The classic art in The classic art in math math

What is math?What is math? The answer is not so simple (as you would like) and The answer is not so simple (as you would like) and

contrasts the fact that mathematics has a history with contrasts the fact that mathematics has a history with roots planted deep in history. Nevertheless try to shed roots planted deep in history. Nevertheless try to shed light on this subject, from, first, from etymology. light on this subject, from, first, from etymology. Etymology of the word "mathematics" has its origins in the Etymology of the word "mathematics" has its origins in the Greek "μάθημα (" máthēma "), which means" learning "," Greek "μάθημα (" máthēma "), which means" learning "," study "," science ", but subsequently obtained and study "," science ", but subsequently obtained and meaning" mathematical study ". In Greek, the term has meaning" mathematical study ". In Greek, the term has entered the Latin as "Mathematica" and then in similar entered the Latin as "Mathematica" and then in similar forms in European languages. The apparent plural form in forms in European languages. The apparent plural form in English "mathematics" was created by borrowing singular English "mathematics" was created by borrowing singular Greek names to match them with the already existing Greek names to match them with the already existing "physics" and "Metaphysics". English plural and plural form "physics" and "Metaphysics". English plural and plural form such as French "les mathématiques", returned to the Latin such as French "les mathématiques", returned to the Latin neuter plural form of "Mathematica" (Cicero), initiated by neuter plural form of "Mathematica" (Cicero), initiated by "τα μαθηματικά" ("Your Mathematik") and used by "τα μαθηματικά" ("Your Mathematik") and used by Aristotle to mean "all things mathematical.Aristotle to mean "all things mathematical.

In Romanian, the term was copied from the In Romanian, the term was copied from the French "mathématique" and italienescul French "mathématique" and italienescul "math." It also uses the plural name - math, "math." It also uses the plural name - math, referring to applications of mathematics referring to applications of mathematics (financial mathematics, actuarial, etc.)..(financial mathematics, actuarial, etc.)..

Etymology explains only the appearance of Etymology explains only the appearance of mathematics and less time - what he refers. mathematics and less time - what he refers. Even if someone is learning about the original Even if someone is learning about the original meaning, the link is more hilarious because meaning, the link is more hilarious because for many mathematics requires a special for many mathematics requires a special effort to study it.effort to study it.

To clarify things, however, continue to appeal To clarify things, however, continue to appeal to the definitions of the most popular and to the definitions of the most popular and accessible dictionaries ...accessible dictionaries ...

For many mathematics means an intellectual exercise of For many mathematics means an intellectual exercise of formulating and proving their theorems from axioms and formulating and proving their theorems from axioms and definitions, using logical reasoning. Of course, the ancient definitions, using logical reasoning. Of course, the ancient Greeks, axioms / postulates and definitions related to Greeks, axioms / postulates and definitions related to arithmetic or geometric objects. Currently, the axioms and arithmetic or geometric objects. Currently, the axioms and definitions may refer to numerous other objects, either: definitions may refer to numerous other objects, either: fields, algebras, rings etc.. It remained unchanged at least fields, algebras, rings etc.. It remained unchanged at least one thing - demonstrated theorems, that truths about the one thing - demonstrated theorems, that truths about the original and derived objects.original and derived objects.

Mathematics is also characterized by permanence and Mathematics is also characterized by permanence and universality, but also for its independence and the cultural universality, but also for its independence and the cultural (Asgar Aaboe). It's hard to imagine another area of (Asgar Aaboe). It's hard to imagine another area of knowledge where new generation would not address the knowledge where new generation would not address the foregoing. In mathematics, the new generation built on the foregoing. In mathematics, the new generation built on the foundations built by previous generations (Herman Henkel). foundations built by previous generations (Herman Henkel). Once established mathematical truths remain eternal ... Once established mathematical truths remain eternal ... Pythagorean Theorem is as true now as it was 2,000 years Pythagorean Theorem is as true now as it was 2,000 years ago and how it will be true and over 2000 years.ago and how it will be true and over 2000 years.

Not at all strange that the original quotes about Not at all strange that the original quotes about mathematics gives any exposure mathematical nuances, mathematics gives any exposure mathematical nuances, even though belonging to personalities.even though belonging to personalities.

