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An Introduction to Matrices, Sets and Groups for Science Students
An Introduction to Matrices Sets and Groups for Science Students Author:G. Stephenson Undergraduate students of physics, chemistry and engineering are increasingly aware of the need for a sure understanding of the fundamentals of matrices, sets and groups. Matrix theory, or linear algebra, has found important applications in modern physics, engineering, chemistry, statistics, business, social sciences, economics, and, of course, ... more »computer science. Because of the growing importance of this essential branch of modern algebra, more and more undergraduate curriculums now require an elementary aptitude in matrices, sets, and groups from students majoring in every type of science -- not just those students interested in mathematics.
This outstanding text offers the non-mathematics science student a concise, readable introduction to matrices, sets, and groups. Concentrating mainly on the increasingly applicable matrix theory, the book is virtually self-contained, requiring a minimum of mathematical knowledge on the part of the student and providing all the background necessary to develop a thorough understanding. Beginning with a chapter on Sets, Mappings and Transformations, Professor Stephenson, Emeritus Reader in Mathematics at the University of London, carefully guides the student through seven more useful topics: Matrix Algebra, The Inverse and Related Matrices Systems of Linear Algebraic Equations, Eigenvalues and Eigenvectors, and Diagonalisation of Matrices Functions of Matrices Group Theory.
These topics do not depend on differential calculus and are usually met for the first time at University level. Each chapter contains a selection of worked examples and many problems with answers so readers can test their understanding and ability to apply concepts. Teachers will find the text perfectly suited for the classroom environment and students will refer to it again and again throughout their undergraduate and graduate careers. Professor Stephenson's book is an invaluable addition to the libraries of all science and engineering students -- anyone who needs a brief, thorough introduction to the mathematics of matrices.« less