MAA Reviews – Page 3 – Mathematical Association of America

The MAA Reviews and Basic Library List (BLL) Editorial Board manages the content for MAA Reviews, which features book reviews and maintains the Basic Library List, a collection of essential mathematics resources for community college, college, and university libraries.

Matrix Theory

This is a thoroughly modern introduction to matrix analysis, aimed at upper-division undergraduates with a modest background in linear algebra. It features many short and clever proofs, often making use of partitioned matrices and an enormous number of non-drill exercises (without hints or answers). This is a theory and proofs book; it does not cover applications at all and does not mention...

Introduction to Smooth Ergodic Theory

This is the second edition of a book first published in 2013. Its primary motivation is to introduce a subject that is a significant part of the modern theory of dynamical systems, one that arose in connection with questions in statistical physics. The idea is to present the fundamentals of the theory of smooth ergodic...

An Introduction to the Circle Method

The circle method is a technique, originated by Ramanujan, to estimate the coefficients in a generating function by expressing the coefficient in terms of an integral of the function around the unit circle in the complex plane and estimating the integral. It has been successfully applied to many problems in additive number theory, including Waring’s Problem and the ternary Goldbach Conjecture...

Educating Indigenous Children in Australian Juvenile Justice Systems

This book studies the general topic of educating juveniles, whether those convicted and under incarceration or those accused of crimes for which they are being attained. The specific focus of the book is within Australia, with a special emphasis on Aboriginal and Torres Strait Islander students, with an added focus on the education of mathematics....

From the Golden Rectangle to the Fibonacci Sequences

From the Golden Rectangle to the Fibonacci Sequences is both a stimulating read as well as a textbook covering topics from the golden ratio to Fibonacci type sequences. Each concept presented in this book is done so with precision, accompanied by appropriate definitions, and followed by rigorous mathematical proofs. One should have a familiarity with abstract...

Is Math Real?

I settled in to read the book “Is Math Real?” expecting to become embroiled in the age-old controversary of whether math is invented or math is discovered. Instead, I found myself confronted with two viewpoints of mathematics: one view is that mathematics is a stiff and fixed set of rules and algorithms while the other...

Conversational Problem Solving

Although this book is based on material accumulated while teaching the M.I.T. freshman problem solving seminar focused on the Putnam competition, it is not the usual collection of topics and tricks that constitute many “competition math” books. This book consists of a series of dialogues between a teacher (“Professor Mortimer Ignatius Blakely”) and the participants...

Sharpening Mathematical Analysis Skills

This book is a book of problems and worked out solutions covering all areas of real analysis. It should be of use to a variety of readers including, those teaching the traditional Calculus sequence, researchers who routinely deal with series, and mathematical laypeople who wish to enjoy some punchy, beautiful identities and revel at some...

Understanding Physics Using Mathematical Reasoning

The book Understanding Physics Using Mathematical Reasoning, by Andrzej Sokolowski, aims to bring clarity to the relation between some of the broad themes in mathematical reasoning and the way how basic principles of physics are typically taught. The structure of the text unfolds in three parts. In part one and two some general conceptual background is...

Introduction to Analysis in Several Variables: Advanced Calculus

The all-inclusive title of this book gives an immediate reassurance to those who believe that “Advanced Calculus” and “Real Analysis” are the same things. And well they might since courses of both names are offered at many higher institutions and often leave students scratching their heads and wondering “what’s the difference?”. Back when this reviewer was in graduate...

1 2 3 4 5 … 26