Chris Blanksby's Books

Around the Unit Circle

Mahler Measure, Integer Matrices and Roots of Unity

By: James McKee,Chris Smyth

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Around the Unit Circle

Mahler Measure, Integer Matrices and Roots of Unity

By: James McKee,Chris Smyth

Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zassenhaus Conjecture. Other known results are included with new, streamlined proofs. Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book. One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices. In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work. Many Mahler measure results are proved for restricted sets of polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary background from algebraic number theory, graph theory, and other prerequisites, along with tables of one- and two-variable integer polynomials with small Mahler measure. All theorems are well motivated and presented in an accessible way. Numerous exercises at various levels are given, including some for computer programming. A wide range of stimulating open problems is also included. At the end of each chapter there is a glossary of newly introduced concepts and definitions. Around the Unit Circle is written in a friendly, lucid, enjoyable style, without sacrificing mathematical rigour. It is intended for lecture courses at the graduate level, and will also be a valuable reference for researchers interested in Mahler measure. Essentially self-contained, this textbook should also be accessible to well-prepared upper-level undergraduates.

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Page Count

444

Publisher

Springer Nature

Published Date

ISBN 10

3030800318

ISBN 13

9783030800314

Urban Flood Management

By: Chris Zevenbergen,Adrian Cashman,Niki Evelpidou,Erik Pasche,Stephen Garvin,Richard Ashley

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Urban Flood Management

By: Chris Zevenbergen,Adrian Cashman,Niki Evelpidou,Erik Pasche,Stephen Garvin,Richard Ashley

Along with windstorms, floods are the most common and widespread of all natural disasters. Although they can often be predicted, they cause loss of life, damage and destruction, as many urban communities are located near coasts and rivers. In terms of victims, floods are responsible for more than half the deaths caused by natural catastrophes. As f

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Page Count

338

Publisher

CRC Press

Published Date

ISBN 10

1439894337

ISBN 13

9781439894330

Best Synthetic Methods

Organophosphorus (V) Chemistry

By: Chris Timperley

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Best Synthetic Methods

Organophosphorus (V) Chemistry

By: Chris Timperley

Best Synthetic Methods: Organophosphorus (V) Chemistry provides systematic coverage of the most common classes of pentavalent organophosphorus compounds and reagents (including phosphonyl, phosphoryl, and organophosphates), and allows researchers an easy point of entry into this complex and economically important field. The book follows the Best Synthetic Methods format, containing practical methods, synthetic tips, and shortcuts. Where relevant, articles include toxicity data and historical context for the reactions. Typical analytical and spectroscopic data are also presented to enable scientists to identify key compound characteristics. The book is a valuable companion to research chemists in both academia and industry, summarizing the best practical methods (often originating in difficult-to-access, foreign-language primary literature) in one place. It is ideally suited for those working on industrial applications of these compounds, including insecticides, herbicides, flame retardants, and plasticizers. - Includes a mixture of tried and tested, historical methods that are proven to work, alongside new methods to provide scientists with a quick, time-saving resource of reliable methods - Includes tips and tricks to get reactions to work; important information often missing from other sources - Includes key analytical data for compounds, so scientists have one handy resource to select, perform, and analyze the best reaction

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Page Count

787

Publisher

Newnes

Published Date

ISBN 10

0080982247

ISBN 13

9780080982243

Performance-based Controls for Truck and Dog Trailer Combinations

By: Roaduser International,Chris Blanksby

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Performance-based Controls for Truck and Dog Trailer Combinations

By: Roaduser International,Chris Blanksby

Concerns raised by the road transport industry in mid 1998 regarding truck-trailer operations resulted in the NRTC commissioning Roaduser International Pty Ltd to research and assess the application of performance criteria for on-road stability, based on computer simulations. The consultant has developed the attached report which indicates in part, that the stability performance of truck-trailer combinations is dependent on the CoG of the trailer (predominantly), longitudinal dimensions and the tow coupling rear overhang. The report indicates that: truck-trailer combinations with high CoG remain of concern; acceptable stability can be achieved by adjusting critical design dimensions; the most common usage for truck-trailers appears to be for transportation of quarry products and these seem to possess adequate stability; only limited details on accidents involving truck-trailers at the higher mass limits were found; there is no evidence at this stage of significant fleet conversion.

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ISBN 10

0642544379

ISBN 13

9780642544377

Book's by Chris Blanksby

Around the Unit Circle

Around the Unit Circle

Urban Flood Management

Urban Flood Management

Best Synthetic Methods

Best Synthetic Methods

Performance-based Controls for Truck and Dog Trailer Combinations

Performance-based Controls for Truck and Dog Trailer Combinations

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