 Birthday Surprises  Ivars Peterson (MathTrek)
It's rather unlikely that you and I share the same birthday (month and date). The more people you pull into the group, however, the more likely it is that at least two people will have matching dates. Ignoring the minor technicality of leap years, it's
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 Bisection Method Tutorial  Joseph L. Zachary
A tutorial that explores the bisection method for finding the roots of equations. Includes a Java applet that opens in a separate window, for use alongside the tutorial. From a Computer Science course at the University of Utah, and the book Introduction
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 BIT101 Lab  Keith Peters
Launch BIT101 Lab to browse Peters' repository of experimental Flash files, many interactive, dating back to 2001. He also provides tutorials on using Flash to simulate gravity, easing, elasticity, perspective, 3D rotation, and "the various little creatures
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 BitArt  Robert J. Krawczyk
Illustrated introductions to spirolaterals and strange attractors. See a selfrunning demonstration of a variety of spirolaterals, or generate one of your own and see all the reversals. The link of current exhibits lists installations showing strange
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 bitplayer  Brian Hayes
In Hayes' weblog, the author of the American Scientist Computing Science column elaborates on those articles, posts errata, records notes from conferences in progress, and explores other topics. The blog dates back to January, 2006, and includes articles
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 BizMo Diaries  Kirby Urner
"On the road with global data." This open source developer's blog, which dates back to January, 2005, has included posts on math education, such as "Python for GIS Experts," "Memo to Gnu Math Teachers," "Playing with Blocks," "Story Problems," "Mathematics
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 Blackline Masters  Savetz Publishing, Inc.
Download free PDFs of black line masters for inch, polar, log, and semilog grids.
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 Black Saturn Mandelbrot Set Explorer  Kokoska
Very high, high, and low resolution Java applets for zooming in on smaller and smaller areas and discovering the hidden complexities of the Mandelbrot set.
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 Blogic  J. David Velleman, Dept. of Philosophy, Univ. of Michigan
An interactive textbook in logic. Topics and interactive software include: Boolean searching; logic circuits; truthtables; Turing machines; foundations of probability; modal logic with possibleworlds diagrams; quantification. Includes interactive
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 Blog of a Math Teacher
A newly minted math teacher reflects on going back to school, the first day of practice teaching, state certification, job hunting, the interview, and more. With archives dating back to July, 2003.
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 Blog of Science  Pierre Far
A blog started in December, 2005, by a bacterial geneticist to "write about the latest scientific discoveries, explaining them in terms everyone can understand." Far favors topics that "affect people," so blogsci.com tends to feature health and medicine
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 Blog on math blogs  American Mathematical Society
A blog by "two mathematicians touring the mathematical blogosphere." Posts, which date back to April, 2013, have included "Binary Bonsai and Other Mathematical 'Plants,'" "Building the World Digital Mathematical Library," "On Pregnancy and Probability,"
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 Blog on the history of Fermat's Last Theorem and Wiles' Proof  Larry Freeman
The purpose of this blog is survey the developments of number theory in relation to Fermat's Last Theorem. I try to focus on the people, ideas, and mathematical details. It is meant to be interesting, accessible, and accurate in its mathematical details.
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 BLOSSOMS  Massachusetts Institute of Technology Learning International Networks Consortium (MIT LINC)
Video modules that enliven existing curricula with clips and support materials for inclass teachers to intersperse in active, goaloriented exercises. Each module includes a teacher's guide, downloadable handouts, and a list of additional resources;
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 Blue Sky Research (TeX, LaTeX, AMSTeX)
An online catalog with TeX, LaTeX, and AMSTeX manuals available by mail order. Also Textures, its requirements, and interfaces. Fonts, news, price list and ordering information, technical support. The FTP server has materials for TeXperts and novices,
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 Blue Web'n Learning Sites Library
Learning Applications: a library of Internetbased instruction. Search for applications by grade level, application type, content area, Dewey number, and/or keyword. A Content Table shows the number of entries for each content area and application type
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 BNALib, A Visual Basic Numerical Analysis Library for Personal Computers
 C. David Eagle, Jr.
The BNALib software package, provided in source code form, is a toolbox of subroutines, functions, and demonstration programs that provide numerical analysis computing capability for Visual Basic programmers. Each numerical method is a digital computer
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 Boaz Tsaban's Homepage
Includes three PostScript papers: Was Godel right? Was Pi known to ancient Rabbis? and On the Rabbinical Approximation of Pi. Also a links to a Jewish Mathematics page.
