Linear and Abstract Algebra

Insights

A modern mathematics textbook, with its abstract language, has always been a tough read for non-mathematicians, and a shock for college freshmen encountering it for the first time. As e.g., Nobel laureate Chen Ning Yang, a theoretical physicist and mathematician, said, There are only two kinds of math books: those you can’t read beyond the first sentence, and those you can’t read beyond the first page. To facilitate understanding of the subject and access to university texts, there are many books introductory to mathematical language and more advanced notions, among which we mention a few. They range from the more popular volumes, such as Ian Stewart’s, the author’s best and perhaps for this the only one not translated into Italian among the dozens of books published, to more advanced texts.

Modern Mathematics: Algebra, Set Theory, Logic

Ian Stewart - Concepts of Modern Mathematics, 3rd ed. (1995)
Diane L. Herrmann, Paul J. Sally Jr. - Number, Shape, & Symmetry. An Introduction to Number Theory, Geometry, and Group Theory (2012)
Tim Chartier - When Life is Linear. from Computer Graphics to Bracketology (2015)
Gerald Farin,Dianne Hansford - Practical Linear Algebra. a Geometry Toolbox, 3rd ed. (2013)
Gove Effinger, Gary L. Mullen - An Elementary Transition to Abstract Mathematics (2019)
Steve Warner - Pure Mathematics for beginners. A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra (2018)
Kevin Houston - How to Think Like a Mathematician. A Companion to Undergraduate Mathematics (2009)
Saul Stahl - Introductory Modern Algebra. A Historical Approach, 2nd ed. (2013)
Keith Devlin - Sets, Functions, and Logic: An Introduction to Abstract Mathematics (2003)
Charles C. Pinter - A Book of Set Theory
Lara Alcock - How to Think About Analysis (2018)