WorldCat Identities

Mac Lane, Saunders 1909-2005

Overview
Works: 177 works in 1,065 publications in 9 languages and 14,602 library holdings
Genres: Conference papers and proceedings  Biography  Autobiographies  Textbooks 
Roles: Author, Editor, Bibliographic antecedent, Author of introduction, Honoree, Other
Publication Timeline
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Most widely held works by Saunders Mac Lane
A survey of modern algebra by Garrett Birkhoff( Book )

138 editions published between 1941 and 2017 in 3 languages and held by 2,497 WorldCat member libraries worldwide

"This classic text introduces abstract algebra using familiar and concrete examples that illustrate each concept as it is presented. It covers such topics as the role of careful proof in algebra; linear algebra as grounded in geometry; groups as expressions of symmetry; subgroups and subsystems leading to lattice theory; and much more"--Cover
Algebra by Saunders Mac Lane( Book )

92 editions published between 1967 and 1999 in 5 languages and held by 1,743 WorldCat member libraries worldwide

Categories for the working mathematician by Saunders Mac Lane( Book )

76 editions published between 1971 and 2012 in 6 languages and held by 1,553 WorldCat member libraries worldwide

"Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions."--Jacket
Homology by Saunders Mac Lane( Book )

87 editions published between 1963 and 2009 in 4 languages and held by 1,126 WorldCat member libraries worldwide

Mathematics, form and function by Saunders Mac Lane( Book )

18 editions published between 1986 and 2012 in English and Japanese and held by 915 WorldCat member libraries worldwide

This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin
Selected papers by Saunders Mac Lane( Book )

16 editions published in 1979 in English and German and held by 445 WorldCat member libraries worldwide

Sheaves in geometry and logic : a first introduction to topos theory by Saunders Mac Lane( Book )

24 editions published between 1992 and 2010 in 3 languages and held by 428 WorldCat member libraries worldwide

An introduction to the theory of toposes which begins with illustrative examples and goes on to explain the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic
Reports of the Midwest Category Seminar II by André( Book )

21 editions published between 1965 and 1968 in English and held by 370 WorldCat member libraries worldwide

A brief survey of modern algebra by Garrett Birkhoff( Book )

35 editions published between 1953 and 1967 in English and held by 365 WorldCat member libraries worldwide

Reports of the Midwest Category Seminar III by Saunders Mac Lane( Book )

19 editions published in 1969 in English and held by 356 WorldCat member libraries worldwide

Reports of the Midwest category seminar IV by Saunders Mac Lane( Book )

25 editions published between 1968 and 2008 in English and held by 346 WorldCat member libraries worldwide

Pure and applied mathematics in the People's Republic of China : a trip report of the American Pure and Applied Mathematics Delegation : submitted to the Committee on Scholarly Communication with the People's Republic of China by American Pure and Applied Mathematics Delegation( Book )

7 editions published in 1977 in English and held by 260 WorldCat member libraries worldwide

Eilenberg--Mac Lane, collected works by Samuel Eilenberg( Book )

11 editions published between 1985 and 1986 in English and Undetermined and held by 235 WorldCat member libraries worldwide

The collected works of J. Richard Büchi by J. Richard Büchi( Book )

11 editions published in 1990 in English and held by 187 WorldCat member libraries worldwide

Simplicial topology; lectures [in] Math 352 A [delivered at the University of Chicago] Winter 1959 by Saunders Mac Lane( Book )

21 editions published between 1959 and 1960 in English and Undetermined and held by 181 WorldCat member libraries worldwide

Axiomatic set theory by Saunders Mac Lane( Book )

12 editions published in 1964 in English and held by 163 WorldCat member libraries worldwide

Categorical topology and its relation to analysis, algebra and combinatorics : Prague, Czechoslovakia, 22-27 August 1988( Book )

12 editions published between 1988 and 1989 in English and held by 114 WorldCat member libraries worldwide

Algèbre by Saunders Mac Lane( Book )

14 editions published between 1970 and 1983 in French and held by 104 WorldCat member libraries worldwide

Proceedings of the Conference on Categorical Algebra, La Jolla, 1965 by Samuel Eilenberg( Book )

6 editions published in 1966 in English and Undetermined and held by 37 WorldCat member libraries worldwide

