M441 Historical Perspectives in Mathematics References
Useful Links for History of Mathematics
- Mathematics and History of Mathematics Sites
- Eric Weisstein's World
of Mathematics Comprehensive searchable site on mathematics.
MacTutor History of Mathematics Archive -- Maintained at that
University of St. Andrews in Scotland.
Allen's online lectures on the History of Mathematic -- Lectures for
an online course in mathematics
- The Math Forum Home Page
maintained at Swarthmore College --an online community of teachers,
students, researchers, parents, educators, and citizens at all
levels who have an interest in math and math education. Has
interesting page on Famous Problems in Mathematics -- Math Forum:
Famous Problems in the History of Mathematics
- The History of
Mathematics Site maintained by David R. Wilkins, Trinity
College, Dublin with major collections of certain mathematicians' work
and links to other sites.
Journey Through Time Created by students in National University's
History of Mathematics class, this web site breaks the history of math
into centuries. As one clicks on a specific time they are
introduced to different things that were discovered and the people who
History Theme Page This web site has listings of many other
web sites that may be useful. Math through out the ages is broken
up, but not by centuries. As you can see, some examples of the
other web sites listed here are things like Ancient Geometry, Arabic
Numerals, and Egyptian Mathematics. Some of these especially will
come in handy because they are the titles of our units. (from Christine
History of Mathematics:
This page is a compilation of information on the development of
mathematics, including the calculus, from 1500 AD. The work was
compiled as part of a course at the University of South Australia, and
while I was only able to visit a few of the links it appeared to have
some pertinent information to the course, maybe not so much in the
early periods, but once we get to more Middle Ages Math.
Joyce's History of Mathematics
This site by David Joyce has especially good references for Euclid's
Elements and Hilbert's Problems.
This website talks of how math started in Babylonia and and Egypt
then spread its way to Greece and other countries. Some
countries started their own mathematics, but it too became mingled with
the older stuff from the other countries creating international
mathematics. It tells of how all these countries keep
finding new mathematics and such and how other countries also adopted
these new mathematical ways.
Triangles - By Don Knott's, discusses Pythagorean triangles
which were extensively studied by the Babylonians of 5000 years ago and
some of the oldest mathematical writings (clay tablets) contain tables
of such triangles.
This site has many many links that deal with Archimedes life and work.
Mathematicians Created by students in mathematics classes at
Agnes Scott College, in Atlanta, Georgia, to illustrate the numerous
achievements of women in the field of mathematics.
- Alan Turing's
- This site contains a wealth of material about Alan Turing,
founder of computer science, mathematician, philosopher, and codebreaker.
Other References (printed) in McHale 300 (Father Gilbert's
- Gardner, Martin. Mathematical Carnival. The
Mathematical Association of America: New York, 1989.
This book is all about fun and games using mathematics. The first
trick in the book is a pen and paper game called 'Sprouts.'
Some of the other tricks in the book use such things as pennies and
cards to figure out their secret. There is also a whole chapter
devoted to M. C. Escher, who has made such paintings as Day and Night
and Reptiles. The names of these paintings may not seem familiar, but if
you saw them, you would know why they are special.
( Chris Malnarick )
- Krantz, Steven G. Techniques of Problem
Solving. The American Mathematical Society: Rhode Island, 1997.
This book also has brain teasers as its main focus. This book will also
walk the reader through how to solve these problems as
well. It begins with more simple problems to get
the reader used to them, and then goes into more complex problems.
It also explains how Geometry, Algebra, Counting, and Real life can help
you out with these problems.
- Petreshene, Susan. Brain Teasers.
The Center For Applied Research, NewYork, 1994.
The reader of this book can select from a stimulating collection of
provoking activities ready for instant use. Activities are
help the reader further develop thinking, reasoning, and memory
skills. The worksheets in this book are reproducible allowing
to pass them out to each student in their class. The downfall to
book from the standpoint of this class is that it is designed for
students in grades K-6. ( Jason Burke )
Andrew. 101 Careers in Mathematics. The Mathematical
Association of America, Washington D.C., 1996.
