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reviewed How to Think Like a Mathematician: A .... July 18, 2010
posted in Cafe Libri: Reviewing Books & More
How to Think Like a Mathematician: A Companion to
To be successful in mathematics, your mind must perform operations that are unlike the operations needed to do most other things. You must be able to hold abstract ideas, sometimes several at a time, …
reviewed The Autonomy of Mathematical Knowledg.... July 17, 2010
posted in Cafe Libri: Reviewing Books & More
The Autonomy of Mathematical Knowledge: Hilbert's
There are two broad categories of major players in any field of intellectual human endeavor; the people that pose the problems and the ones that (re)solve them. Unfortunately, history often allocates …
reviewed A Course of Pure Mathematics Centenar.... July 10, 2010
posted in Cafe Libri: Reviewing Books & More
A Course of Pure Mathematics Centenary edition
Although the sequence of the presentation of the fundamentals of mathematics has changed over the last century, the substance has not. There is no greater evidence of this fact than this classic work …
reviewed I Want to be a Mathematician: A Conve.... July 10, 2010
posted in Movie Hype
I Want to be a Mathematician: A Conversation with
The late Paul Halmos was many things in and out of the world of mathematics. He was an educator, mathematician, teacher, writer, speaker, chronicler, and a bit of a philosopher. In this DVD, all of those …
reviewed Mrs. Perkins's Electric Quilt: And Ot.... July 09, 2010
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Mrs. Perkins's Electric Quilt: And Other
The mathematics largely dominates the physics in this book, the problems vary in the level of their physics difficulty but the math level stays pretty constant. In nearly all cases, understanding integrals, …
reviewed The Mathematics of Games And Gambling.... July 07, 2010
posted in Cafe Libri: Reviewing Books & More
The Mathematics of Games And Gambling: Second
This book would be an ideal text for what would no doubt be a popular special topics course in game theory applied to gambling. While gambling has always been a popular recreation among humans, it is …
reviewed Math and the Mona Lisa: The Art and S.... July 05, 2010
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Math and the Mona Lisa: The Art and Science of
While this book pays tribute to the incredible talent of Leonardo da Vinci, the coverage moves into areas of science that have little connection to what da Vinci did. While da Vinci was very modern (for …
reviewed Mathematical Interest Theory. June 25, 2010
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Mathematical Interest Theory
It would be interesting to know if the near financial collapse of late 2008, the subsequent public outrage and move to re-regulate the financial industry has led to an increase in the enrollment in courses …
reviewed Random Networks for Communication: Fr.... June 24, 2010
posted in Cafe Libri: Reviewing Books & More
Random Networks for Communication: From
It is more realistic to consider the graphs describing computer networks to be pseudorandom rather than random. In other words, they have an underlying deterministic structure but the outward appearance …
reviewed Problems in Euclidean Space: Applicat.... June 23, 2010
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Problems in Euclidean Space: Application of
The following definition of convexity is used in this book.    A subset X of R2 or R3 is convex if whenever x and y are in X the segment connecting them is also in X.    Using …
reviewed Distributions: An Outline. June 15, 2010
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Distributions: An Outline
For purposes of this book, the term "distributions" has the following definition.    By `distributions" we understand the linear and continuous functionals on the space D of the functions …
reviewed Calculator Word Games. June 15, 2010
posted in Cafe Libri: Reviewing Books & More
The appearance of the inexpensive hand-held calculator in the 1970's spawned a new form of recreation. Some of the digits rendered in the display had the appearance of letters when turned upside down. …
reviewed Musings of the Masters: An Anthology .... May 30, 2010
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Musings of the Masters: An Anthology of
This is not a book about mathematics; the content is about the philosophy of mathematics, which is as old as abstract mathematics. When humans were limited to using mathematics to measure land and count …
reviewed First Steps for Math Olympians: Using.... May 25, 2010
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First Steps for Math Olympians: Using the American
For two years, I was the primary organizer of having the American Mathematics Competition (AMC) exams on campus and found the students taking the tests to be enthusiastic and eager to do well. Mathematics …
reviewed Exercises in Probability: A Guided To.... May 23, 2010
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Exercises in Probability: A Guided Tour from
This set of solved problems involves measure theory and probability and the level of difficulty is that of the Ph. D. student. The problems delve deeply into the theory of probability, independence, Gaussian …
reviewed ABC's of Boolean Algebra. May 12, 2010
posted in Cafe Libri: Reviewing Books & More
