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Selected Papers of Alan Hoffman: With Commentary
 
 
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Selected Papers of Alan Hoffman: With Commentary [Hardcover]

A. J. Hoffman (Author), Charles A. Micchelli (Author, Editor)

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Book Description

9810241984 978-9810241988 June 25, 2003
Dr Alan J Hoffman is a pioneer in linear programming, combinatorial optimization, and the study of graph spectra. In his principal research interests, which include the fields of linear inequalities, combinatorics and matrix theory, he and his collaborators have contributed fundamental concepts and theorems, many of which bear their names. This volume of Dr Hoffman's selected papers is divided into seven sections: geometry; combinatorics; matrix inequalities and eigenvalues; linear inequalities and linear programming; combinatorial optimization; greedy algorithms; and graph spectra. Dr Hoffman has supplied background commentary and anecdotal remarks for each of the selected papers. He has also provided autobiographical notes showing how he chose mathematics as his profession, and the influences and motivations which shaped his career.

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Researchers in linear programming and inequalities, combinatorics, combinatorial optimization, graph theory, matrix theory and operations research.

About the Author

Alan J Hoffman was born on May 30, 1924 in New York City. After military service, he graduated from Columbia College in 1947, and received his PhD in 1950 from Columbia University with a dissertation "On the Foundations of Inversion Geometry". He spent a year at the Institute for Advanced Study, and has worked at the National Bureau of Standards, the Office of Naval Research (London), and Management Consultation Services, General Electric Company. Until his recent retirement, he worked 41 years at the IBM T J Watson Research Center. He has also held adjunct and visiting professorships at City University of New York, Yale, Stanford, Technion, Georgia Institute of Technology, and Rutgers. His exuberance and enthusiasm in research and teaching is legendary.

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Inside This Book (learn more)
First Sentence:
In February 1943, just after taking a course on the foundations of geometry from Professor George Pfeiffer at Columbia, I joined the U.S. Army. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
standard greedy form, cyclic affine planes, unimodular property, alternating graph, lattice clutters, local unimodularity, caterer problem, greedy matrices, triangular chord, pseudoconvex sets, smallest disc containing, symmetric balanced incomplete block design, triangular association scheme, regular connected graph, lower clutter, greedy packing, balanced matrices, inversion geometry, greedy matrix, matching polytope, complete multipartite graph, simple linear programming problems, inverse edge, series parallel graphs, combinatorial theorems
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Watson Research Center, Yorktown Heights, National Bureau of Standards, Undershoot Normal Overshoot, Academic Press, Combinatorial Theory, Air Force, American Mathematical Society, Annals of Mathematics Studies, George Dantzig, Research Division, Princeton University Press, Santa Barbara, Stanford University, Department of Mathematical Sciences, Duke Math, Elsevier Science Inc, London Math, Management Sci, North-Holland Publishing Company, Office of Scientific Research, Science Record, University of Waterloo, Army Research Office
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