An Introduction to Matrices, Sets, and Groups for Science Students by G. Stephenson (PDF)

Description

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 inter-related, 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Excellent introduction on Group Theory. It is in plain English. The chapter on Set Theory is pretty good. Nice little book overall.

⭐Goes form easy to complicated at a good pace. Keeping on my bookshelf as a reminder/reference

⭐Concise, lucid, accessible and beautifully written.

⭐I like the stile and didatic of Prof. Stephenson and this little book does a good job to teach mainly matrices (the chapters on sets and groups are very shorts, however they are helpfuls). Its level is introdutory (but not properly elementary),the stuff is very well explained and the exercises are coherent with the text (they are essencial parts to learn and fix the matter).It lacks some things like to invert matrices by the method of elementary matrices and the Jordan canonical matrices. Out that, it’s almost a complete introduction.Because it is terse and have various topics of constante use, it is also useful as a quick reference book.I agree with the previous reviever that is best to study first some other more elementary text to a full benefit.Although a bit outdated, I recomend also the other books of Prof. Stephenson if there is interest in theirs contents: Mathematical Methods for Science Students, Partial Differential Equations for Scientists and Engineers, Advanced Methods for Engineering and Science Students.

⭐I highly recommend this Dover text as either a self-tutorial or as a quick review of matrices. I initially thought that a text for the “non-mathematics science student” might prove too elementary to be useful. It actually provides a thorough, concise (but not terse) introduction to matrices that is quite appropriate for undergraduate students in physics or chemistry. The sections on eigenvalues and eigenvectors, on diagonalization of matrices, and on functions of matrices were particularly good.I am reasonably familiar with linear algebra and matrices and read this book partially for review, but more out of general interest. I was surprised at how effectively Stephenson managed in only 150 pages to explore key topics at some depth without sacrificing his tutorial style. I am puzzled that that this book is not better known. It is quite well-written and I give it five stars. The price is quite affordable and I don’t believe that you will find a better overview of matrices at even much higher prices.Don’t be concerned that this is not a new book (first published in 1965). The matrix notation is modern and consistent with current textbooks. The author, G. Stephenson, was Emeritus Reader of Mathematics, Imperial College of Science and Technology, University of London.I also recommend two other Dover reprints. Matrices and Transformations by Anthony Pettofrezzo is a more basic introduction. An Introduction to Linear Algebra and Tensors by M. A. Akivis and V. V. Goldberg is a good next step after Stephenson’s text.

⭐and quick delivery.

⭐This book is hard to put down…This book is something that should be finished within two weeks and one week for problems. At the end you would be feeling much confident at handling physics in the class. Only downside is a short chapter of groups. I would have loved to read the extended treatment of this topic till Lie Algebra. Maybe i am asking too much.Get this text, if you want to feel confident in solving Matrix algebra is less time.

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