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Research Problems in Discrete Geometry - Hardcover

 
9780387238159: Research Problems in Discrete Geometry

Synopsis

Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad.

Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Important features include:

- More than 500 open problems, some old, others new and never before published

- Each chapter divided into self-contained sections, each section ending with an extensive bibliography

- A great selection of research problems for graduate students looking for a dissertation topic

- A comprehensive survey of discrete geometry, highlighting the frontiers and future of research

- More than 120 figures

- A preface to an earlier version written by the late Paul Erdos

Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute,Budapest.

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About the Author

Pach is a distinguished researcher at NYU, his book "Combinatorial Geometry," 1995, Wiley, is considered "the bible" in the area of discrete geometry. He has also published several books with Springer-Verlag.

William O.J. Moser is a Springer author as well. He has been awarded the CMS 2003 Distinguished Service Award for his sustained and significant contributions to the Canadian mathematical community.

From the Back Cover

Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad.

Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Important features include:

* More than 500 open problems, some old, others new and never before published;

* Each chapter divided into self-contained sections, each section ending with an extensive bibliography;

* A great selection of research problems for graduate students looking for a dissertation topic;

* A comprehensive survey of discrete geometry, highlighting the frontiers and future of research;

* More than 120 figures;

* A preface to an earlier version written by the late Paul Erdos.

Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest.

"About this title" may belong to another edition of this title.

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Hardcover. Condition: new. Hardcover. Discrete Geometry is the kind of area in which problems can be quickly expressed and understood by a wide audience, as usually only elementary geometry is involved. This long-awaited book is based on William O.J. Moser's problem collection that has been circulating in the community for many years. The authors state a much extended variety of problems. For each problem they provide the historical background and give comprehensive references. The book will be of great value to any graduate student and researcher in discrete geometry.Bernard Chazelle (Princeton University): "This will be a terrific book. I've had drafts of it over the years, and I can't wait to have the final version. It will be extremely popular in the discrete geometry community (where the authors are undisputed leaders). This project has my highest recommendation." Joel Spencer (NYU): "- Pach has that wonderful "Hungarian" sense of problem posing and solving. ' This is a very exciting project'" This book is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387238159

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