Filed under: open textbooks

Vector Calculus

Michael Corral of Schoolcraft College has just let us know about his Vector Calculus which is available as a PDF under the GFDL. Its source will be available soon.

The book description says:

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

The book also includes discussion of numerical methods: Newton’s method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables.

There are 420 exercises in the book. Answers to selected exercises are included.

Update 2008-05-06: The LaTeX source is now available!

3 Comments April 30, 2008

Reasonable Basic Algebra

Reasonable Basic Algebra by Alain Schremmer is available under the GNU Free Documentation License (GFDL). Chapters are available for download separately, or as a single PDF (18.4mb). Alain also has other texts in development at his site, Free Math Texts.

Update 2009-11-14: Link corrections done to fix errors. Update 2008-04-16: After contacting Alain, he’s told me that the source material for the textbook is also available. He also said its worth noting that the text is part of a “package including homeworks, tests, exams, etc.” and that it is “a standalone version of part of what is to be a three semester volume text, starting with arithmetic and ending with differential calculus”. We’ll certainly look forward to seeing this develop!

1 Comment April 8, 2008

Openmathtext.org

After corresponding with Dr. David Santos of Openmathtext.org, he’s agreed to gradually phase out use of the Open Publication License with the noncommercial option, and to start using a license compatible with the Open Knowledge Definition.

Several of the books on the site’s download site are now available under the GFDL, including:

  • Elementary Algebra Lecture Notes
  • Precalculus I and II Lecture Notes
  • Linear Algebra Notes
  • Number Theory Notes

Many thanks, David!

5 Comments December 19, 2007

Textbooks on military medicine from the Borden Institute

The Borden Institute, part of the US Army Medical Department Center & School publish a series of textbooks which

constitute a comprehensive treatise on the art and science of military medicine, covering such diverse topics as military preventive medicine, military medical ethics, harsh environments, and care of combat injuries.
Titles in the series include:
  • Recruit Medicine (2006)
  • Military Preventive Medicine: Mobilization and Deployment, Vol 2 (2005)
  • Military Medical Ethics Vol. 1 (2003)
  • Military Preventive Medicine: Mobilization and Deployment, Vol 1 (2003)
  • Ophthalmic Care of the Combat Casualty (2003)
  • Medical Aspects of Harsh Environments, Vol 1 (2002)
  • Medical Aspects of Harsh Environments, Vol 2 (2002)
  • Rehabilitation of the Injured Combatant, Vol 2 (1999)
  • Rehabilitation of the Injured Combatant, Vol 1 (1998)
  • Medical Aspects of Chemical and Biological Warfare (1997)
  • Anesthesia and Perioperative Care of the Combat Casualty (1995)
  • War Psychiatry (1995)
  • Military Psychiatry: Preparing in Peace for War (1994)
  • Military Dermatology (1994)
  • Occupational Health: The Soldier and the Industrial Base (1993)
  • Conventional Warfare: Ballistic, Blast, and Burn Injuries (1991)
  • Medical Consequences of Nuclear Warfare (1989)
Individual books are linked to on the published volumes page and are made available as a collection of chapters in PDF format.

Many of the textbook chapters seem to be produced by military personnel as part of their official duties – and hence are effectively in the public domain. This is reinforced by the privacy and security page which states:

Information presented on this web site is considered public information and may be distributed or copied. Use of appropriate byline/photo/image credits is requested.
However, any material which is not produced by military personnel or US government employees in the course of their duty may be copyrighted – and hence permission should be sought. To emphasize this, it is stated in the front matter of the series:
NO COPYRIGHTED PARTS OF THIS PUBLICATION MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM OR BY ANY MEANS, ELECTRONIC OR MECHANICAL (INCLUDING PHOTOCOPY, RECORDING, OR ANY INFORMATION STORAGE AND RETRIEVAL SYSTEM) WITHOUT PERMISSION IN WRITING FROM THE PUBLISHER OR COPYRIGHT OWNER
Hence while in principle the contents of many of these books should be open, I’ve also tagged this post ‘non-open’ as its worth checking. It would be great if the Borden Institute made it clearer for each book what material is in the public domain and what material is copyrighted!

1 Comment November 29, 2007

Potto Project – Engineering textbooks

The Potto Project was started by Dr. Genick Bar-Meir to produce and distribute high quality open textbooks. Books are made available in pdf, LaTeX, dvi and postscript under the GFDL. So far the main books are ‘Fundamentals of Compressible Flow’ and ‘Fundamentals of Die Casting Design’, both available from the downloads page.

4 Comments October 24, 2007

‘Elements of the Differential and Integral Calculus’ by William Granville

Elements of the Differential and Integral Calculus (Revised edition) by William Anthony Granville was published in 1941 and so is in the public domain in some jurisdictions. A set of scans is available at Internet Archive. Thanks to David Joyner of Open Source Mathematics for this.

4 Comments October 16, 2007

‘Introduction to Methods of Applied Mathematics’ by Sean Mauch

Here’s Introduction to Methods of Applied Mathematics (alternately titled ‘Advanced Mathematical Methods for Scientists and Engineers’) by Sean Mauch at Caltech. As well as stating the book is ‘open source’ on his website, the text carries the following notice:

Anti-Copyright @ 1995-2001 by Mauch Publishing Company, un-Incorporated. No rights reserved. Any part of this publication may be reproduced, stored in a retrieval system, transmitted or desecrated without permission.
Its latex source is also available. Thanks to David Joyner of Open Source Mathematics for this!

3 Comments October 15, 2007

‘Ears and Eyes’ by Benjamin Crowell

Eyes and Ears: An Anthology of Melodies for Sight-Singing by Benjamin Crowell is available under a CC-BY-SA license. The LaTeX source is also available.

Leave a Comment October 9, 2007

‘Calculus’ by Benjamin Crowell

Calculus by Benjamin Crowell is available under either a CC-BY-SA or a GFDL license. The LaTeX source is also available.

2 Comments October 9, 2007

‘An introduction to group theory’

An introduction to group theory was written by Tony Gaglione of the US Naval Research Laboratory in 1992. It is in the public domain and its source files are made available.

(Thanks to David Joyner of Open Source Mathematics for this!)

2 Comments October 5, 2007

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