This is the book I will use as a text if and when I teach linear algebra again. While it is a bit weak in the area of formal proofs, that deficiency is more than made up for by the strengths in demonstrating … more
With the exception of material such as encoding that requires a computer for the most complex problems; the area called modern algebra has not changed in decades. In fact, this is an area where the inclusion … more
The prime audience for this book is working professionals whose education required at least the first two years of the math major. To be more specific, I mean people that had to take at least a two-semester … more
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CharlesAshbacher reviewed Algebra II.
February 21, 2010
If you were once able to master the principles of algebra II and need a quick refresher, then this book may satisfy your needs. However, if you have never mastered them and need to learn them, then you … more
This book is basically a review of all the mathematics the typical child learns from kindergarten through eighth grade. Each chapter begins with a list of the terms used in the chapter and this is followed … more
"Encapsulated and compressed" is a better phrase to use in describing this 176-page book. It opens with the definition of a function and immediately proceeds to differentiation. The movement is so fast … more
The talented and extremely dedicated person can use almost any reference for successful self-study; the differences between references are in the degree of difficulty. This book is touted as "A Self-teaching … more
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CharlesAshbacher reviewed Calculus.
February 06, 2010
Unless you are preparing to take a calculus exam consisting of a series of basic differentiation and integration problems, then I really don't see any use for this book. The reviews of what differentiation … more
While this book will be of little value if you need to learn or significantly re-learn basic algebra, it is an excellent resource if you simply need a refresher to prepare for a competency or placement … more
The vast majority of problems that math students solve are based on equalities, a situation that is somewhat artificial when related to the real world. Many engineering problems are based on an inequality, … more
For reasons I cannot really explain, when I was reading this book the metaphor of an altered "Whack-A-Mole" game came to mind. The scenario is that it has been decided that a sequence of mathematical … more
The 157 problems in this book are certainly challenging and it is clear to see how they can be characterized as problems one mathematician would pose to another over coffee. Nontrivial with unusual points … more
Professor Stewart seemed to have the devil's own time finding a balance that would appeal to fans of popular mathematics. Much of his "Cabinet of Mathematical Curiosities" is positively … more
Although the Mathematical Olympiads are for high school students, the problems that appear on the exams are unusual and challenging enough to provide mathematical exercise for college students and professional … more
Whatever their personal focus is in mathematics, all mathematicians have a reverent love for numbers. Many other people also possess a fascination with numbers; this manifests itself in the large number … more
This book is a review/overview of first-year college calculus and given the bloated nature of the modern calculus textbook, the slim 128 pages of this book demonstrate how condensed the subject matter … more
A study of topology is an integral part of the education of most graduate students and knowledge of topology is an essential skill for theoretical physics and the essential topology of a network is discussed … more
If you read this book without doing a little bit of familiarizing yourself with the short story, "The Library of Babel" by Jorge Luis Borges, you will be starting the process from a weak position. The … more
This is a book that should be kept on the reference shelf and regularly consulted by all teachers of K-12 mathematics. It contains a series of exercises illustrating concepts in geometry that explain … more
The phrase "Moore Method" refers to the teaching tactics employed by the late R. L. Moore, where the students were given a set of basic axioms and definitions as a beginning and then were required to … more
The title was properly selected, for the writers describe the development and evolution of the use of numbers as if they are an entity that began as an infant, had a lengthy childhood and now a permanent … more
The history of mathematics consists of a sequence of discoveries, some of which enhance what has come before, others that clarify and still others completely revolutionize how mathematics is practiced. … more
This eleventh edition of “Statistics” (by James McClave, Terry Sincich, and William Mendenhall) is a self-contained introductory text, which beginners would appreciate. The book … more
As co-editor of Journal of Recreational Mathematics, what I present here is the contents of the issues with no commentary. Forgive the five star ranking. Contents of "Journal of … more
The subject matter of a first course in abstract algebra is almost universally the same to all people. It begins with some fundamental background in number theory, relations, functions and a survey of … more