Applied Math – Mathematical Association of America

Featured Resources

There and Back Again: The Professor I Never Trained to Be

By Lew Ludwig “Alright, now that we understand how to write in the dominant impression, our next essay will use a structure known as “they say/I say” which is like engaging a conversation already in progress.” “Now that we have completed our empathy map and have a better understanding of our stakeholders, we will now start...

Debunking a prominent feature of the “Mediterranean diet” health claim

By Keith Devlin @KeithDevlin@fediscience.org, @profkeithdevlin.bsky.social Last month’s post discussed the subtle (and not so subtle) difficulties that can arise when using statistics to identify causes of phenomena. The example I used that time was the probability that use of the popular pain-reliever Tylenol by a pregnant woman led to an increased risk of her child being...

Computability and Complexity

This book provides an introduction to the theory of computation. It is aimed primarily at undergraduate computer science students who are comfortable with mathematical notation, definitions and proofs, and especially with reading a detailed mathematical presentation. The author also intends his book to be useful to others in disciplines that depend in some way on...

Matrix Models for Population, Disease, and Evolution

This volume in the AMS Student Mathematical Library series develops and explores models of population dynamics that use linear algebra and matrix theory. It does so in considerable detail, but required background for the reader is not extensive. First courses in multidimensional calculus and linear algebra or matrix theory would be sufficient. Some more advanced...

Quantum Computation and Quantum Information: A Mathematical Perspective

This book is designed to be a textbook for a one-semester course in quantum computing and quantum information theory. Recommended prerequisites includes basic undergraduate finite probability theory, linear algebra, and some abstract algebra up through group theory. Some parts of the book are more challenging – particularly the later ones - and probably a better...

The Mathematics of Cellular Automata

This book is part of the AMS Student Mathematical Library series. Its goal is to introduce advanced undergraduate mathematics majors to dynamical systems via a course that focuses on cellular automata. A cellular automaton, roughly speaking, can be regarded as a regular grid – in any number of dimensions - consisting of cells, each of...

Introduction to Quantum Algorithms

This is an introduction to quantum computation that focuses specifically on quantum algorithms that manipulate qubits. The replacement of the bits representing “0” or “1” in classical computing by qubits that can exist in superposition means that a quantum register with several qubits could retain and process exponentially more information, and that is the key....

Shock Waves

The aim of this book is to present the fundamentals of shock wave theory. In most respects this is a subject within the scope of partial differential equations, but this text goes well beyond the standard theory. Stokes and Riemann were pioneers in this area. Their efforts, as with much of the succeeding work, were...