© 2015-2016 Jacob Ström, Kalle Åström, and Tomas Akenine-Möller
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"A picture says more than a thousand words" is a common expression, and for text books, it is
often the case that a figure or an illustration can replace a large number of words as well.
However, we believe that an
interactive illustration can say even more, and that is
why we have decided to build our linear algebra book around such illustrations.
We believe that these figures make it easier and faster to digest and to learn linear algebra (which would be the case for
many other mathematical books as well, for that matter). In addition, we have added some more features (e.g.,
popup windows for common linear algebra terms) to our
book, and we believe that those features will make it easier and faster to read and understand as well.
After using linear algebra for 20 years times three persons, we were ready to write a linear algebra book
that we think will make it substantially easier to learn and to teach linear algebra. In addition, the
technology of mobile devices and web browsers have improved beyond a certain threshold, so that this book
could be put together in a very novel and innovative way (we think).
The idea is to start each chapter with an intuitive concrete example that practically shows how the math
works using interactive illustrations. After that, the more formal math is introduced, and the concepts
are generalized and sometimes made more abstract. We believe it is easier to understand the entire
topic of linear algebra with a simple and concrete example cemented into the reader's mind in the beginning of
Please contact us if there are errors to report, things that you think should be improved, or if you have
ideas for better exercises etc. We sincerely look forward to hearing from you, and we will continuously
improve this book, and add contributing people to the acknowledgement.
Contact us here!
We would like to thank Gunnar Sparr for writing the book that we used when learning linear algebra,
and for some useful insights in the beginning of this project.
In addition, many thanks to the following persons:
Felix Akenine, for bug reports.
Johan Andersson, for helping with game screen shots for Chapter 3.
Alex Clayton, for bug report in Chapter 4.
Carlos Gabriel Hasbun Comandari, for language fixes in Chapter 2.
Owen Densmore, for bug fix in Chapter 5.
Jan-Harald Fredriksen, for bug reports in many chapters.
Sebastian Haner, for proofreading.
Helwig Hauser, for bug report in Chapter 6.
Mara Kim, for bug report in Chapter 1.
Martin Lindell, for helping with game screen shots for Chapter 3.
Ravi Mandliya, for language fix in Chapter 2.
Sergiu Manoliu, for proofreading.
Jacob Munkberg, for proofreading x 2.
Jim Nilsson, for proofreading.
Samuel Odeberg, for bug reports.
Carl Olsson, for helping with data to first figure of Chapter 5.
Magnus Oskarsson, for proofreading.
Niels Christian Overgaard, for proofreading.
Max Perepelitsyn, for several error reports.
Edward Richardson, for bug report in Chapter 3.
Lauri Savioja, for bug report.
Adnan Selimovic, for proofreading.
Mihai Simion, for error report.
Kevin Wang, bug report in chapter 6.
Jacob Ström, Kalle Åström, and Tomas Akenine-Möller
- 2016-06-16, v0.73:
Release of chapter 8.
- 2016-04-29, v0.6:
Release of chapter 7.
- 2015-11-25, v0.5:
Release of chapter 6, including four new videos.
- 2015-10-20, v0.41:
Release of chapter 5! Moving first page! More videos. Preview visible during loading. Improved behavior on phones and tablets.
- 2015-09-10, v0.33.6:
Corrections after suggestions from Sebastian Haner and Magnus Oskarsson
- 2015-09-14, v0.33.5:
Fixed two-finger-swipe-rotate on iPad and added videos for figures 2.2-2.4.
- 2015-09-10, v0.33.4:
Corrections after suggestions from Adnan Selimovic
- 2015-09-10, v0.33.3:
Corrections after suggestions from Niels Christian Overgaard.
- 2015-09-09, v0.33.2:
Corrections after suggestions from Sergiu Manoliu and Adnan Selimovic, plus fix of wrong links for video clips.
- 2015-09-08, v0.33.1:
Minor bug fixes.
- 2015-09-07, v0.33:
First release of our book! First four chapter out of twelve, hence v0.33.