A man without dreams, without utopia, A man without dreams, without utopia, without ideals, would be a monstrous without ideals, would be a monstrous animal, a wild boar diplomat in pure animal, a wild boar diplomat in pure mathematics. Fabrizio De Andremathematics. Fabrizio De Andre

Those who look outside of mathematics, Those who look outside of mathematics, see their core account. IonBarbusee their core account. IonBarbu

Mathematics is a language and science. Mathematics is a language and science. Lucian BlagaLucian Blaga

Mathematics is a form of poetry which Mathematics is a form of poetry which transcends poetry in that it proclaims transcends poetry in that it proclaims the truth, a form of reasoning which the truth, a form of reasoning which transcends reasoning in that it wants to transcends reasoning in that it wants to accomplish the truth it proclaims, a form accomplish the truth it proclaims, a form of action, ritual behavior, which finds of action, ritual behavior, which finds fulfillment in the act, but must proclaim fulfillment in the act, but must proclaim and elaborate a poetic form of truth. and elaborate a poetic form of truth. Salomon BochnerSalomon Bochner

Mathematics is as much a part of culture as a Mathematics is as much a part of culture as a collection of algorithms. Carl Boyercollection of algorithms. Carl Boyer

Mathematics is neither more nor less, than the Mathematics is neither more nor less, than the precise part of our thinking. LEJ Brouwerprecise part of our thinking. LEJ Brouwer

Communism is by nature mathematical paradox. Communism is by nature mathematical paradox. Obsession to form a party of all, a share equal to the Obsession to form a party of all, a share equal to the whole. Valeriu Butulescuwhole. Valeriu Butulescu

Mathematics is sad fates. Bruno at the stake end, Mathematics is sad fates. Bruno at the stake end, and Pope walks by plane. Valeriu Butulescuand Pope walks by plane. Valeriu Butulescu

I always considered genetics as God's math. On the I always considered genetics as God's math. On the other hand when you see a genetic map, on those other hand when you see a genetic map, on those break points and realize that followed the map on a break points and realize that followed the map on a Single Random chance somewhere once, that is God! Single Random chance somewhere once, that is God! Each genetic map are the steps where he had broken Each genetic map are the steps where he had broken God. Sorin CerinGod. Sorin Cerin

Without spiritual perspective, human life is quickly reduced Without spiritual perspective, human life is quickly reduced to mathematics: number of individuals robotic and to mathematics: number of individuals robotic and quantities of finished products for specified purposes, but in quantities of finished products for specified purposes, but in a closed world in itself, self-sufficient. Patriarch Daniela closed world in itself, self-sufficient. Patriarch Daniel

Mathematics is the supreme judge, no appeal against its Mathematics is the supreme judge, no appeal against its decisions. Tobias Dantzigdecisions. Tobias Dantzig

Mathematics is a tool specifically tailored to have to deal Mathematics is a tool specifically tailored to have to deal with abstract concepts of any kind and there is a limit to his with abstract concepts of any kind and there is a limit to his power in this area. Paul Diracpower in this area. Paul Dirac

When the laws of mathematics refer to reality, they are not When the laws of mathematics refer to reality, they are not safe. If you are safe, does not refer to reality. Albert safe. If you are safe, does not refer to reality. Albert EinsteinEinstein

Do not worry if math gives you headaches. I assure you Do not worry if math gives you headaches. I assure you mine are higher. Albert Einsteinmine are higher. Albert Einstein

Equality does not exist only in mathematics. Mihai EminescuEquality does not exist only in mathematics. Mihai Eminescu Mathematics is like a death: if you pour the wheat berries in Mathematics is like a death: if you pour the wheat berries in

it, you'll get flour, but if you pour into it bran, bran will it, you'll get flour, but if you pour into it bran, bran will obţine.Huxleyobţine.Huxley

Mathematics is the only good metaphysics. William Thomson Mathematics is the only good metaphysics. William Thomson Baron KelvinBaron Kelvin

Mathematics is a realm that many walks, many of you Mathematics is a realm that many walks, many of you know, many choice, one fact, why so. I think it's come step know, many choice, one fact, why so. I think it's come step by step reasoning leads us to conclude that some things by step reasoning leads us to conclude that some things just have a logical and it works. In some of these reasons just have a logical and it works. In some of these reasons were true temples were built, but if we reconsider the were true temples were built, but if we reconsider the original reasoning, we reach other inferences? It's just a original reasoning, we reach other inferences? It's just a question. The road is long and difficult in science. The question. The road is long and difficult in science. The more complicated reasoning, the more you feel entitled to more complicated reasoning, the more you feel entitled to ask if it could be otherwise. Mariana Lightningask if it could be otherwise. Mariana Lightning