This volume contains the articles contributed to the Conference on Categorical Algebra, held June 7-12,1965, at the San Diego campus of the University of California under the sponsorship of the United States Air Force Office of Scientific Research. Of the thirty-seven mathemati cians, who were present seventeen presented their papers in the form of lectures. In addition, this volume contains papers contributed by other attending participants as well as by those who, after having planned to attend, were unable to do so. The editors hope to have achieved a representative, if incomplete, cover age of the present activities in Categorical Algebra within the United States by bringing together this group of mathematicians and by solici ting the articles contained in this volume. They also hope that these Proceedings indicate the trend of research in Categorical Algebra in this country. In conclusion, the editors wish to thank the participants and contrib. utors to these Proceedings for their continuous cooperation and encour agement. Our thanks are also due to the Springer-Verlag for publishing these Proceedings in a surprisingly short time after receiving the manu scripts
Saunders Mac Lane : a mathematical autobiography by Saunders Mac Lane( Book )

10 editions published between 2004 and 2005 in English and held by 24 WorldCat member libraries worldwide

"Saunders Mac Lane was an extraordinary mathematician, a dedicated teacher, and a good citizen who cared deeply about the values of science and education. In his autobiography, he gives us a glimpse of his "life and times," mixing the highly personal with professional observations. His recollections bring to life a century of extraordinary accomplishments and tragedies that inspire and educate. Saunders Mac Lane's life covers nearly a century of mathematical developments. During the earlier part of the twentieth century, he participated in the exciting happenings in Göttingen--the Mecca of mathematics. He studied under David Hilbert, Hermann Weyl, and Paul Bernays and witnessed the collapse of a great tradition under the political pressure of a brutal dictatorship. Later, he contributed to the more abstract and general mathematical viewpoints developed in the twentieth century. Perhaps the most outstanding accomplishment during his long and extraordinary career was the development of the concept of categories, together with Samuel Eilenberg, and the creation of a theory that has broad applications in different areas of mathematics, in particular topology and foundations. He was also a keen observer and active participant in the social and political events. As a member and vice president of the National Academy of Science and an advisor to the Administration, he exerted considerable influence on science and education policies in the post-war period. Mac Lane's autobiography takes the reader on a journey through the most important milestones of the mathematical world in the twentieth century."--Provided by publisher
 
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WorldCat IdentitiesRelated Identities
Categories for the working mathematician
Alternative Names
Lane, Saunders M. 1909-2005

Mac Lane, S.

Mac Lane, S. 1909-

Mac Lane, S. 1909-2005

Mac Lane, S. (Saunders), 1909-

Mac Lane, S. (Saunders), 1909-2005

Mac Lane, Saunders.

Mac-Lane, Saunders 1909-2005

MacLane, S.

MacLane, S. 1909-2005

MacLane, S. (Saunders)

MacLane, S. (Saunders), 1909-2005

MacLane, Saunders.

MacLane, Saunders 1909-

MacLane Saunders 1909-2005

Maklejn, S.

Mc Lane, Saunders

Mc Lane Saunders 1909-2005

McLane, Saunders.

McLane Saunders 1909-2005

Saunders Mac Lane Amerikaans wiskundige

Saunders Mac Lane amerikansk matematikar

Saunders Mac Lane amerikansk matematiker

Saunders Mac Lane matemàtic estatunidenc

Saunders Mac Lane matemático estadounidense

Saunders Mac Lane matematico statunitense

Saunders Mac Lane matematyk amerykański

Saunders Mac Lane mathématicien américain

Saunders Mac Lane US-amerikanischer Mathematiker, Mitbegründer der Kategorientheorie

Маклейн, С.

Маклейн, Саундерс

Սաունդերս Մաքլեյն

ساندرز مک لین ریاضی‌دان آمریکایی

سوندرز ماكلين

سوندرز ماكلين رياضياتي أمريكي

სონდერს მაკლეინი

손더스 매클레인

ソーンダース・マックレーン

マックレーン, S.

マックレーン, ソーンダース

桑德斯·麥克蘭恩

Languages
Covers
AlgebraCategories for the working mathematicianHomologySheaves in geometry and logic : a first introduction to topos theoryReports of the Midwest Category Seminar IIReports of the Midwest Category Seminar IIIReports of the Midwest category seminar IVSaunders Mac Lane : a mathematical autobiography