Textbook – Page 14 – Mathematical Association of America

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A White House Rule That Reaches Deeply into Our Discipline — and Only a Few Weeks to Respond

By Michael Pearson, Executive Director, MAA I don’t usually write to ask you to file paperwork with a federal agency. I’m writing now because the Office of Management and Budget has proposed a sweeping rewrite of the rules that govern every federal grant and cooperative agreement — 2 CFR Part 200, the “Uniform Guidance” —...

When Lightning Strikes: Prospective PIs Share their Experiences Interacting with NSF Officers in a Fast-Paced Virtual Session

By Erin Moss, Co-Editor, DUE Point, Millersville University This past March, the MAA held a virtual event in which prospective Principle Investigators each gave a five-minute Lightning Talk about a project idea they plan to submit for NSF funding. After each talk, two NSF program officers—Edgar Fuller and Mike Ferrara—provided fifteen minutes of feedback on...

A Mathematical Introduction to General Relativity

Mathematicians and mathematics students who want to learn something of general relativity can find themselves in a quandary. Some of the best books on the subject mix the mathematics in with the physics in such a way that it can be hard to distinguish physical reasoning from rigorous mathematical results. This book aims to provide...

Welcome to Real Analysis

In Welcome to Real Analysis, Benjamin B. Kennedy offers a complete and self-contained introduction to analysis that covers, and moves beyond, the foundational work of single-variable Calculus. Its subtitle, Continuity and Calculus, Distance and Dynamics reveals the author’s ambitions to explore topics across calculus and discrete dynamical systems. Kennedy’s aim is to ensure that a student’s first exposure...

Linear Algebra for Everyone

This book (hereafter LAFE) is not drastically different from the author’s standard textbook Introduction To Linear Algebra 5th edition (hereafter ILA), so I will give a brief review comparing them. Both books are texts for a first course in linear algebra. ILA is the text for MIT’s one-semester 18.06 Linear Algebra course, which covers about the first half of the book (roughly...

Computational Epidemiology: Data-Driven Modeling of COVID-19

Mathematical epidemiological modeling should have provided insight and guidance into the dynamics, prediction and control of the global pandemic we have been experiencing. Yet it did not. Despite success in predicting the spread of diseases like measles, mumps, and smallpox, the failure of modeling for the COVID-19 pandemic was clear, with predictions wrong often by orders of magnitude. What happened?...

Advanced Problem Solving Using Maple

Subtitled “Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis”, this book is the second volume of two. (The first was reviewed here). The title of the current book only differs from the title of the prior book by replacing “With MAPLE” for the first volume by “Using MAPLE” for the second. It is confusing, but...

A Course in Complex Analysis

This is a graduate-level introduction to complex function theory. The author’s elegant writing style, and interesting selection of topics, sets this book apart from the competition and makes it a good choice for a reference, or a textbook for a fairly sophisticated (one or two semester) graduate course. It is apparent from the very beginning...

Irrationality and Transcendence in Number Theory

This excellent book not only helps fill a substantial gap in the undergraduate mathematics literature, but it does so in a way that most students will, I think, find interesting, inviting and accessible. The gap I refer to concerns transcendental numbers. Most of us, I think, would have no difficulty in immediately providing an interested...

Iterative Methods and Preconditioners for Systems of Linear Equations

When I worked in high performance computing several years ago I was told that something over three-quarters of supercomputing cycles were consumed with solving linear systems of equations. Naturally, this influenced the design of computer architecture and, indeed, the speed of solving linear equations using Gaussian elimination was a primary benchmark of supercomputer performance. Solving...

Proofs and Ideas

In this textbook, Dr. Sethuraman provides an easy to follow guide to various mathematical topics, such as induction, sets, sequences, and groups, which mathematics students would need to understand in order to perform well in upper level mathematics courses. The book is written in a way so that students should not be intimidated by the...

Advanced Problem Solving with Maple A First Course

The aim of this book is to teach problem solving skills using examples from applied mathematics together with appropriate computational tools. The authors want to cover the span that goes from problem formulation to model construction and on through to analysis, testing of assumptions, and evaluation of the sensitivity of results. They rely on Maple...

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