Halmos, Paul R. (Paul Richard) 19162006Overview
Publication Timeline
Most widely held works about
Paul R Halmos
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Most widely held works by
Paul R Halmos
Finitedimensional vector spaces
by Paul R Halmos
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97 editions published between 1942 and 2007 in 3 languages and held by 2,171 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>
Naive set theory
by Paul R Halmos
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71 editions published between 1960 and 2011 in English and Undetermined and held by 1,943 WorldCat member libraries worldwide
Measure theory
by Paul R Halmos
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106 editions published between 1950 and 2007 in English and Undetermined and held by 1,888 WorldCat member libraries worldwide
A Hilbert space problem book
by Paul R Halmos
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52 editions published between 1967 and 1994 in English and Undetermined and held by 1,439 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
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Book
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45 editions published between 1951 and 2013 in English and Undetermined and held by 1,197 WorldCat member libraries worldwide
Linear algebra problem book
by Paul R Halmos
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10 editions published between 1994 and 1995 in English and held by 1,069 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
Problems for mathematicians, young and old
by Paul R Halmos
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Book
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11 editions published in 1991 in English and held by 993 WorldCat member libraries worldwide
Lectures on Boolean algebras
by Paul R Halmos
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41 editions published between 1963 and 2013 in 3 languages and held by 942 WorldCat member libraries worldwide
Selecta : expository writing
by Paul R Halmos
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18 editions published between 1982 and 1983 in English and Undetermined and held by 872 WorldCat member libraries worldwide
Algebraic logic
by Paul R Halmos
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16 editions published between 1962 and 2006 in English and Undetermined and held by 763 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
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29 editions published between 1956 and 2006 in English and Undetermined and held by 737 WorldCat member libraries worldwide
Introduction to boolean algebras
by Steven R Givant
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13 editions published between 2008 and 2009 in English and held by 614 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."BOOK JACKET
Logic as algebra
by Paul R Halmos
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11 editions published between 1998 and 2008 in English and held by 599 WorldCat member libraries worldwide
Problem book for first year calculus
by George W Bluman
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2 editions published in 1984 in English and held by 570 WorldCat member libraries worldwide
Bounded integral operators on L²spaces
by Paul R Halmos
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20 editions published in 1978 in 3 languages and held by 513 WorldCat member libraries worldwide
I have a photographic memory
by Paul R Halmos
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Book
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10 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
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Book
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7 editions published in 1991 in English and Undetermined and held by 310 WorldCat member libraries worldwide
Introduction à la théorie des ensembles (Naive set theory)
by Paul R Halmos
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20 editions published between 1967 and 1997 in French and Undetermined and held by 200 WorldCat member libraries worldwide
Naive Mengenlehre
by Paul R Halmos
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11 editions published between 1968 and 1994 in German and Multiple languages and held by 174 WorldCat member libraries worldwide
Boolean algebras
by Paul R Halmos
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Book
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12 editions published between 1959 and 1981 in English and Undetermined and held by 95 WorldCat member libraries worldwide more
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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 Einstein, Albert, Ergodic theory Generalized spaces Global differential geometry Halmos, Paul R.(Paul Richard), Heisenberg, Werner, 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 Measure theory Newsom, Carroll Vincent, Operator theory Probabilities Set theory Spectral theory (Mathematics) Statistical mechanics Teller, Edward, Topological dynamics Topology Transformations (Mathematics) United States Vector analysis Vector spaces Von Neumann, John, Wiener, Norbert,

Alternative Names
Chalmoš, P., 19162006
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., 19162006
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