Solutions to review problems (Some problems from American Mathematical Monthly and other sources, with my solutions.) The notes below have been written for various purposes, and are sorted by expected usefulness (i.e., the first in the list are probably the most useful).
Complex Numbers. Conjectures. Divisibility criteria. Equation editors. Erone's formula. Goniometry. Graphers. Integer Sequences. Limits. Matematica finanziaria. Maths, ... and Apps. Online Calculators. Online teaching resources. Prova di Matematica (Esami di Stato) Sets Theory. Solvers. Stenaritmia. Maths, Physics and Apps. Linear algebra - Is the 0x0 matrix (zero-times-zero matrix) a well-defined concept? Welcome! - The Mathematics Genealogy Project. Converting Interval Notation to Set Builder Notation. FuncEq-Intro. University Library Historical Monographs Collection. Deepmind/mathematics_dataset. How to Calculate Cube Root by Hand (with Pictures) Fourier transform definition conventions and formulas. There are several slightly different ways to define a Fourier transform.
Trinity College Cambridge. Use This Quick Trick to Speed Up Long Division. If you’ve ever seen the Japanese trick for multiplying using lines, you know that doing math by hand doesn’t have to mean doing it the old-fashioned way.
If long division always confused you or you simply want to try something new, this trick might be for you. Scientific Computing: An Introductory Survey. Lecture Slides Lecture slides corresponding to the contents of the book Scientific Computing: An Introductory Survey are available in pdf format.
Mathematical Omnibus: Thirty Lectures on Classic Mathematics: Dmitry Fuchs, Serge Tabachnikov: 9780821843161: Amazon.com: Books. MathURLs – World's simplest math news aggregator. Horizontal Line Test. Eu.edugain. Domanda da ultraprincipiante sulle divisioni con frazioni. Radice quadrata senza calcolatrice. Il calcolo della radice quadrata senza calcolatrice è un procedimento algebrico che, mediante una serie di operazioni base, consente di calcolare l'approssimazione di una radice quadrata senza calcolatrice, o il valore esatto nel caso dei quadrati perfetti.
Dopo aver visto, nella precedente lezione, cos'è la radice quadrata di un numero, spiegheremo in questo articolo come si calcola la radice quadrata a mano cioè senza l'aiuto della calcolatrice. Interleaved exploding dots and roman numerals. Relazione di Stiefel. From Wolfram MathWorld. The Platonic solids, also called the regular solids or regular polyhedra, are convex polyhedra with equivalent faces composed of congruent convex regular polygons.
There are exactly five such solids (Steinhaus 1999, pp. 252-256): the cube, dodecahedron, icosahedron, octahedron, and tetrahedron, as was proved by Euclid in the last proposition of the Elements. The Platonic solids are sometimes also called "cosmic figures" (Cromwell 1997), although this term is sometimes used to refer collectively to both the Platonic solids and Kepler-Poinsot solids (Coxeter 1973). The Platonic solids were known to the ancient Greeks, and were described by Plato in his Timaeus ca. 350 BC. In this work, Plato equated the tetrahedron with the "element" fire, the cube with earth, the icosahedron with water, the octahedron with air, and the dodecahedron with the stuff of which the constellations and heavens were made (Cromwell 1997). Wang tile - Wikipedia. This set of 11 Wang tiles will tile the plane but only aperiodically.
Example of Wang tessellation with 13 tiles. The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern. Domino problem The Clay Mathematics Institute. ZbMATH - the first resource for mathematics. Angles on Google Drawings.webm. Libro di testo. Semester 1 - Algebra. Flippedmath.com - Home. Music Math Harmony. It is a remarkable(!)
Coincidence that 27/12 is very close to 3/2. A Random Math Fun Fact! From the Fun Fact files, here is a Random Fun Fact, at the Advanced level: The traditional proof that the square root of 2 is irrational (attributed to Pythagoras) depends on understanding facts about the divisibility of the integers.
