Search Results - "Ezra Brown"

Five Families Around a Well: A New Look at an Old Problem by Brown, Ezra, Crawford, Matthew

“…The Nine Chapter on the Mathematical Arts from ancient China includes a problem concerning five families who share a well. We generalize the problem and offer…”
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Saints and Scoundrels and Two Theorems That Are Really the Same by Brown, Ezra

“…The Chinese remainder theorem and the polynomial interpolation theorem are foundational theorems of number theory and numerical analysis, respectively. These…”
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Generalizing Gauss’s Gem by Ezra Brown, Marc Chamberland

“…Gauss’s Cyclotomic Formula is extended to a formula withpvariables, wherepis an odd prime. This new formula involves the determinant of a circulant matrix. An…”
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Squareorama 4 by Brown, Ezra

“…Artist Darcy Meeker uses copper to illustrate the perfectly squared square…”
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CHOCOLATE KEY CRYPTOGRAPHY by Bachman, Dale J., Norton, Anderson H., EZRA A. "BUD" BROWN

“…Cryptography is the science of hidden or secret writing. More generally, cryptography refers to the science of safeguarding information. Cryptography allows…”
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A Conversation with Archimedes by Brown, Ezra

“…Eureka! Antiquity’s greatest mathematician travels through time to set the record straight on the Archimedean solids, who invented calculus, why Euclid…”
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A Mathematical Trip to Princeton by Brown, Ezra

“…Brown takes a tour to the beautiful Princeton University mathematics department. The Princeton University mathematics department may or may not he in first…”
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Comparison of Preformed Archwires to Pretreatment Dental Casts Representing Normal Occlusions by Brown, Ezra

“…Introduction: Preformed nickel-titanium archwires have become an almost universal standard for archwire selection in clinical practice. However, previous…”
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Generalizing Gauss's Gem by Brown, Ezra, Chamberland, Marc

“…Gauss's Cyclotomic Formula is extended to a formula with p variables, where p is an odd prime. This new formula involves the determinant of a circulant matrix…”
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Trigonometry without Triangles by Brown, Ezra, Rice, Adrian

“…The authors generate the sine and cosine from an arc-length integral and derive all the major properties of these functions before you can say “soh cah toa.”…”
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Why is PSL(2,7)≅ GL(3,2)? by Brown, Ezra, Loehr, Nicholas

“…The groups of invertible matrices over finite fields are among the first groups in a beginning course in modern algebra. The unique simple group of order 168…”
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PROBLEMS AND SOLUTIONS by Edgar, Gerald A, Ullman, Daniel H, West, Douglas B, Bracken, Paul, Brown, Ezra A, Franco, Zachary, Friesen, Christian, Lipták, László, Luttmann, Rick, Miles, Frank B, Ng, Lenhard, Stolarsky, Kenneth, Stong, Richard, Velleman, Daniel, Wagon, Stan, Wilmer, Elizabeth, Zhang, Fuzhen, Zhou, Li

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Class Numbers of Real Quadratic Number Fields by Brown, Ezra

“…This article is a study of congruence conditions, modulo powers of two, on class number of real quadratic number fields$Q(\sqrt d)$, for which d has at most…”
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Phoebe Floats by Brown, Ezra

“…The narrative in this article begins with a simple remark about a heavenly body to a class, and then winds its way through a lot of mathematical topics…”
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Phoebe Floats by Brown, Ezra

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Many More Names of (7, 3, 1) by Brown, Ezra

“…The (7, 3, 1) block design is an object that shows up in many areas of mathematics. In fact, (7, 3, 1) seems to appear again and again in unexpected places. A…”
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Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part I by Rice, Adrian, Brown, Ezra

“…This two-part paper investigates the discovery of an intriguing and fundamental connection between the famous but apparently unrelated mathematical work of two…”
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Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part II by Rice, Adrian, Brown, Ezra

“…This paper investigates the discovery of an intriguing and fundamental connection between the famous but apparently unrelated mathematical work of two late…”
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THREE CONNECTIONS TO CONTINUED FRACTIONS by BROWN, EZRA

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Magic Squares, Finite Planes, and Points of Inflection on Elliptic Curves by Brown, Ezra

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