Mathematics is the language with which God wrote the Mathematics is the language with which God wrote the universe. Galileo Galileiuniverse. Galileo Galilei

Mathematic is the queen of the sains . Karl Friedrich GaussMathematic is the queen of the sains . Karl Friedrich Gauss

Oh, that's zero would have remained only in math! Vasile Oh, that's zero would have remained only in math! Vasile GhicaGhica

Mathematics is not just a collection of facts or "results", is Mathematics is not just a collection of facts or "results", is also a set of procedures to isolate problems or to solve also a set of procedures to isolate problems or to solve them, a set of presumptions and inferences permissible them, a set of presumptions and inferences permissible way of thinking about things. Jeremy Grayway of thinking about things. Jeremy Gray

The essence of mathematics is not to make things more The essence of mathematics is not to make things more complicated, but to make complicated things simple. S. complicated, but to make complicated things simple. S. GudderGudder

Mathematics is a game played according to certain simple Mathematics is a game played according to certain simple rules with meaningless marks on paper. David Hilbertrules with meaningless marks on paper. David Hilbert

He became a poet. To have little mathematical He became a poet. To have little mathematical imagination. DavidHilbertimagination. DavidHilbert

Only allow the human spirit to achieve mathematical Only allow the human spirit to achieve mathematical certainty. Krebs If geometry would preclude our passions certainty. Krebs If geometry would preclude our passions and interests as much as the moral challenge we did it and and interests as much as the moral challenge we did it and break it not less, despite all the demonstrations of Euclid and break it not less, despite all the demonstrations of Euclid and Archimedes, which we treat dreaming and I think full of false Archimedes, which we treat dreaming and I think full of false judgments. Karl Leibniz Mathematics will be the future of judgments. Karl Leibniz Mathematics will be the future of Latin mandatory for all scientists. Precisely because the Latin mandatory for all scientists. Precisely because the mathematics allows maximum speed of circulation of mathematics allows maximum speed of circulation of scientific ideas. Gregory Moisil Learning math, learn to think. scientific ideas. Gregory Moisil Learning math, learn to think. Gregory Moisil Everything is correct thinking is susceptible Gregory Moisil Everything is correct thinking is susceptible mathematization or math. Gregory Math Moisil Today we will mathematization or math. Gregory Math Moisil Today we will mostly be used tomorrow and tomorrow. That if we do it mostly be used tomorrow and tomorrow. That if we do it today, tomorrow we should import. Gregory Moisil today, tomorrow we should import. Gregory Moisil Mathematics is the science that draws necessary Mathematics is the science that draws necessary conclusions. Benjamin Peirce Mathematics is the art of giving conclusions. Benjamin Peirce Mathematics is the art of giving the same name to different things. Henri Poincare the same name to different things. Henri Poincare mathematics is to prove what is obvious in the least obvious mathematics is to prove what is obvious in the least obvious way. George Polya. To solve a problem is to find a way out of way. George Polya. To solve a problem is to find a way out of difficulty. GeorgePolya Mathematics may be defined as difficulty. GeorgePolya Mathematics may be defined as material that we never know what we are talking about nor material that we never know what we are talking about nor whether what we say is true. Mathematics is the music of whether what we say is true. Mathematics is the music of Bertrand Russell reason. James J. Sylvester Mathematics is Bertrand Russell reason. James J. Sylvester Mathematics is an expression of natural law, is the easiest and best way to an expression of natural law, is the easiest and best way to describe a general law or the flow of a phenomenon, is the describe a general law or the flow of a phenomenon, is the most perfect language that can tell a natural phenomenon. most perfect language that can tell a natural phenomenon. George Titeica Mathematics, in its broadest sense, is the George Titeica Mathematics, in its broadest sense, is the development of all types of formal reasoning, and deductive development of all types of formal reasoning, and deductive necessary. Alfred North Whitehead, Mathematics is the necessary. Alfred North Whitehead, Mathematics is the science of skillful operations with concepts and rules science of skillful operations with concepts and rules invented for this purpose. Eugene Wignerinvented for this purpose. Eugene Wigner

