Linear Algebra Thoroughly Explained

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9783642094101: Linear Algebra Thoroughly Explained
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The author of this book was Professor of Theoretical Physics at the University of Belgrade. The book is based on lectures he gave there to both undergraduate and postgraduate students over a period of several decades. It sets out to explain Linear Algebra from its fundamentals to the most advanced level. A special feature of this book is its didactical approach, with a myriad of thoroughly worked examples and excellent illustrations, which allows the reader to approach the subject from any level and to proceed to that of the most advanced applications. Throughout, the subject is explained with painstaking care.

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Linear Algebra Thoroughly Explained provides a comprehensive introduction to the subject suitable for adoption as a self-contained text for courses at undergraduate and postgraduate level. The clear and comprehensive presentation of the basic theory is illustrated throughout with an abundance of worked examples.

The book is written for teachers and students of linear algebra at all levels and across mathematics and the applied sciences, particularly physics and engineering. It will also be an invaluable addition to research libraries as a comprehensive resource book for the subject.

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"It is based on lectures by the author ... to both undergraduate and graduate students in Europe over a period of several decades. ... it does have some parts that are appropriate for undergraduates and others seem to be intended for more advanced students. ... Examples throughout the book are geared toward quantum theory, and unitary and Hermitian matrices are treated thoroughly. ... students whose specific objective is to prepare for the study of quantum mechanics will find it useful for self-study." (David S. Watkins, SIAM Review, Vol. 51 (3), 2009)

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