Transition to Advanced Mathematics – Mathematical Association of America

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The Bridge Between Uncertainty and Graduation

Just one semester away from graduation, the support of the NYC STEM Talent Fund and the Last Mile community provided a network of mentors, alumni, and advocates who helped me reach the finish line and beyond. This post is a special contribution from Delgardo Hutchinson, shared in partnership with the Last Mile Education Fund. Delgardo's...

What’s Important About UCSD’s Math Report—And What It Leaves Out

By Kyndall Brown and Robin Wilson As educators who have collectively spent 50-plus years of our lives on improving math teaching, we are normally pleased when math education gets attention in the newspapers. But a recent report from UC San Diego about declining math preparation has been a mixed blessing. Crucially, the report puts a spotlight...

Introduction to Proof Through Number Theory

Introduction to Proof Through Number Theory is a fun book that introduces students to mathematical thinking and proof writing through a deeper understanding of elementary concepts in Number Theory. The book’s informal style with humor, games, puzzles, and connections to popular culture with references to music, art, movies and literature lightens up the material without compromising...

The Math You Need

This book is designed to provide a compact and comprehensive guide to the primary subjects of undergraduate mathematics. It is aimed at current and prospective math majors who want a perspective on what their future studies might include. But it is also constructed to allow people who have studied mathematics in the past to refresh...

An Introduction to Mathematical Proofs

This volume is a textbook primarily suited for mathematics majors in mid-level major courses intended to introduce students to rigorous proof and argumentation in abstract mathematics courses. This book would be a strong choice for such a course: Those who teach introduction-to-proof courses will want to review this book and consider it as a potential...

An Elementary Transition to Abstract Mathematics

This volume is a textbook most suited to an audience of mathematics majors in mid-level courses designed for the transition point from computational courses (i.e., calculus and linear algebra) to proof-oriented upper-division courses. The book would be a strong choice as a textbook for such a course. The authors address two intertwined goals in the...

Logical Methods

This book is intended as an introduction to logic and mathematical reasoning, with a view to applications in pure mathematics, analytical philosophy, and computer science, particularly in the current context where we are witnessing the emergence and rapid development of technologies with semantic features. In terms of form, the philosophy behind this book is as...

Theoremus

In Theoremus: A Student’s Guide to Mathematical Proofs, Lito Perez Cruz addresses a subject that has been covered many times elsewhere (that is the theoretical and practical aspects of proving mathematical statements), but he does so in a unique, energetic and playful style. The book is divided into two parts. The first, which makes up about...