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Linear Algebra Thoroughly Explained

Autor Milan Vujicic Editat de Jeffrey Sanderson
en Limba Engleză Hardback – 18 dec 2007
Milan Vujicic was Professor of Theoretical Physics at the University of Belgrade and the book is based on lectures he gave there to both undergraduate and postgraduate students over a period of several decades. He also lectured on the applications of linear algebra in particle physics at the University of Adelaide and, after retirement, taught the subject at the most basic level to Teaching Diploma students at the University of Malta. It was his success in this most recent endeavour that inspired him to write this book which sets out to explain Linear Algebra from its fundamentals to the most advanced level where he, himself, used it throughout his career to solve problems involving linear and anti-linear correlations and symmetries in quantum mechanical applications.
Linear Algebra is one of the most important topics in mathematics, of interest in its own right to mathematicians, but also as an enormously powerful tool in the applied sciences, particularly in physics and engineering. 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 taught with painstaking care.
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Specificații

ISBN-13: 9783540746379
ISBN-10: 3540746374
Pagini: 247
Ilustrații: XII, 288 p.
Dimensiuni: 156 x 235 x 27 mm
Greutate: 1.32 kg
Ediția:2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

Vector Spaces.- Linear Mappings and Linear Systems.- Inner-Product Vector Spaces (Euclidean and Unitary Spaces).- Dual Spaces and the Change of Basis.- The Eigen Problem or Diagonal Form of Representing Matrices.- Tensor Product of Unitary Spaces.- The Dirac Notation in Quantum Mechanics: Dualism between Unitary Spaces (Sect. 4.1) and Isodualism between Their Superspaces (Sect. 4.7).

Recenzii

From the reviews:
"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)

Textul de pe ultima copertă

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.

Caracteristici

Subject is taught and illustrated by numerous worked examples Much more comprehensive coverage of subjects than competitors