柠檬导航

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

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...

Algebraic Curves and Surfaces

The geometry of algebraic curves and surfaces is a wide and venerable subject, and there are many monographs and textbooks aimed to graduate students and experienced researchers. The novelties of the book under review include a historical overview of the classification theorem of algebraic surfaces, from the classical results of the Italian school of Castelnuovo and Enriques to the methods of the French...

The Mathematics Teacher in the Digital Era

This volume is just one in the Springer series, Mathematics in the Digital Era, of which 22 have been published since 2012. This particular volume, published in 2022, is said to be the second edition of an earlier volume with a similar title, but different subtitle (The Mathematics Teacher in the Digital Era: An International Perspective...

Introduction to Traveling Waves

The authors wrote this book to provide students with enough background to study traveling waves and simultaneously enable them to develop some research experience of their own in that area. They had found that very little published material on traveling waves was accessible to students at the undergraduate and masters level. Accordingly, they prepared a...

Analytic Number Theory for Beginners

Analytic Number Theory for Beginners by Prapanpong Pongsriiam covers a lot of material in under 400 pages. It is primarily a graduate textbook. It could be used as an undergraduate text: roughly speaking the first third of the book is undergraduate material and the remaining two thirds is graduate-level material, but the writing is a bit terse for an undergraduate text....

Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

George Bernard Shaw once observed that 鈥渢he British and Americans are two great peoples divided by a common tongue鈥�. Having read several of Buckminster Fuller鈥檚 books on Synergetics as well as being trained to write professional mathematics, this reviewer previously concluded that the same was true for design thinkers and mathematicians. And yet they often...

The Calculus of Braids

This book is intended as an introductory braid theory textbook. It begins with a chapter modelizingbraids, from both geometric and algebraic perspectives, and setting out the braid isotopy problem, i.e. given two braids (in either diagram or braid word form), can we determine whether they represent braids isotopic to each other? Chapter 2 introduces the braid group 饾惖饾憶Bn, along...

Excursions in Multiplicative Number Theory

The subject matter of this book is arithmetic functions (that is, functions de铿乶ed on the positive integers), and usually multiplicative functions (arithmetic functions ff that satisfy f(mn)=f(m)f(n)f(mn)=f(m)f(n) when mm and nn are relatively prime). Multiplicative number theory is closely related to prime number theory. The focus in this book is primarily on developing asymptotic average values of multiplicative functions. This is not a comprehensive book, but it does touch on...

Advanced Problem Solving Using Maple

Subtitled 鈥淎pplied Mathematics, Operations Research, Business Analytics, and Decision Analysis鈥�, 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 鈥淲ith MAPLE鈥� for the first volume by 鈥淯sing MAPLE鈥� for the second. It is confusing, but...

Counterexamples in Measure and Integration

In Counterexamples in Measure and Integration, Schilling and K眉hn create an excellent reference text and companion reader for anyone interested in deepening their understanding of measure theory. As we all know, and as the text explicitly states, students of mathematics will 鈥済ain a better understanding of a theorem or theory if [they know] its limitations...

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