Communicating Mathematics

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Brand new. We distribute directly for the publisher. This volume contains the proceedings of a conference held in July, 2007 at the University of Minnesota, Duluth, in honor of ... Joseph A. Gallian's 65th birthday and the 30th anniversary of the Duluth Research Experience for Undergraduates.In keeping with Gallian's extraordinary expository ability and broad mathematical interests, the articles in this volume span a wide variety of mathematical topics, including algebraic topology, combinatorics, design theory, forcing, game theory, geometry, graph theory, group theory, optimization, and probability.Some of the papers are purely expository while others are research articles. The papers are intended to be accessible to a general mathematics audience, including first-year or second-year graduate students. This volume should be especially useful for mathematicians seeking a new research area, as well as those looking to enrich themselves and their research programs by learning about problems and techniques used in other areas of mathematics. Read more Show Less

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Overview

This volume contains the proceedings of a conference held in July, 2007 at the University of Minnesota, Duluth, in honor of Joseph A. Gallian's 65th birthday and the 30th anniversary of the Duluth Research Experience for Undergraduates. In keeping with Gallian's extraordinary expository ability and broad mathematical interests, the articles in this volume span a wide variety of mathematical topics, including algebraic topology, combinatorics, design theory, forcing, game theory, geometry, graph theory, group theory, optimization, and probability. Some of the papers are purely expository while others are research articles. The papers are intended to be accessible to a general mathematics audience, including first-year or second-year graduate students. This volume should be especially useful for mathematicians seeking a new research area, as well as those looking to enrich themselves and their research programs by learning about problems and techniques used in other areas of mathematics.

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Product Details

Table of Contents

A journey of discovery: Orthogonal matrices and wireless communications Sarah Spence Adams Adams, Sarah Spence 1

Probabilistic expectations on unstructured spaces John Beam Beam, John 11

A beginner's guide to forcing Timothy Y. Chow Chow, Timothy Y. 25

Higher order necessary conditions in smooth constrained optimization Elena Constantin Constantin, Elena 41

Hamiltonian paths and hyperbolic patterns Douglas Dunham Dunham, Douglas 51

When graph theory meets knot theory Joel S. Foisy Foisy, Joel S. Lewis D. Ludwig Ludwig, Lewis D. 67

Can an asymmetric power structure always be achieved? Jane Friedman Friedman, Jane Cameron Parker Parker, Cameron 87

McKay's canonical graph labeling algorithm Stephen G. Hartke Hartke, Stephen G. A. J. Radcliffe Radcliffe, A. J. 99

A multiplicative deformation of the Mobius function for the poset of partitions of a multiset Patricia Hersh Hersh, Patricia Robert Kleinberg Kleinberg, Robert 113

Communicating, mathematics, communicating mathematics - Joe Gallian style Aparna Higgins Higgins, Aparna 119

Fair allocation methods for coalition games David Housman Housman, David 127

Sums-of-squares formulas Daniel C. Isaksen Isaksen, Daniel C. 157

Product-free subsets of groups, then and now Kiran S. Kedlaya Kedlaya, Kiran S. 169

Generalizations of product-free subsets Kiran S. Kedlaya Kedlaya, Kiran S. Xuancheng Shao Shao, Xuancheng 179

What is a superrigid subgroup? Dave Witte Morris Morris, Dave Witte 189

Averaging points two at a time David Petrie Moulton Moulton, David Petrie 207

Vertex algebras as twisted bialgebras: On a theorem of Borcherds Manish M. Patnaik Patnaik, Manish M. 223

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