Author(s): Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher HeerenDifference between 13th and 12th editions Side by side comparison of table of contents helps to figure out the most significant changes. |

**Key differences between 13th and 12th editions**

- Time period between current and previous publications: 4 years (2015 vs 2011).
- The Thirteenth edition of
*Mathematical Ideas*has new photos and illustrations. - Key changes in the 13th edition by chapter:
**Chapter 2:**New topic on Venn Diagrams, a convenient method to illustrate definitions of the algebra of sets.**Chapter 5:**New online section on recreational mathematics "Magic Squares"**Chapter 6:**New topic on use of signed numbers**Chapter 9:**New topic on projective geometry, a branch of geometry dealing with those properties of geometric figures that remain invariant under projection.**Chapter 10:**New topic on distinguishable arrangements.**Chapter 11:**Covers independent events in probability**Chapter 13:**New topic on recurring expenses of home ownership- Former
**Chapter 14:**"Trigonometry" has been removed, and material on trigonometry and metrics is available as online MyMathLab modules. **Chapter 14:**New topic on bacon numbers graph theory**Chapter 15:**New topic on Huntington-Hill method of seat apportionment

Mathematical Ideas

Published by: Pearson, January 03, 2015

with MyMathLab Access Card

**Hardcover**, 1088 pages

Published by: Pearson, January 03, 2015

Published by: Pearson, February 05, 2015

Published by: Pearson, January 03, 2015

Mathematical Ideas

Published by: Pearson, April 13, 2011

Published by: Pearson, January 17, 2011

with MyMathLab with Pearson eText (Access Card Package)

**Hardcover**, 1008 pages

Published by: Pearson, March 11, 2011

Books a La Carte Edition

**Loose Leaf**, 1008 pages

Published by: Pearson, January 23, 2011

Mathematical Ideas

Expanded Edition

**Hardcover**, 1088 pages

Published by: Pearson, January 12, 2007

Expanded Edition plus MyMathLab Student Access Kit

**Hardcover**, 1053 pages

Published by: Pearson, May 31, 2007