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 Bob's Pages  Bob Allanson
A collection of geometry applets. Generate and modify polyhedra, investigate the Mandelbrot and Julia sets, or experiment with Pappus's arbelos, the porisms of Poncelet and Steiner, and a logarithmic spiral.
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 Boil, Boil, Toil and Trouble: The International Boiling Point Project  Center for Improved Engineering and Science Education (CIESE)
People from all over the world boil water at different elevations and post data to discover which factor in the experiment (room temperature, elevation, volume of water, or heating device) has the greatest influence on boiling point. Anyone can boil water,
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 The Boise Problem Book  Marion Scheepers; Dept. of Mathematics, Boise State University, Boise, ID
Combinatorial games and set theory. Chapters include: Covering games and Memory; Peculiar sets of real numbers and games; Gdelta properties and games; The precipitous ideal game; Cardinal numbers related to the real line; Embedding problems; Gaps; The
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 Book of Odds  Book of Odds, Inc.
A dictionary "filled not with words, but with numbers – the odds of everyday life." The Book of Odds "contains hundreds of thousands of Odds Statements, from the odds of being the only one to survive a plane crash, to the odds of having a heart attack,
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 Books and other nonweb resources (History of Mathematics)  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Organizations devoted to the history of Mathematics; a Bibliography of source books; Journals; Bibliographies and catalogues; and Texts on the history of mathematics.
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 Books by Lillian Lieber  Lillian Lieber, Hugh Gray Lieber, Paul Dry Books
Paul Dry Books has republished three of Lillian Lieber's books on mathematics: The Education of T.C. MITS: What Modern Mathematics Means to You, Infinity: Beyond the Beyond the Beyond, and Einstein's Theory of Relativity. Lillian Lieber was the head of
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 Books: Professional & Technical: Education  Amazon.com
Browse bestselling books about education from the Professional and Technical Bookstore at Amazon.com, in categories such as General; Biographies of Educators; Counseling; Education Theory; Lesson Planning; Preschool & Kindergarten; Reference; Special
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 Books: Professional & Technical: Professional Science: Mathematics  Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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 Boost Your Skills With ATI Courses!  Applied Technology Institute (ATI)
A center for technical training in the form of short courses and distance learning
in space, communications, defense, sonar, radar, and signal processing.
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 Border Pattern Gallery  John Wolfe; Geometric Structures Class, Oklahoma State University
A gallery developed as a class project: creating and classifying border patterns (also called frieze or band patterns) provides an engaging introduction to symmetry for students of all ages. Examples and explanations for seven different border types.
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 Bottles in a Wine Rack  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Arranging wine bottles in a rack leads, under certain circumstances, to a curious mathematical problem discussed in books by S. Wagon and R. Honsberger. The site arouse out of an attempt to illustrate their solution. The dynamic illustration quickly
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 Bounded Set Theory  Vladimir Sazonov
Bounded Set Theory (BST) is a weak version of the ordinary set theory. Its main feature is paying main attention to using bounded quantification (as in the ordinary everyday mathematical practice) and other analogous bounded constructs. The language of
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 Boxplots in Excel  Neville Hunt, Coventry University
A method for using Microsoft Excel to create boxplots, or box and whisker diagrams, which provide a simple graphical summary of a set of data. Boxplots show a measures of central location (the median), two measures of dispersion (the range and interquartile
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 The Brachistochrone  Paul Kunkel
An investigation of the problem: We are given two fixed points in a vertical plane. A particle starts from rest at one of the points and travels to the other under its own weight. Find the path that the particle must follow in order to reach its destination
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 The brachistochrone problem
 MacTutor Math History Archives
Linked essay on the brachistochrone problem, posed by Johann Bernoulli in Acta Eruditorum in June, 1696. With references and other related web sites.
