how to teach and write about it. Five bonus features include comments by mathematicians Robert Bekes, David Eisenbud, Jean Pedersen, and Donald Sarason about their experiences with Halmos."Verso du conteneur
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Related Identities
 Sarason, Donald Editor
 Givant, Steven R. Author
 Bluman, George W. 1943 Author
 Gillman, Leonard Editor
 Sunder, V. S.
 Rosenthal, Peter 1941 Editor
 Axler, Sheldon Jay Editor
 Gehring, Frederick W. Author Editor
 Friedman, Nathaniel A. Editor
 Ewing, John H. Editor
Useful Links
Associated Subjects
Aldor, Eva Algebra Algebra, Abstract Algebra, Boolean Algebraic logic Algebras, Linear American Mathematical Society ArithmeticFoundations Axiomatic set theory Ballistics Calculus Canada Chandrasekhar, S.(Subrahmanyan), Conference Board of the Mathematical Sciences Dan family Einstein, Albert, Ergodic theory Generalized spaces Global differential geometry Halmos, Paul R.(Paul Richard), Hilbert space Hyperspace Institute for Advanced Study (Princeton, N.J.) Integral operators Kent, R. H.(Robert Harrington), Logic, Symbolic and mathematical Los Alamos Scientific Laboratory Lp spaces Mathematical analysis Mathematical Association of America Mathematical models Mathematicians Mathematics MathematicsStudy and teaching Matrices Measure theory Newsom, Carroll Vincent, Operator theory Probabilities Set theory Spectral theory (Mathematics) Statistical mechanics Topological dynamics Topology Transformations (Mathematics) United States Vector analysis Vector spaces Von Neumann, John, Wiener, Norbert,
Alternative Names
Chalmoš, P. 19162006
Chalmoš, P. R. 19162006
Halmos
Halmoš, P.
Halmos, P. R.
Halmos P. R. 19162006
Halmos, P. R. (Paul Richard), 19162006
Halmos, Pál 19162006
Halmos, Paul.
Halmos, Paul 19162006
Halmos, Paul R.
Halmos Paul R. 19162006
Halmos, Paul R. (Paul Richard), 19162006
Halmos, Paul Richard
Halmos, Paul Richard 1916
Halmos, Paul Richard 19162006
HalmosSunder, ... 19162006
Khalmos P. 19162006
Khalmosh, P.
Khalmosh, P. 19162006
Khalmosh, P. (Paul), 19162006
Халмош, П..
Халмош, П 19162006
Халмош, П. Р..
Халмош, Пауль.
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