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Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Algebras, Linear. --- 512.64 --- 512.64 Linear and multilinear algebra. Matrix theory --- Linear and multilinear algebra. Matrix theory --- Algebras, Linear --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology --- Algebra. --- Matrix theory. --- Linear and Multilinear Algebras, Matrix Theory. --- Mathematics

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Algebra --- Problems, exercises, etc. --- Algèbre --- Problems, exercises, etc --- Problèmes et exercices

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This book contains selected papers from the international conference Groups - St Andrews 1985. Five leading group theorists - Bachmuth, Baumslag, Neuman, Roseblade and Tits - have presented survey articles based on short lecture courses given at the conference and the rest of the book comprises both survey and research articles contributed by other conference speakers. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its many connections with other area of mathematics. The book will prove invaluable to both experienced researchers and new postgraduates whose interests involve group theory.

Group theory

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Algebras, Linear.

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