A Research Guide for Students

By R. Jovanovic

Virtual Library of Useful URLs

Fibonacci numbers and the Pascal Triangle

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NATURAL SCIENCES AND MATHEMATICS

        

*    Fibonacci Numbers and the Golden Section

A great website by Ron Knott. Article on the famous sequence and the Golden Section. Includes definitions and examples of applications...

    Museum of Harmony and Golden Section

Professor Alexey Stakhov and his daughter Anna Sluchenkova created the idea and now this web site contains extensive pages covering all aspects of the Golden Section in culture, nature, art, math, Fibonacci, classrooms, and clubs.  Text available in English and Russian....

    The Fibonacci Association

Official website of The Fibonacci Association. The Fibonacci Association, incoporated in 1963, focuses on Fibonacci numbers and related mathematics, emphasizing new results, research proposals, challenging problems, and new proofs of old ideas...

    Sloane's On-Line Encyclopedia of Integer Sequences
On-line Encyclopedia of Integer Sequences. Enter an integer sequence, separated by commas, and it will search for the sequence in its extensive database.

*    The Fibonacci Quarterly   

Official publication of The Fibonacci Association. The Fibonacci Quarterly is meant to serve as a focal point for interest in Fibonacci numbers and related questions, especially with respect to new results, research proposals, challenging problems, and innovative proofs of old ideas...

*    The Golden Section: a Morphological Law of Living Matter

Dr. Boris Rozin web page article on Fibonacci numbers, the Golden Section and self-organization....

*    A Research Guide for Students, by I Lee

A Virtual Library of some of the most useful and best educational sites arranged by Dewey Decimal Classification, including 500-539 Natural Sciences and Mathematics.

*    The Golden Proportion

Eddy Levin web page article on the Golden Section: Dental, Medical, Nature, Human Body,Design, Architecture ....

*    Do you believe in Fibonacci Numbers?

Offers links. Focuses on Fibonacci numbers and related mathematics...

*    The First 1,001 Fibonacci Numbers

Dr. Simon Plouffe publishes the first 1,001 Fibonacci Numbers...

*    Fibonacci Number - Wolfram Research

Annotated essay on this mathematical concept. Features links to definitions of related topics. Cover Binet`s formula and Pascal`s triangle...

*    Fibonacci Numbers

Search with Yahoo! Offers links: Science> Mathematics> Numerical Analysis> Numbers> Fibonacci...

*    Fibonacci in Nature

The Fibonacci numbers play a significant role in nature and in art and architecture...

*    Leonardo Pisano Fibonacci

University of St Andrews. Biography of Fibonacci, or Leonardo of Pisa. Describes his book Liber abaci, which introduced Arabic numerals and place-value decimal numeration to Europe and contained a problem that led to the Fibonacci number sequance...

*    Math Forum web pages on Pascal`s triangle

Probably the best place to find out all about Pascal`s triangle ...

*    Pascal`s Triangle and related triangles

Contens: Links, Puzzles, Related Triangles, Clown Problem ( Catalan Numbers ), Tchebychev Polynomials, Bessel Polynomials, Stirling numbers ...

*    KryssTal: Pascal`s Triangle

Pascal`s Triangle and its uses in probability. The Binomial Theorem used for algebraic expansions and finding roots ...

*    Pascal`s Triangle Image Generator

Generate nice pictures with Pascal`s triangle ...

*    Chinese Mathematics: Binomial Theorem and the Pascal Triangle

So called ` Pascal ` triangle was known in China as early as 1261. In 1261 the triangle appears to a depth of six in Yang Hui and to a depth of eight in Zhu Shijiei in 1303. Yang Hui attributes the triangle to Jia Xian, who lived in ...

*    New Theory on the Typographical Roots of the Hindu Arabic Numbers and Brahmi Scripts

The Hindu Arabic numbering is named for Hindus who appear to have invented it, and the Arabs who transmitted it to the West.The Hindu Arabic 1-2-3-4 numbers are based traces with angles: The number one has one angle.The number two has twoadditives angles. The number three has three aditives angles.The number four has four additive angles. The number four get closed due to cursive hand write....

*    Fibonacci and Phi site

Dawson Merrill`s page of www links to other sites on Fibonacci numbers and Golden Section...

*    Golden Section in Art and Architecture.

A set of slides by Jill Britton....

*    The Math Forum-Math Library-Golden Ratio/Fibonacci

The Math Forum`s Internet math library is a comprehensive catalog of web sites and web pages relating to the study of mathematics. This page contains sites relating to Fibonacci Sequence and Golden Section...

*    The Golden Mean

Rashomon`s Golden Mean pages. The Golden Mean is a ratio that is present in the growth patterns of many things - the spiral formed by a shell or the curve of a fern...

*    The LIX Unit

Joseph Edward Batter proposes the "LIX" unit, Phi^16 and 17 divided by 1000, noting its conversion to other known measurements such as the Planetary mean distances, Light Speed and the Great Pyramid at Giza.  The results suggest the existence of a Planetary System of Measure.  LIX he calls the "Tri-Ten" system.  L is for Light Speed, I is the Planetary mean distance Set and X is for Time...

*    Solar System Geometry

A case for Divine Design in the Solar System.  Alan Bennett tracks the evidence for Divine creation in our Solar System...