This book provides a comprehensive look at a list of jobs you can
use you Mathematics background in. Each of the jobs in the book
presented using examples of real people in real jobs. By reading
the history and current positions of these people you can learn a lot
about what you may want to do with your mathematical background.
addition to career paths, this book also presents specific jobs
available to people with mathematics backgrounds such as working for
Federal Government. ( Jason Burke)
- Gardner, Martin. Riddles
of the Sphinx. Mathematical Association of
America (Inc.) Washington D.C. 1987, Vol 32
Riddles of the Sphinx is a pretty good riddle book. It also
pretty cool and interesting stuff. On one page it put two words,
Christmas, together and made them semetrical. Also, there was a
there I had learned from a previous core class. What walks on
then on two feet, then walks on three feet. The ans.
MAN. It is a pretty
good book by a pretty good author. This is his third riddle book
has outdone himself. (Ted Schirr)
- Case, Betty Anne. You're
the Professor, What Next? Mathematical
Association of America (Inc.) Washington D.C., 1994
You're the Professor, What Next? is a book and basically an
works to help you as a teacher. It is almost like a manual.
It is a very
helpful guide for teachers to have. Not a bad book to have if
going to become a teacher, or even if they are a teacher already.
( Ted Schirr )
- Morris, S. Brent. Magic Tricks, Card
Shuffling, and Dynamic Computer
Memories. The Mathematical Association of America(MAA)
This book takes a mathematical approach to explaining how magic
really works. It teaches the reader how to faro shuffle.
With this book any
ordinary person can become a Las Vegas gambling guru. After
this book, any other education will be unnecessary in order to acquire
great wealth with no risk. The thing i don't like about this book
you must have some mathematical knowledge to read it.
Rating: ***** ( George Leedle )
- Cooney, Miriam
P. Celebrating Women in Mathematics and Science.
National Council of Teachers of Mathematics. Notre Dame, IN 1996.
This book is great for anyone who does not have a vast span of
knowledge on important women in the math and science industry. It
examines 22 women who have made great contributions to the evolution of
mathematics. The book is dedicated to yong readers, mathematicians and
scientists of the future, who like to understand how and why things
work, not just that they do. It is also a plus for any young man
who would like to spend a few hours getting to know 22 different women.
Rating: *** ( George Leedle )
Learn from the Masters. The Mathematical association of
This book provides readers with the historical ideas and insights
whichcan be immediately applied. The book has two sections: the
first on the use of history in secondary school mathematics, and the
second n its use i university mathematics. Not only will you find
a historical backgrounds but ideas to help you graps the material.
The articles are diverse, covering fields such as trig, calulus, liner
algebra, and vector analysis. ( Shana Wyatt )
Roman. Through the Eyes of a Reporter: The Life of StefanBananch.
Birkhauser. Boston. 1996.
This book provides an indepth look into Polish mathematician Stefan
Banach. It contains not only interviews with his collegues and
conversations with mathematicians who are familiar with his work but it
also describes his impact on modern mathematics. ( Liz Musick )
Gullberg, Jan. Mathematics: From the Birth of
Numbers. Norton & Company. New York 1997.
This book gives a tour of mathematics from the invention of numbers
through differential equations. It reviews all major branches
of mathematics, including fascinating topics such as
Hyperbolic functions. The downfall of this book is that it is
extremely thick and dense. ( George Leedle )
David M. History of Mathematics. Wm. C. Brown
Publishers, New Hampshire, 1991.