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 Brahmagupta's Formula  Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
Problem: Develop a proof for Brahmagupta's Formula, which provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral inscribed in a circle) with sides of length a, b, c, and d as A = sqrt((sa)(sb)(sc)(sd)) where s is the semiperimeter
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 BrainBashers  Kevin N. Stone
A collection of logic, language and math puzzles, in a choice of easy/medium/hard. Rate the puzzles; show their answers. Logic puzzles include Einstein's Puzzle. Play games of strategy, such as "Four in a Row" (also known as "Connect Four") or games based
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 Brainfreeze Puzzles  Riley, Philip; and Taalman, Laura
Free example puzzles and solving tips for colorful, handdesigned Sudoku variation puzzles with additional rules that challenge you to rethink your old Sudoku strategies and devise new ones. From the authors of the book, Color Sudoku.
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 Brainly.com.br
"Estudamos em grupo." Faz perguntas; responde para ganhar rankings. Veja, em particular, o arquivo de dever e soluções na area de matemática.
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 Brainy Figuring  Ivars Peterson (MathTrek)
In the May 7 Science, Dehaene and collaborators at the Massachusetts Institute of Technology present the first hard evidence that two quite different modes of brain activity underlie our inborn capacity for mathematics. Their study indicates that learning
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 Bray Proves Penrose Conjecture in General Relativity (Math Chat)  Frank Morgan, MAA Online
In 1979 R. Schoen and S.T. Yau proved that the total mass of a universe must be positive. Last year [1998] G. Huisken and T. Ilmanen proved that the total mass is at least as large as the largest constituent mass: M >_ m1. Finally this year [1999] H.
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 Breaking Chocolate Bars  Cut the Knot!, Alexander Bogomolny
The chocolate bar puzzle has three parameters: two side lengths (m and n) and actual selection of lines along which to break the bar and its parts... An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem,
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 Brendan McKay
Software includes nauty, a program for computing automorphism groups of graphs and digraphs, which can also produce a canonical labelling; and plantri, a program for generating planar triangulations. Also, skeptical treatment of claims made of miraculous
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 Brendt Wohlberg  University of Cape Town, South Africa
Fractal image compression resources: bibliography, publications.
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 Bret Victor
From the creator of Kill Math, Victor's "umbrella project for techniques that enable people to model and solve meaningful problems of quantity using concrete representations and intuitionguided exploration" in pursuit of a "widelyusable, insightgenerating
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 The Bridges of Königsberg  Isaac Reed
This problem inspired the great Swiss mathematician Leonard Euler to create graph theory, which led to the development of topology.
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 The Bridges Organization: art and mathematics  George W. Hart, Webmaster
The Bridges Organization oversees an annual conference on connections between art and mathematics. The site's virtual museum shows sculpture, paintings, drawings, digital prints, textiles, origami and other paperfoldings created by mathematicians and
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 Bridge to Higher Mathematics  Sam Vandervelde
Textbook for use with the proofs course taught at St. Lawrence University by Vandervelde, an Associate Professor of Mathematics who writes questions for the USA Math Olympiad. Bridge to Higher Mathematics incorporates "concept checks" and "mathematical
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 Brief Course Materials for Various Courses  E. Lee Lady; University of Hawaii
A collection of short handouts: files are in PDF and DVI formats. Contents include: The Fundamental Theorem of Arithmetic, the division algorithm, solutions of linear congruences, solving the Chinese Remainder problem, an example of a continued fraction,
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 A Brief History of Algebra and Computing: An Eclectic Oxonian View  Jonathan P. Bowen; Oxford University Computing Laboratory, UK
Math history: Chapters on: The Origins of Algebra; Early English Algebra; Algebra and Analytical Engines; Boolean Algebra; Algebra and Computing; Recent Developments in the Algebra of Programs. References. Also available at http://www.museums.reading.ac.uk/vmoc/algebra/.
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 A Brief History of Cosmology  MacTutor Math History Archives
A hypertext essay describing the course of cosmology from its beginnings in early Babylonian society through the present, with References.
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 A Brief History of Mathematics  British Broadcasting, United Kingdom
Ten episodes of maths history by Marcus du Sautoy, first broadcast on the BBC in 2010, each themed around a particular mathematician or group of mathematicians.
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