Textbook – Page 15 – Mathematical Association of America

Featured Resources

2025 MathFest Recap

By Erin Moss The National Science Foundation (NSF), via their Division of Undergraduate Education (DUE), offers several different grants that can be used to improve undergraduate mathematics education. The August 2025 MathFest provided multiple opportunities to find support for writing a grant application, including a poster session, a panel, and one-on-one meetings with NSF program...

Filters: Math I Still Use—Even When I’m Not Using the Math

By Delia Grenville, Ph.D. By Grade 9, I already knew I wanted to study engineering. But I didn’t realize until much later—while writing this, in fact—that engineering gave me stories about math for free. In engineering, you’re not just solving for x. You’re constantly weighing what’s known, what’s assumed, and what you can safely ignore....

Probability with STEM Applications

This text is the result of a significant revision of Probability with Applications in Engineering, Science, and Technology. While revised, the major aspects of each text are nearly identical so refer to reviews of the first edition and second edition of the old text for a general impression of the text, interesting features, and recommendations for use in the classroom. However,...

Thinking Algebraically: An Introduction to Abstract Algebra

From a teaching perspective, one of the first choices an instructor intending to teach an undergraduate course in abstract algebra has to make (or, depending on the size of the department, has made for them) is whether to cover groups or rings first. After that, the textbooks supporting these choices have almost no overlap. Sibley’s...

Linear Algebra and Its Applications

This is a good introductory text in linear algebra, although it has been largely superseded by a later book by the same author (more on that at the end of this review). This is a matrix-oriented book, although the first problem it tackles is the solution of systems of linear equations. Vectors and matrices are...

Organized Collapse: An Introduction to Discrete Morse Theory

Discrete Morse Theory is the study of discrete spaces (simplicial complexes, polyhedral complexes, CW complexes) through the use of a Morse function defined on the space. In the conceptual setup of classical Morse theory, gradient flows on a manifold equipped with a differentiable function allows the simplification of the manifold to a CW-complex determined by critical points of the Morse...

Cover of the book "Organized Collapse: An Introduction to Discrete Morse Theory" by Dmitry N. Kozlov. The design is a minimalist teal background with a wide gold stripe in the middle. The title appears in yellow text over a dark teal box in the top left corner. In the bottom left corner are the words "AMS" and "American Mathematical Society" in dark blue font.

Number Theory

It has been said many a time, by many a mathematician, that number theory is the "Queen" or "gem" of Mathematics. But if this is indeed true, then that gem lies at the bottom of an expansive ocean. Andrej Dujella's Number Theory dares to charter students across these waters known not only for their beauty but also...

A Compact Course on Linear PDEs

This book arose from a course the author taught in Italy for Masters-degree level students. In the preface, the author describes his decisions for what to include in a course on partial differential equations (PDEs) at that level. He decides to focus on linear PDEs. He notes that while most applications involve nonlinear PDEs, linear...

Delay Differential Equations and Applications to Biology

The second part of the book includes applications and examples of delay differential equations in six areas of biology. Three of these describe models for the spread of disease (including Hepatitis C and Covid19), two treat ecological models, and one describes a model of the interaction between tumors and the immune system. One of the...

Statistical Learning from a Regression Perspective

There may be two cultures of statistical modeling but sometimes a data-driven goal is truly shared. Richard A. Berk’s third edition of Statistical Learning from a Regression Perspective distills both regression and a suite of statistical learning techniques down to being fundamentally interested in the same thing: the conditional distribution of a response as a function of...

Quaternions for Computer Graphics

This book gives an exposition of how to use quaternions to perform rotations in 3-dimensional space. It deals with rotations in general and is not particularly slanted to computer graphics. It does not cover any techniques besides rotation that are useful in computer graphics. The book states (p. 3) “The over-riding objective of this book...

Introduction to Matrix Theory

This is a concise, concrete introduction to matrix theory and linear algebra, designed as a one-semester course for science and engineering students. Unusually it avoids all applications (p. v: “without any distraction towards applications”). The book is oriented towards the engineering curriculum in India, which typically allows only one semester for linear algebra or matrix...

1 … 13 14 15 16 17 … 25