Mathematics and musicMathematics and music

Since ancient times there has been a Since ancient times there has been a connection between music and cognition, connection between music and cognition, especially as regards the mathematical skills. especially as regards the mathematical skills. For Pythagoras, music and mathematics were For Pythagoras, music and mathematics were the same thing. He suggested that the same thing. He suggested that mathematical relations are closely related to mathematical relations are closely related to musical arrangements. This thinking has been musical arrangements. This thinking has been perpetuated over time, until an American perpetuated over time, until an American thinker, able to impose the introduction of thinker, able to impose the introduction of music study in school. In fact, most great music study in school. In fact, most great mathematicians were passionate about music. mathematicians were passionate about music. Over time, several studies have shown that Over time, several studies have shown that music is actually an excellent system of music is actually an excellent system of learning, and children who listen to music at an learning, and children who listen to music at an early age have greater abilities of early age have greater abilities of understanding of mathematics.understanding of mathematics.

  A famous quote says that "Mathematics is the music of A famous quote says that "Mathematics is the music of

reason." But what they share these two sciences and reason." But what they share these two sciences and the arts? It is said that listening to classical music the arts? It is said that listening to classical music improves math skills, but that mastery of basic math improves math skills, but that mastery of basic math concepts helps in understanding music theory. concepts helps in understanding music theory. However, the link between the two is much deeper.However, the link between the two is much deeper.

Music, art that expresses feelings and using sound Music, art that expresses feelings and using sound mental state, melodic and harmonic mental state, melodic and harmonic sunetecombinate to be pleasant hearing sunetecombinate to be pleasant hearing istoriaculturii arose early, before the man ordered istoriaculturii arose early, before the man ordered the music to articulate words, can the Paleolithic, the music to articulate words, can the Paleolithic, Neolithic sigurdin. It is based on the regular Neolithic sigurdin. It is based on the regular vibrations are caused by elastic bodies, ie the music vibrations are caused by elastic bodies, ie the music sounds (but uses modern electronic music, sounds (but uses modern electronic music, sometimes on lângăsunete music and noise, sometimes on lângăsunete music and noise, vibration that is irregular and the so-called music vibration that is irregular and the so-called music abstractăutilizează especially noise).abstractăutilizează especially noise).

Based on the mathematical Based on the mathematical properties of musical structure, properties of musical structure, scientists went even further and built scientists went even further and built the complex computer algorithms, the complex computer algorithms, obtaining computer programs that obtaining computer programs that convert music files or kaleidoscopic convert music files or kaleidoscopic geometric structures in constant geometric structures in constant motionmotion

Kinship mathematics music is the Kinship mathematics music is the most diverse applications. Can be most diverse applications. Can be used in teaching mathematics used in teaching mathematics concepts of rhythm and able to concepts of rhythm and able to highlight the link between highlight the link between multiplication and division multiplication and division operations with fractions. For operations with fractions. For example, a song that has measure 3 / example, a song that has measure 3 / 4 times the amount of notes in each 4 times the amount of notes in each measure must be three quarters. measure must be three quarters. Also, scales and musical intervals Also, scales and musical intervals can be helpful in understanding can be helpful in understanding some basic mathematical concepts some basic mathematical concepts such as strings, bands or crowds. If such as strings, bands or crowds. If we think of a piano keyboard, note we think of a piano keyboard, note that repeated notes of white flaps 7 that repeated notes of white flaps 7 in July. If each note in order to in July. If each note in order to replace a number from 1-7, we get a replace a number from 1-7, we get a string of numbers whose elements string of numbers whose elements are repeated in 7 of 7.are repeated in 7 of 7.

