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An Introduction to Matrices, Sets and Groups for Science Students

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THIS book is written primarily for undergraduate students of science and engineering, and presents an elementary introduction to some of the major branches of modern algebra - namely, matrices, sets and groups. Of these three topics, matrices are of especial importance at undergraduate level, and consequently more space is devoted to their study than to the other two. Nevertheless the subjects are interrelated, and it is hoped that this book will give the student an insight into some of the basic connections between various mathematical concepts as well as teaching him how to manipulate the mathematics itself.

Although matrices and groups, for example, are usually taught to students in their second and third year ancillary mathematics courses, there is no inherent difficulty in the presentation of these subjects which make them intractable in the first year. In the author's opinion more should be done to bring out the importance of algebraic structures early on in an undergraduate course, even if this is at the expense of some of the more routine parts of the differential calculus. Accordingly this book has been made virtually selfcontained and relies only on a minimum of mathematical knowledge such as is required for university entrance. It should therefore be suitable for physicists, chemists and engineers at any stage of their degree course.

Various worked examples are given in the text, and problems for the reader to work are included at the end of each chapter. Answers to these problems are at the end of the book. In addition, a list of further reading matter is given which should enable the student to follow the subjects discussed here considerably farther.

The author wishes to express his thanks to Dr. I. N. Baker and Mr. D. Dunn, both of whom have read the manuscript and made numerous criticisms and suggestions which have substantially improved the text. Thanks are also due to Dr. A. N. Gordon for reading the proofs and making his usual comments.
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Materials Science and Engineering Serving Society
Materials Science and Engineering Serving Society
The goal of this symposium is to encourage collaboration in international science and engineering communities for the benefit of human kind.

The first Okinaga Symposium was held professors between the Pennsylvania State University and the Teikyo University group in Tokyo in 1993. The title was "Intelligent Engineering of Materials;
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Learning Theory: 17th Annual Conference on Learning Theory, COLT 2004, Banff, Canada, July 1-4, 2004, Proceedings
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This book constitutes the refereed proceedings of the 17th Annual Conference on Learning Theory, COLT 2004, held in Banff, Canada in July 2004.

The 46 revised full papers presented were carefully reviewed and selected from a total of 113 submissions. The papers are organized in topical sections on economics and game theory, online learning,...

Analysis and Design of Discrete Part Production Lines (Springer Optimization and Its Applications)
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Transform disparate enterprise data into actionable business intelligence

Put timely, mission-critical information in the hands of employees across your organization using Microsoft SQL Server 2005 and the comprehensive information in this unique resource. Delivering Business Intelligence with Microsoft SQL Server...

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Bestselling author Jeff Carlson is back with a fully updated revision of the  iMovie Visual QuickStart Guide. Completely overhauled for iMovie HD and iDVD 5, this book uses step-by-step instructions and loads of illustrations to get readers up to speed quickly in the process of making movies with iMovie and creating Hollywood-quality...

The Passionate Programmer: Creating a Remarkable Career in Software Development (Pragmatic Life)
The Passionate Programmer: Creating a Remarkable Career in Software Development (Pragmatic Life)
Success in today's IT environment requires you to view your career as a business endeavor. In this book, you'll learn how to become an entrepreneur, driving your career in the direction of your choosing. You'll learn how to build your software development career step by step, following the same path that you would follow if you were building,...
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