Linear Algebra Thoroughly Explained

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Beschreibung

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.

Zusammenfassung

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. 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.

Inhaltsverzeichnis

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).

Details

Erscheinungsjahr:	2010
Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	300
Inhalt:	xii 288 S.
ISBN-13:	9783642094101
ISBN-10:	3642094104
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Vujicic, Milan
Redaktion:	Sanderson, Jeffrey
Herausgeber:	Jeffrey Sanderson
Auflage:	Softcover reprint of hardcover 1st ed. 2008
Hersteller:	Springer Berlin Springer Berlin Heidelberg
Maße:	235 x 155 x 17 mm
Von/Mit:	Milan Vujicic
Erscheinungsdatum:	19.10.2010
Gewicht:	0,458 kg

preigu-id: 107175853

Zusammenfassung

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. 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.

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2010
Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	300
Inhalt:	xii 288 S.
ISBN-13:	9783642094101
ISBN-10:	3642094104
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Vujicic, Milan
Redaktion:	Sanderson, Jeffrey
Herausgeber:	Jeffrey Sanderson
Auflage:	Softcover reprint of hardcover 1st ed. 2008
Hersteller:	Springer Berlin Springer Berlin Heidelberg
Maße:	235 x 155 x 17 mm
Von/Mit:	Milan Vujicic
Erscheinungsdatum:	19.10.2010
Gewicht:	0,458 kg