**Textbook:**Abstract Algebra: Theory and Applications

**Author(s):**Judson

**Reviewer:**Linda Pedersen, Professor of Mathematics

**Review Date:**May, 2012

**Reviewer’s Summary**This textbook is recommended for upper level undergraduates and advanced classes at the community college level. It is appropriate for math and science majors. This text is well designed, innovative in its approach, and very adaptable. In contrast to the usual approach, the author introduces examples first, followed by proofs and formal definitions. The exercises are well chosen to expand on the concepts, and answers are provided. Each chapter includes sections on history and applications of the theory. The author also introduces the excellent open source math software Sage. A strong math background is necessary to follow the examples, including some understanding of calculus, linear algebra and number theory.

**Textbook:**Applied Finite Mathematics

**Author(s):**Sekhon

**Reviewer:**Shane Tang, Math Instructor, Salt Lake Community College

**Reviewer’s Summary**I recommend this book for undergraduates. The content is especially useful for those in finance, probability statistics, and linear programming. The course material is consistent, and the use of money, coins, cards, and marbles make it relevant for all races and ethnicities.

**Textbook:**Dimensions

**Author(s):**Leys, Ghys, and Alvarez

**Reviewer:**Rob Knight, Math Professor, Evergreen Valley College

**Reviewer’s Summary**I think this resource is extremely appropriate as an adjunct teaching aid for a course in geometry. It is a robust resource for the exploration of some very interesting topics in geometry. “Dimensions” is not actually a textbook but a multimedia presentation using two formats–a video format and a text that is presented in a web format, which is very readable.

**Textbook:**Elementary Algebra

**Author(s):**Burzynski and Ellis

**Reviewer:**Rob Knight, Math Professor, Evergreen Valley College

**Reviewer’s Summary**I recommend this book for courses in elementary algebra. The chapters are fairly clear and comprehensible, making them quite readable. The authors do a particularly nice job in presenting the concepts of terms and factors, as well as other important algebraic concepts. The PDF file should include links.

**Textbook:**A First Course in Linear Algebra

**Author(s):**Beezer

**Reviewer:**Dr. Ab Kader, part-time faculty, University of Phoenix and Notre Dame de Namur University

**Reviewer’s Summary**I recommend this book for junior and senior level students with advanced mathematical maturity majoring in mathematics, physics, and all branches of engineering. The core of the text is excellent. The writing style is friendly and conversational. The common sense segues into abstract material which aids comprehension without sacrificing rigor. Archetypes are used throughout. The author did an outstanding job designing those. They serve as rich examples that guide students in investigating the major concepts of linear algebra. The core is modular and can be modified based on class level.

**Textbook:**Fundamentals of Mathematics

**Author(s):**Burzynski and Ellis

**Reviewer:**Rob Knight, Math Professor, Evergreen Valley College

**Reviewer’s Summary**I would recommend this text for a basic math course for students moving on to elementary algebra. The information in most chapters is useful, very clear, and easily comprehended by most students. The reading level is appropriate to a first-year college student. While I recommend some organizational changes, something as simple as including ethnically diverse first names in word problems can indeed appeal to students of many races

**Textbook:**Intermediate Algebra

**Author(s):**Dept. of Mathematics, College of the Redwoods

**Reviewer:**Kara Monroe, Executive Director, Center for Instructional Technology, Ivy Tech Community College

**Review Date:**February, 2012

**Reviewer’s Summary**I recommend this book, but not as the primary text. The text is well written and mathematically accurate, and provides in-depth coverage of the essential materials of most intermediate algebra courses. I would suggest it as a reference/supplementary text in an online class.

**Textbook:**Math In Society

**Author(s):**Lippman

**Reviewer:**Vicky Moyle, Instructor, General Studies, Mathematics, Bellingham Technical College

**Reviewer’s Summary**I recommend this book for community or technical college, year 2, non-math, liberal arts majors. This text provides rich discussion of many topics where students may not consider mathematical thinking is involved. It is good primary text for various topics in mathematics and mathematical decision-making for novice and liberal arts students in community and technical colleges. The exercise sets contain “Skills”, “Concepts”, and “Exploration” divisions–which adds to clarity and comprehensibility.

**Textbook:**Understanding Algebra

**Author(s):**Brennan

**Reviewer:**Rob Knight, Math Professor, Evergreen Valley College

**Reviewer’s Summary**I recommend this textbook for beginning algebra students. The author’s writing style is very readable, making the chapters very clear and comprehensible. Content is very appropriate and useful. While I recommend some organizational and content changes in several of the chapters, I would also include text problem examples that use names of students from diverse ethnicities.

**Textbook:**Vector Calculus

**Author(s):**Corral

**Reviewer:**Dr. Ab Kader, part-time faculty, University of Phoenix and Notre Dame de Namur University

**Reviewer’s Summary**I would definitely use this excellent book to teach an undergraduate course. It is very well written, makes good use of exercises, and its use of visuals to bring the concepts to life is just magnificent. The PDF format is very readable. The author does a very good job of smoothly extending what the student already knows in one dimension to two and three-dimensional Euclidean spaces. The content gets more sophisticated and complex so it should be geared towards college juniors or seniors.