Mac Lane, Saunders 19092005
Overview
Works:  256 works in 1,156 publications in 9 languages and 15,093 library holdings 

Genres:  Conference papers and proceedings Biography Autobiographies Textbooks 
Roles:  Author, Editor, Bibliographic antecedent, Author of introduction, Honoree, Other 
Publication Timeline
.
Most widely held works about
Saunders Mac Lane
 Saunders Mac Lane : a mathematical autobiography by Saunders Mac Lane( Book )
 Nominations : hearings before the Committee on Labor and Public Welfare, United States Senate, Ninetythird Congress, second session on Jewel P. Cobb, Norman Hackerman, William Neill Hubbard, Jr., Saunders MacLane, Grover E. Murray, Donad B. Rice, Jr., L. Donald Shields, and James H Zumberge to be members of the National Science Board, National Science Foundation, September 11 and October 3, 1974( Book )
 A mathematical autobiography by Saunders Mac Lane( Book )
 Mac Lane, Saunders, records by Saunders Mac Lane( )
 Saunders MacLane by Yale College (1887 )( )
 Conference held in Coimbra in honour of the 90th birthday of Saunders Mac Lane : selected papers( Book )
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Most widely held works by
Saunders Mac Lane
A survey of modern algebra by
Garrett Birkhoff(
Book
)
148 editions published between 1941 and 2017 in 3 languages and held by 2,541 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
148 editions published between 1941 and 2017 in 3 languages and held by 2,541 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 MacLane(
Book
)
104 editions published between 1967 and 1999 in 6 languages and held by 1,801 WorldCat member libraries worldwide
104 editions published between 1967 and 1999 in 6 languages and held by 1,801 WorldCat member libraries worldwide
Categories for the working mathematician by
Saunders MacLane(
Book
)
80 editions published between 1971 and 2013 in 6 languages and held by 1,700 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 adjointlike 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
80 editions published between 1971 and 2013 in 6 languages and held by 1,700 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 adjointlike 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
)
71 editions published between 1963 and 2009 in 4 languages and held by 1,166 WorldCat member libraries worldwide
In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL LING. A further development of homological ideas, with a view to their topological applications, came in my long collaboration with SAMUEL ElLENBERG; to both collaborators, especial thanks. For many years the Air Force Office of Scientific Research supported my research projects on various subjects now summarized here; it is a pleasure to acknowledge their lively understanding of basic science. Both REINHOLD BAER and JOSEF SCHMID read and commented on my entire manuscript; their advice has led to many improvements. ANDERS KOCK and JACQUES RIGUET have read the entire galley proof and caught many slips and obscurities. Among the others whose sug gestions have served me well, I note FRANK ADAMS, LOUIS AUSLANDER, WILFRED COCKCROFT, ALBRECHT DOLD, GEOFFREY HORROCKS, FRIED RICH KASCH, JOHANN LEICHT, ARUNAS LIULEVICIUS, JOHN MOORE, DIE TER PUPPE, JOSEPH YAO, and a number of my current students at the University of Chicago  not to m~ntion the auditors of my lectures at Chicago, Heidelberg, Bonn, Frankfurt, and Aarhus. My wife, DOROTHY, has cheerfully typed more versions of more chapters than she would like to count. Messrs
71 editions published between 1963 and 2009 in 4 languages and held by 1,166 WorldCat member libraries worldwide
In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL LING. A further development of homological ideas, with a view to their topological applications, came in my long collaboration with SAMUEL ElLENBERG; to both collaborators, especial thanks. For many years the Air Force Office of Scientific Research supported my research projects on various subjects now summarized here; it is a pleasure to acknowledge their lively understanding of basic science. Both REINHOLD BAER and JOSEF SCHMID read and commented on my entire manuscript; their advice has led to many improvements. ANDERS KOCK and JACQUES RIGUET have read the entire galley proof and caught many slips and obscurities. Among the others whose sug gestions have served me well, I note FRANK ADAMS, LOUIS AUSLANDER, WILFRED COCKCROFT, ALBRECHT DOLD, GEOFFREY HORROCKS, FRIED RICH KASCH, JOHANN LEICHT, ARUNAS LIULEVICIUS, JOHN MOORE, DIE TER PUPPE, JOSEPH YAO, and a number of my current students at the University of Chicago  not to m~ntion the auditors of my lectures at Chicago, Heidelberg, Bonn, Frankfurt, and Aarhus. My wife, DOROTHY, has cheerfully typed more versions of more chapters than she would like to count. Messrs
Mathematics, form and function by
Saunders Mac Lane(
Book
)
20 editions published between 1986 and 2012 in English and Japanese and held by 978 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 PourEl, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin
20 editions published between 1986 and 2012 in English and Japanese and held by 978 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 PourEl, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin
Reports of the Midwest Category Seminar II by
Midwest Category Seminar(
Book
)
19 editions published between 1965 and 2006 in English and held by 559 WorldCat member libraries worldwide
19 editions published between 1965 and 2006 in English and held by 559 WorldCat member libraries worldwide
Reports of the Midwest Category Seminar III by
Saunders Mac Lane(
Book
)
22 editions published between 1969 and 2006 in English and Undetermined and held by 554 WorldCat member libraries worldwide