ABC's of Boolean algebra,
Although this book was printed nearly thirty years ago, the content still provides value; in fact it is roughly the first two chapters of the book that I last used for a college course in digital logic …
reviewed Ornamental Origami: Exploring 3D Geom.... May 10, 2010
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Ornamental Origami: Exploring 3D Geometric Designs
The increasing complexity and resultant beauty of origami designs continues to amaze me. When looking at the end result, it is hard to believe that the object was constructed by executing a series of …
reviewed The Shape of Content: An Anthology of.... May 05, 2010
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The Shape of Content: An Anthology of Creative
This is not a book about teaching creative writing in mathematics and science nor is it a book about the role creative writing has in math and science. It is instead a collection of short works that have …
reviewed Origami, Eleusis, and the Soma Cube: .... May 05, 2010
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Origami, Eleusis, and the Soma Cube: Martin
If the essence of Martin Gardner could be distilled and injected into the authors of mathematics textbooks for K-12 students, it would be the end to the phrase "math is hard." No one has ever demonstrated …
reviewed Visual Linear Algebra. April 20, 2010
posted in Cafe Libri: Reviewing Books & More
Visual Linear Algebra
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 …
reviewed Modern Algebra: An Introduction. April 16, 2010
posted in Cafe Libri: Reviewing Books & More
Modern Algebra: An Introduction
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 …
reviewed The Mathematics Companion: Mathematic.... March 16, 2010
posted in Cafe Libri: Reviewing Books & More
The Mathematics Companion: Mathematical Methods
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 …
reviewed Algebra II. February 21, 2010
posted in Cafe Libri: Reviewing Books & More
Algebra II
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 …
reviewed How to Pass Numerical Reasoning Tests.... February 20, 2010
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How to Pass Numerical Reasoning Tests: A
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 …
reviewed Capsule Calculus. February 17, 2010
posted in Cafe Libri: Reviewing Books & More
Capsule Calculus
"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 …
reviewed Geometry Demystified. February 15, 2010
posted in Cafe Libri: Reviewing Books & More
Geometry Demystified
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 …
reviewed Calculus. February 06, 2010
posted in Cafe Libri: Reviewing Books & More
Calculus
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 …
reviewed Cliffs Quick Review Algebra 1. February 04, 2010
posted in Cafe Libri: Reviewing Books & More
Cliffsquickreview Algebra 1
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 …
reviewed When Less is More: Visualizing Basic .... January 12, 2010
posted in Cafe Libri: Reviewing Books & More
When Less is More: Visualizing Basic Inequalities
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, …
reviewed A Guide to Advanced Real Analysis. January 01, 2010
posted in Cafe Libri: Reviewing Books & More
A Guide to Advanced Real Analysis
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 …
reviewed The Art of Mathematics: Coffee Time i.... December 25, 2009
posted in Cafe Libri: Reviewing Books & More
The Art of Mathematics: Coffee Time in Memphis
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 …
reviewed USA And International Mathematical Ol.... December 16, 2009
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USA And International Mathematical Olympiads 2005:
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 …
reviewed The Book of Numbers: The Secret of Nu.... December 12, 2009
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The Book of Numbers: The Secret of Numbers and How
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 …
reviewed A Guide to Real Variables. December 06, 2009
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A Guide to Real Variables
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 …
reviewed A Guide to Topology. December 04, 2009
posted in Cafe Libri: Reviewing Books & More
A Guide to Topology
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 …
reviewed The Unimaginable Mathematics of Borge.... December 02, 2009
posted in Cafe Libri: Reviewing Books & More
The Unimaginable Mathematics of Borges' Library of
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 …
reviewed Symmetry, Shape and Space. November 28, 2009
posted in Cafe Libri: Reviewing Books & More
Symmetry, Shape and Space
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 …
reviewed The Moore Method: A Pathway to Learne.... November 25, 2009
posted in Cafe Libri: Reviewing Books & More
The Moore Method: A Pathway to Learner-Centered
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 …
reviewed The Life of Numbers. November 24, 2009
posted in Cafe Libri: Reviewing Books & More
The Life of Numbers
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 …
reviewed The Nature of Mathematics. November 14, 2009
posted in Cafe Libri: Reviewing Books & More
The Nature of Mathematics
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. …
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