*    The Golden Mean

From the Mathcad Library: Constans listed below are organized by area within mathematics : Pythagoras` constant, Golden Mean, Natural logaritmic base e, Archimedes constant Pi, Euler-Mascheroni constant...

*    Sacred Geometry Home Page

The Sphere, Circle, Point, Square Root of 2 and 3, Spirals, Toroids, Fractals, Solids, Stellations, and of course, the Golden Ratio are described on these excellent and concise pages...

*    PI: 51.5 billion decimal digits

Yasumasa Kanada and Daisuke Takahashi. Declared record : 51,539,600,000 decimal digits...

*    Search In 10 million digits of PI page

This page provides you with a form to scan an arbitrary decimal pattern in the first 10 million digits of PI. You can download the full 10 million digits from this link...

        

Education

Excellence in Edu. ENC Digital Dozen StudyWeb
BJPinch Edu. Scientium Project Rastko
Education World Britannica.com Scirus
Bigchalk Edu. Schoolsnet Coolmath
BBC Education Education Index Academic Info



LINKS TO THE OTHER SITES


*    SRPSKA AKADEMIJA NAUKA I UMETNOSTI

*    ELEKTROTEHNICKI FAKULTET - UNIVERZITET U BEOGRADU

Elektrotehnicki fakultet ima veliku tradiciju, preko 50 godina (osnovan 1948. godine). Nastava elektrotehnike na Univerzitetu u Beogradu pocela je znatno ranije, daleke 1894. godine. Od osnivanja do 30.09.2000 Elektrotehnicki fakultet je dao 13.598 diplomiranih inzenjera, 1584 magistra i 433 doktora nauka.Fakultet ima cetiri odseka: Odsek za elektroniku, telekomunikacije i automatiku, Odsek za racunarsku tehniku i informatiku, Odsek za energetiku i Odsek za fizicku elektroniku. Na ova cetiri odseka izucavaju se prakticno sve oblasti elektrotehnike: elektronika, telekomunikacije, automatika, racunarska tehnika i informatika, elektroenergetski sistemi, energetski pretvaraci i pogoni, mikroelektronika, optoelektronika i laserska tehnika, medicinska i nuklearna tehnika i elektrotehnicki materijali....

*    MATEMATICKI FAKULTET - UNIVERZITET U BEOGRADU

Matematicki fakultet Univerziteta u Beogradu zvanicno postoji kao samostalna naucno-nastavna ustanova od 1995. Medjutim, jos 20. decembra 1873. godine na Velikoj Skoli je osnovana prva Katedra za matematiku na tadasnjem prirodno-matematickom odseku Filozofskog fakuleta. Ove godine se, otuda, navrsava 125 godina od nastave matematike na Univerzitetu u Beogradu, a ovaj datum nas Fakultet slavi kao Dan Fakuleta...Na redovnim studijama postoji 9 smerova: teorijska matematika i primene, verovatnoca i statistika, numericka matematika i optimizacija, racunarstvo i informatika, mehanika cvrstih fluida, mehanika neprekidnih sredina, astronomija, astrofizika i smer profesor matematike i racunarstva ...

*    ISTRAZIVACKA STANICA PETNICA

Istrazivacka stanica Petnica je nezavisna i neprofitna organizacija, namenjena dodatnom, izvanskolskom naucnom obrazovanju ucenika, studenata i nastavnika, zainteresovanih za prosirivanje znanja u oblasti prirodnih i drustvenih nauka. Nalazi se u selu Petnica, 7 km jugoistocno od Valjeva, 99km jugozapadno od Beograda, neposredno pored stare crkve, na mestu srednjevekovnog manastira. U neposrednoj blizini nalazi se Petnicka pecina sa rekom ponornicom i interesantnim biljnim i zivotinjskim svetom, arheoloski lokalitet star oko 6.500 godina, vestacko jezero povrsine oko 3 hektara i sportsko-rekreativni centar sa plivackim bazenima i terenima za sport i rekreaciju....

*    TEHNICKA SKOLA LAJKOVAC

Zvanicna prezentacija Tehnicke Skole u Lajkovcu...

*    TOMA PETROVIC - YU1AB

Web sajt naseg poznatog radioamatera TOME Petrovica,YU1AB .Iz sadrzaja:
New rules for Yugoslav Awards - general rules; Yugoslav Awards:WAYUG,BEOGRAD,LAJKOVAC,VOJVODINA, HAYUG, WAYUG VHF/UHF, YUDXC, YUDX ...Domace i svetske diplome; Knjiga:Radio - amaterske diplome, trofeji i takmicenja...

*    MILANOVIC VOJO - DIGITALNA ELEKTRONIKA I PROGRAMIRANJE

Milanovic Vojo, dipl.el.ing., predaje digitalnu elektroniku i programiranje u asembleru i Turbo-pascalu u Elektrotehnickoj skoli u Lajkovcu. Na njegovom Web sajtu mozete naci dosta primera zadataka, maturskih radova i prakticnih vezbi iz predmeta Digitalna elektronika, Racunari i programiranje i Mikroprocesori....

*    MILOS PANIC - Home Page

Web stranice Milosa Panica, profesora Tehnicke Skole u Lajkovcu. Ovde mozete download-ovati dosta korisnih programa...



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  2001-2004 Radoslav Jovanovic                 created:  September 2004.