2500 years ago, Pythagoras was served by a single-string 2500 years ago, Pythagoras was served by a single-string instrument called a (single vibrating string), which is analogous to instrument called a (single vibrating string), which is analogous to the sound level meter used today for studying vibration chords. the sound level meter used today for studying vibration chords. Using this single-string, Pythagoras and realized, at first, as Using this single-string, Pythagoras and realized, at first, as musical sound (or speak) is the result: regular vibrations of elastic musical sound (or speak) is the result: regular vibrations of elastic bodies. Also, Pythagoras found that when two strings vibrating bodies. Also, Pythagoras found that when two strings vibrating together, one of which is two times longer than the other, you can together, one of which is two times longer than the other, you can hear two sounds, short string sound giving the highest. The sound hear two sounds, short string sound giving the highest. The sound produced by the highest octave string is short compared to the produced by the highest octave string is short compared to the lowest sound produced by double strand. Therefore, if the two lowest sound produced by double strand. Therefore, if the two length ratio ratio coadre frequency sound is emitted, that reports length ratio ratio coadre frequency sound is emitted, that reports the length and frequency are inverse to each other. Pythagoras the length and frequency are inverse to each other. Pythagoras found that if all strings lengths are in the report, hear the sounds found that if all strings lengths are in the report, hear the sounds that form the musical interval called a quint, and the report gives that form the musical interval called a quint, and the report gives the range called block. In this way, simple and accurate the range called block. In this way, simple and accurate assessment reports integers in the three intervals considered assessment reports integers in the three intervals considered consonant perfect octave, quint and block, perfect, was the consonant perfect octave, quint and block, perfect, was the musical system. Stating the basis of these three intervals by musical system. Stating the basis of these three intervals by Pythagoras and his disciples, then it could set the range (scale) Pythagoras and his disciples, then it could set the range (scale) Diatonic Greek (Pythagorean scale), whose sounds (notes) were Diatonic Greek (Pythagorean scale), whose sounds (notes) were named after the do, re, mi, fa, sol to, and do. English, Dutch, named after the do, re, mi, fa, sol to, and do. English, Dutch, Germans and Hungarians designates the 8 octave sounds of the Germans and Hungarians designates the 8 octave sounds of the lettersletters

Sounds do re mi fa sol la si do

letters C D E F G A H C

Hence, Pythagoras and his followers have realized Hence, Pythagoras and his followers have realized that the sequence of sounds (notes) reports involved that the sequence of sounds (notes) reports involved constant musical whole that 1,2,3,4 nunmereconstant musical whole that 1,2,3,4 nunmere

Later, we saw that if we consider equal to the unit Later, we saw that if we consider equal to the unit that produces the sound-level meter length do, the that produces the sound-level meter length do, the lengths of the other notes are less than one, but lengths of the other notes are less than one, but always expressed by rational numbers as integers always expressed by rational numbers as integers reports. Namely, it was found that the Pythagorean reports. Namely, it was found that the Pythagorean musical scale, we have the following correspondence:musical scale, we have the following correspondence:

sounds Do1

Re1 Mi1

Fa1

Sol1

La1 Si1 Do2

Lengths of the strings

1

The music occurs, as in poetry, rhythm and measure, The music occurs, as in poetry, rhythm and measure, the only way to asigurătrăinicia and aesthetics of the only way to asigurătrăinicia and aesthetics of musical works. How is math and measuring cadence, musical works. How is math and measuring cadence, iatălegătura close of art that can express all the iatălegătura close of art that can express all the feelings omeneştişi science certainty.feelings omeneştişi science certainty.

One of the most impersionante evidence for the One of the most impersionante evidence for the relationship between music and mathematics, a relationship between music and mathematics, a mathematician Goncharov found by studies on mathematician Goncharov found by studies on partial differential equations, an entirely new partial differential equations, an entirely new agreement, extremely pleasant, and may lead to the agreement, extremely pleasant, and may lead to the construction of musical instruments in November.construction of musical instruments in November.

to recall the words of the great to recall the words of the great mathematician Sylvester: mathematician Sylvester:

"There might be music as it "There might be music as it senses mathematical reasoning senses mathematical reasoning and mathematics as music? For and mathematics as music? For the musician feels mathematics, the musician feels mathematics, mathematician and music mathematician and music design. I dream music, design. I dream music, mathematics, practical life!mathematics, practical life!

With all these things in mind, With all these things in mind, maybe next time you hear a song maybe next time you hear a song you think of the harmony you think of the harmony mathematics behind the music mathematics behind the music that inspires you. Enjoy!that inspires you. Enjoy!

Project made by:Project made by: Cozmescu DanielaCozmescu Daniela Boca AndreiBoca Andrei Ciont TeodoraCiont Teodora Cioban RaduCioban Radu Baies SinetaBaies Sineta Chis OvidiuChis Ovidiu