This book provide a comprehensive look at the history of mathematics
over the last 5000 years. It is arranged in a chronological order,
starting with ancient egypt and the Rhind Papyrus, moving through Greek
Mathematics, and moving toward Euclidian Geometry. The book also has a
big glossary making it a very good reference manual. ( Jason Burke
- Maletsky, Evan M. and Max A. Sobel. Teaching Mathematics
Viacom CompanyNeedham Heights, MA 1999 Third Edition
This book is a guide of what teachers can do in their classrooms to
keep their students involved with the class. It also has a section
or two in here about previous and well known mathematicians, ex. Karl
Gauss. Overall the book is just a tool to help a new teacher or even an
ald teacher to some suggestions for classroom activities. ( Ted
- James, I.M. History of Topology
This volume on topology deals with a little bit of the prehistory of
Topology but mostly deals with the more recent history on topology,
“from Poincare onwards.” (pg. v) Since topology is such a
broad category this book covers what is called the classical
topology. It also deals with the people who were important to the
development to topology. ( Kate Lizzi )
- Gardner, Martin Riddles
of the Sphinx. The Mathematical Association of America, Washington
This book continues the series which Martin Gardner started. In his
books Martin tries to challenge and inspire the reader to solve some of
lifes mathematical puzzles. Riddles of the Sphinx incorporates responses
from the readers of his other books along with suggestions by others
close to Gardner. Some of the proposed riddles in his book have yet to
be answered but those that have been are challenging and thought
provoking. ( Joe Koczan )
- Clawson, Calvin C. Mathematical
Mysteries: The beauty and magic of numbers. Plenum Press,
New York, N.Y. 1996.
Calvin Clawson is trying to demonstrate to the common man some of the
deep "beauties" that he sees in mathematics. He covers the early Greek
achievemnets and the works of other notable mathematicians. In his work
he is trying to do away with the common phobia and misconceptions
encompassing mathematics. Calvin's book is a work that looks at
numbers and tries to tie them to everyday life. ( Joe Koczan )
Dunham, William. Journey Through Genius: The Great
Theorems of Mathematics. New York: Wiley, 1990.
This book looks at the work of many great mathematicians. It
gives a brief background on the person and then lays out what the book
calls their "great theorem." The book illustrates in an organized
fashion how the subject of math is constantly being built. Math
does not discard the old, it builds upon it. The book shows the
"significant and enduring ideas of mathematics." ( Liz Musick )
Wells, David. You Are A Mathematician: A Wise and Witty
Introduction to the Joy of Numbers. New York:
This book looks at mathematics from many different views. It is
for the experienced mathematician and those who sweat at the mention of
algebra. This book covers many subject and all types of
math. The chapters range from Numbers and Patterns to Mathematics
as a Science to The Enjoyment of Mathematics. ( Liz Musick )
Anthony, Joby Milo. In Eve's Circles
Mathematical Association of America. 1994, Washington, DC. This
book covers many topics. One section is on Geometry, there is also
a section on history, the history of certain math subjects. I'm
sure the class will be able to use this part of the book. There is
a section on Pedagogy, and in this section the author states the goals
that he has
for his students in the history of math class. ( Chris Malnarick
- Konhauser, Joseph D. E., Dan Velleman, Stan Wagon. Which
Way did the Bicycle Go?
This book contains various problems throughout the mathematical
field. It contains problems everywhere from number theory,
geometry, algebra, graph theory, and plane geometry. This book is
directed towards high school students or beyond, teacher, and professors
along with mathematicians. ( Kate Lizzi )
- Stein, Sherman K.
Strength in Numbers
Strength in Numbers requires basic arithmetic and high school geometry
and deals with the mathematics in everyday life. It deals with
everything from missiles to subway systems getting built to mortgage
payments. ( Kate Lizzi )
- Stein, Sherman. Archimedes: What
did he do Besides Cry Eureka?
The Mathematical Association of America, N.Y. New York, 1999.
This book by Sherman Stein covers the life of one o fthe greatest
mathematical minds of all time. The book begins with the brief
history of Archimedes life and discuses the many mathematical models he
developed. In discussing the theories by Archimedes nothing above high
school algebra is used. Due to this the book is a relatively easy read.