22 editions published between 1969 and 2006 in English and Undetermined and held by 554 WorldCat member libraries worldwide
Reports of the Midwest category seminar IV by
S MacLane(
Book
)
26 editions published between 1968 and 2008 in English and held by 529 WorldCat member libraries worldwide
26 editions published between 1968 and 2008 in English and held by 529 WorldCat member libraries worldwide
Reports of the Midwest Category Seminar V by
Michel André(
Book
)
15 editions published between 1971 and 2006 in English and held by 518 WorldCat member libraries worldwide
15 editions published between 1971 and 2006 in English and held by 518 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 501 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
24 editions published between 1992 and 2010 in 3 languages and held by 501 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
Selected papers by
Saunders MacLane(
Book
)
17 editions published between 1979 and 2017 in English and German and held by 452 WorldCat member libraries worldwide
17 editions published between 1979 and 2017 in English and German and held by 452 WorldCat member libraries worldwide
A brief survey of modern algebra by
Garrett Birkhoff(
Book
)
31 editions published between 1953 and 1967 in English and held by 363 WorldCat member libraries worldwide
31 editions published between 1953 and 1967 in English and held by 363 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 265 WorldCat member libraries worldwide
7 editions published in 1977 in English and held by 265 WorldCat member libraries worldwide
EilenbergMac Lane, collected works by
Samuel Eilenberg(
Book
)
12 editions published between 1985 and 1986 in English and Undetermined and held by 243 WorldCat member libraries worldwide
12 editions published between 1985 and 1986 in English and Undetermined and held by 243 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 193 WorldCat member libraries worldwide
11 editions published in 1990 in English and held by 193 WorldCat member libraries worldwide
Simplicial topology; lectures [in] Math 352 A [delivered at the University of Chicago] Winter 1959 by
Saunders Mac Lane(
Book
)
22 editions published between 1959 and 1960 in English and Undetermined and held by 181 WorldCat member libraries worldwide
22 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
)
10 editions published in 1964 in English and held by 167 WorldCat member libraries worldwide
10 editions published in 1964 in English and held by 167 WorldCat member libraries worldwide
Categorical topology and its relation to analysis, algebra and combinatorics : Prague, Czechoslovakia, 2227 August 1988(
Book
)
12 editions published between 1988 and 1989 in English and held by 115 WorldCat member libraries worldwide
12 editions published between 1988 and 1989 in English and held by 115 WorldCat member libraries worldwide
Algèbre by
Saunders Mac Lane(
Book
)
13 editions published between 1970 and 1983 in French and held by 101 WorldCat member libraries worldwide
13 editions published between 1970 and 1983 in French and held by 101 WorldCat member libraries worldwide
Proceedings of the Conference on Categorical Algebra, La Jolla, 1965 by
S Eilenberg(
)
6 editions published in 1966 in English and Undetermined and held by 98 WorldCat member libraries worldwide
This volume contains the articles contributed to the Conference on Categorical Algebra, held June 712,1965, 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 thirtyseven 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 SpringerVerlag for publishing these Proceedings in a surprisingly short time after receiving the manu scripts
6 editions published in 1966 in English and Undetermined and held by 98 WorldCat member libraries worldwide
This volume contains the articles contributed to the Conference on Categorical Algebra, held June 712,1965, 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 thirtyseven 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 SpringerVerlag for publishing these Proceedings in a surprisingly short time after receiving the manu scripts
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Related Identities
 Birkhoff, Garrett 19111996 Bibliographic antecedent Author of introduction Author
 Midwest Category Seminar
 André, M. (Michel) Author
 Barr, Michael Other Author
 Applegate, H. Other Author
 Gray, John W. (John Walker) 1931 Author Editor
 Moerdijk, Ieke
 Kaplansky, Irving 19172006 Editor
 Eilenberg, Samuel Other Author Editor
 Fitzgerald, Anne 1949 Editor
Useful Links
Associated Subjects
Abelian groups Algebra Algebra, Abstract Algebra, Homological Algebraic topology American Mathematical Society Axiomatic set theory Büchi, J. Richard Categories (Mathematics) China Cobb, Jewel Plummer, Combinatorial analysis Determinants Developing countries Educational technology Functor theory Hackerman, Norman Homology theory Ktheory Logic, Symbolic and mathematical Machine theory Mac Lane, Saunders, Mathematicians Mathematics MathematicsResearch MathematicsStudy and teaching Murray, Grover E.(Grover Elmer), Rice, Donald B Set theory Teachers Technology transfer Topological algebras Topology Toposes United States Yale University
Covers
Alternative Names
Lane, Saunders M. 19092005
Mac Lane, S.
Mac Lane, S. 1909
Mac Lane, S. 19092005
Mac Lane, S. (Saunders), 1909
Mac Lane, S. (Saunders), 19092005
Mac Lane, Saunders.
MacLane, Saunders 19092005
MacLane, S.
MacLane, S. 19092005
MacLane, S. (Saunders)
MacLane, S. (Saunders), 19092005
Maclane Saunders
MacLane, Saunders 1909
MacLane Saunders 19092005
Maklejn, S.
Mc Lane, Saunders
Mc Lane Saunders 19092005
McLane, Saunders.
McLane Saunders 19092005
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 USamerikanischer 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
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