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Linear Algebra Thoroughly Explained

  • Textbook
  • © 2008

Accessibility Information

Overview

Editors:
  1. Milan Vujičić
  2. Jeffrey Sanderson
    1. School of Mathematics & Statistics, University of St Andrews, St Andrews, Scotland

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

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About this book

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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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XII
  2. Vector Spaces

    • Milan Vujičić, Jeffrey Sanderson
    Pages 1-57
  3. Linear Mappings and Linear Systems

    • Milan Vujičić, Jeffrey Sanderson
    Pages 59-118
  4. Inner-Product Vector Spaces (Euclidean and Unitary Spaces)

    • Milan Vujičić, Jeffrey Sanderson
    Pages 119-144
  5. Dual Spaces and the Change of Basis

    • Milan Vujičić, Jeffrey Sanderson
    Pages 145-171
  6. The Eigen Problem or Diagonal Form of Representing Matrices

    • Milan Vujičić, Jeffrey Sanderson
    Pages 173-242
  7. Tensor Product of Unitary Spaces

    • Milan Vujičić, Jeffrey Sanderson
    Pages 243-261
  8. Back Matter

    Pages 279-288

Reviews

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)

Editors and Affiliations

  • School of Mathematics & Statistics, University of St Andrews, St Andrews, Scotland

    Jeffrey Sanderson

Accessibility Information

Accessibility information for this book is coming soon. We're working to make it available as quickly as possible. Thank you for your patience.

Bibliographic Information

  • Book Title:Linear Algebra Thoroughly Explained

  • Editors:Milan Vujičić, Jeffrey Sanderson

  • DOI:https://doi.org/10.1007/978-3-540-74639-3

  • Publisher:Springer Berlin, Heidelberg

  • eBook Packages:Physics and Astronomy,Physics and Astronomy (R0)

  • Copyright Information:Springer-Verlag Berlin Heidelberg 2008

  • Hardcover ISBN:978-3-540-74637-9Published: 18 December 2007

  • Softcover ISBN:978-3-642-09410-1Published: 19 October 2010

  • eBook ISBN:978-3-540-74639-3Published: 16 November 2007

  • Edition Number:1

  • Number of Pages:XII, 288

  • Topics:Mathematical Methods in Physics,Algebra

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Access this book

eBook JPY 6863
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book JPY 8579
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info
Hardcover Book JPY 12154
Price includes VAT (Japan)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info

Tax calculation will be finalised at checkout

Other ways to access


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