This book consists of two parts: one, a primer designed to provide an adequate introduction to the essentials of abstract algebra and to some related number theory, and two, a workbook designed to enable the reader to interactively engage with colleagues in exploring the fascinating world of abstract algebra.
We have taken a problem solving approach -- the primer alone contains over 130 problems. So be prepared for minimal text material to read, combined with worksheets that extend and enhance text topics. These worksheets are designed to encourage discovery of interesting relationships between algebraic structures, geometry, mappings, and proofs. Very little, if any, background in abstract algebra is needed for a course based on this Primer and the workbook.
This material has been used successfully for over a decade with in-service secondary teachers seeking licensure or an MA degree in teaching mathematics. In this book we embrace the oft-quoted maxim - ``You learn mathematics by doing mathematics.'' Such an effort leads to better understanding and deeper learning.
Finally, a valuable by-product: A significant number of teachers who have studied this material have incorporated a variety of the worksheets into their secondary curriculum as they encounter topics like closure, binary operations and their properties, modular arithmetic, and the structure of the integers (yes, GCD and LCM show up), and the rational and real numbers.
This book is rebound under an open source license and is available in electronic format for free at http://www.openmathbooks.org/someabstract/.
A inexpensive print version of the text is available on Amazon. This should be cheaper than printing the entire book and binding it yourself.
If you would like to print just what you need, or if you would like to view the book electronically, you can download the full pdf of the book, or the pdfs of the primer and workbook separately:
Note that the page numbers for the workbook (both as part of the full pdf and stand alone file) do not match the print edition. This is because the printed version has the workbook printed one sided to allow extra room to work, but the pdfs do not have this (you can choose to print one- or two-sided at your discretion).
The LaTeX source of both the primer and workbook are available on GitHub.