Odd Numbers in Pascal's Triangle. Pascal's Triangle has many surprising patterns and properties.
For instance, we can ask: "how many odd numbers are in row N of Pascal's Triangle? " For rows 0, 1, ..., 20, we count: row N: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 odd #s: 1 2 2 4 2 4 4 8 2 4 04 08 04 08 08 16 02 04 04 08 04 It appears the answer is always a power of 2. Sums of Two Squares Ways. In the Fun Fact Sums of Two Squares, we've seen which numbers can be written as the sum of two squares. For instance, 11 cannot, but 13 can (as 32+22). A related question, with a surprising answer, is: on average, how many ways can a number can be written as the sum of two squares? Fibonacci GCD's, please. Fibonacci numbers exhibit striking patterns. Here's one that may not be so obvious, but is striking when you see it. Numberphile - Videos about Numbers and Stuff. Mangahigh.com - Play maths, love maths. Physics & Maths Tutor.
Learn Math. Algebra - Home. IB Maths Resources from British International School Phuket. Watch free videos in math, science, SAT and ACT - Brightstorm. Math. The Harmonious Mathematics of Music. According to legend, the Ancient Greek Pythagoras was once walking on the streets of Samos, when the sounds of blacksmiths’ hammering suddenly gave him an epiphany. Pythagoras rushed into the shop and, as he analyzed mathematically the shapes of the blacksmiths’ hammers, he laid the foundations of music that today’s Rihanna, Shakira and others are building upon. Wait a minute… Are you talking about the guy from the Pythagorean theorem? I am. And despite what you’ve learned at school, this Pythagorean theorem is absolutely not Pythagoras’ greatest idea — most notably because he probably wasn’t even the one who came up with the Pythagorean theorem. Collaborative Mathematics - Home.
NLVM Geometry Manipulatives. Algebra Tiles - Working with Algebra Tiles. BASE Cinque light - Appunti di Matematica ricreativa. Archivio prove invalsi. From Wolfram MathWorld. A special function which is given by the logarithmic derivative of the gamma function (or, depending on the definition, the logarithmic derivative of the factorial). Because of this ambiguity, two different notations are sometimes (but not always) used, with defined as the logarithmic derivative of the gamma function.
Home. Maths and English Practice. Isometric Drawing Tool. The Great Pi Conspiracy: Are We Using the Wrong Pi? My understanding of pi is that it is 3.141 with endless number. In other words, pi is a set of numbers that has no ending. It is infinite just like a circle. Because it is infinite, it can not be multiplied or divided with any number and come to any conclusion. You can not calculate a mathematical formula and come to a solid conclusion unless you make the number whole or round it down to numbers that can be divided. To solve the infinite pi problem, the Dark Forces and their minions (the Elites) created the whole number system and rounded the infinite natural pi down to numbers that can be multiplied and divided. Practice Trigonometry. Maths Resources. Free Maths Resources, Worksheets and Games.
Learning and Teaching. Pbrucemaths.weebly.com - Home. My All Time Favorite Middle School Math Lessons. I’m teaching high school now, but here are the lessons that I miss the very most. These are my “Must Do” lessons. I have a few friends who will teach middle school math (or Algebra 1) for the first time this year. Artful Maths - Home. Geometry Rap Songs - Learn Terms, Shapes & Formulas - Flocabulary. Online math practice and lessons. Math Help for Parents And Their Kids. KBruch. Description. Math Games - HOODA MATH - over 100 Math Games. Web 2.0 Tools for Math Educators. Create A Graph. GridOmatic, print your own graph paper. Return to Bad pictures ? Click here GridOmatic, print your own graph paper, imperial or metric at any scale.
Illustrated Mathematics Dictionary. Mathonopoly: si gioca a Monopoli... con la matematica! CIDI - Centro di Iniziativa Democratica degli Insegnanti. Free Math Worksheets. 1001 Math Problems. Equazioni reciproche. Verifiche di matematica.