P.P.G. Dyke – författare

The papers contained in this volume were presented orally at the seventh POLYMODEL conference, held at Sunderland Polytechnic in the United King­ dom in May 1984 and sponsored by Barclays Bank PLC and Imperial Chemical Industries Ltd. The conferences are organised annually by the North East of England Polytechnic's Mathematical Modelling and Computer Simulation Group - POLYMODEL. The Group is a non-profit making organisation based on the mathematics department of the three polytechnics in the region and has membership drawn from those educational institutions and from regional industry. Its objective is to promote research and collaboration in mathematical and computer-based modelling. After a short introductory chapter, the volume may be considered as dividing naturally into four parts. Chapters 2 to 5 constitute the first part on Tides, Storm Surges and Coastal Circulations which deals with the hydrodynamics of coastal seas. Chapters 6 to 11 concern Coastal Engine­ ering Modelling and discuss such coastal phenomena as beach erosion, sediment transport, and non-linear waves. The third part (Chapters 12 to 16) on Offshore Structures considers sea structures in general and the connections between the structures (hoses, moorings, pipelines) in particular. The last two chapters focus on Offshore Corrosion problems.

This book has been primarily written for the student of mathematics who is in the second year or the early part of the third year of an undergraduate course. It will also be very useful for students of engineering and the physical sciences for whom Laplace Transforms continue to be an extremely useful tool. The book demands no more than an elementary knowledge of calculus and linear algebra of the type found in many first year mathematics modules for applied subjects. For mathematics majors and specialists, it is not the mathematics that will be challenging but the applications to the real world. The author is in the privileged position of having spent ten or so years outside mathematics in an engineering environment where the Laplace Transform is used in anger to solve real problems, as well as spending rather more years within mathematics where accuracy and logic are of primary importance. This book is written unashamedly from the point of view of the applied mathematician. The Laplace Transform has a rather strange place in mathematics. There is no doubt that it is a topic worthy of study by applied mathematicians who have one eye on the wealth of applications; indeed it is often called Operational Calculus.

The papers contained in this volume were presented orally at the seventh POLYMODEL conference, held at Sunderland Polytechnic in the United King­ dom in May 1984 and sponsored by Barclays Bank PLC and Imperial Chemical Industries Ltd. The conferences are organised annually by the North East of England Polytechnic''s Mathematical Modelling and Computer Simulation Group - POLYMODEL. The Group is a non-profit making organisation based on the mathematics department of the three polytechnics in the region and has membership drawn from those educational institutions and from regional industry. Its objective is to promote research and collaboration in mathematical and computer-based modelling. After a short introductory chapter, the volume may be considered as dividing naturally into four parts. Chapters 2 to 5 constitute the first part on Tides, Storm Surges and Coastal Circulations which deals with the hydrodynamics of coastal seas. Chapters 6 to 11 concern Coastal Engine­ ering Modelling and discuss such coastal phenomena as beach erosion, sediment transport, and non-linear waves. The third part (Chapters 12 to 16) on Offshore Structures considers sea structures in general and the connections between the structures (hoses, moorings, pipelines) in particular. The last two chapters focus on Offshore Corrosion problems.

This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source.

Based on over twenty years' experience as supervisor and external examiner of project work in mathematics, Phil Dyke shows you how to get the best out of degree projects and case studies in mathematics. There are guidelines on setting up a project - be it individual or group - advice on time management, and tips on how to get the most out of verbal presentations and how to succeed in peer assessment. Pointers as to what the assessor will be looking for and advice on the all-important project write-up also provide an essential head start. This practical guide will be essential reading for students in the second or final year of a mathematics degree - or other courses with a high mathematical content - and a useful resource for lecturers and project advisors looking for ideas on how to devise, assess and manage projects.