Download presentation

Presentation is loading. Please wait.

Published byEmma Checkley Modified over 2 years ago

1
The classic art in math

2
What is math? What is math? The answer is not so simple (as you would like) and contrasts the fact that mathematics has a history with roots planted deep in history. Nevertheless try to shed light on this subject, from, first, from etymology. Etymology of the word "mathematics" has its origins in the Greek "μ άθη μ α (" máth ē ma "), which means" learning "," study "," science ", but subsequently obtained and meaning" mathematical study ". In Greek, the term has entered the Latin as "Mathematica" and then in similar forms in European languages. The apparent plural form in English "mathematics" was created by borrowing singular Greek names to match them with the already existing "physics" and "Metaphysics". English plural and plural form such as French "les mathématiques", returned to the Latin neuter plural form of "Mathematica" (Cicero), initiated by " τα μ αθη μ ατικά " ("Your Mathematik") and used by Aristotle to mean "all things mathematical. The answer is not so simple (as you would like) and contrasts the fact that mathematics has a history with roots planted deep in history. Nevertheless try to shed light on this subject, from, first, from etymology. Etymology of the word "mathematics" has its origins in the Greek "μ άθη μ α (" máth ē ma "), which means" learning "," study "," science ", but subsequently obtained and meaning" mathematical study ". In Greek, the term has entered the Latin as "Mathematica" and then in similar forms in European languages. The apparent plural form in English "mathematics" was created by borrowing singular Greek names to match them with the already existing "physics" and "Metaphysics". English plural and plural form such as French "les mathématiques", returned to the Latin neuter plural form of "Mathematica" (Cicero), initiated by " τα μ αθη μ ατικά " ("Your Mathematik") and used by Aristotle to mean "all things mathematical.

3
In Romanian, the term was copied from the French "mathématique" and italienescul "math." It also uses the plural name - math, referring to applications of mathematics (financial mathematics, actuarial, etc.).. In Romanian, the term was copied from the French "mathématique" and italienescul "math." It also uses the plural name - math, referring to applications of mathematics (financial mathematics, actuarial, etc.).. Etymology explains only the appearance of mathematics and less time - what he refers. Even if someone is learning about the original meaning, the link is more hilarious because for many mathematics requires a special effort to study it. Etymology explains only the appearance of mathematics and less time - what he refers. Even if someone is learning about the original meaning, the link is more hilarious because for many mathematics requires a special effort to study it. To clarify things, however, continue to appeal to the definitions of the most popular and accessible dictionaries... To clarify things, however, continue to appeal to the definitions of the most popular and accessible dictionaries...

4
For many mathematics means an intellectual exercise of formulating and proving their theorems from axioms and definitions, using logical reasoning. Of course, the ancient Greeks, axioms / postulates and definitions related to arithmetic or geometric objects. Currently, the axioms and definitions may refer to numerous other objects, either: fields, algebras, rings etc.. It remained unchanged at least one thing - demonstrated theorems, that truths about the original and derived objects. For many mathematics means an intellectual exercise of formulating and proving their theorems from axioms and definitions, using logical reasoning. Of course, the ancient Greeks, axioms / postulates and definitions related to arithmetic or geometric objects. Currently, the axioms and definitions may refer to numerous other objects, either: fields, algebras, rings etc.. It remained unchanged at least one thing - demonstrated theorems, that truths about the original and derived objects. Mathematics is also characterized by permanence and universality, but also for its independence and the cultural (Asgar Aaboe). It's hard to imagine another area of knowledge where new generation would not address the foregoing. In mathematics, the new generation built on the foundations built by previous generations (Herman Henkel). Once established mathematical truths remain eternal... Pythagorean Theorem is as true now as it was 2,000 years ago and how it will be true and over 2000 years. Mathematics is also characterized by permanence and universality, but also for its independence and the cultural (Asgar Aaboe). It's hard to imagine another area of knowledge where new generation would not address the foregoing. In mathematics, the new generation built on the foundations built by previous generations (Herman Henkel). Once established mathematical truths remain eternal... Pythagorean Theorem is as true now as it was 2,000 years ago and how it will be true and over 2000 years. Not at all strange that the original quotes about mathematics gives any exposure mathematical nuances, even though belonging to personalities. Not at all strange that the original quotes about mathematics gives any exposure mathematical nuances, even though belonging to personalities.

5
A man without dreams, without utopia, without ideals, would be a monstrous animal, a wild boar diplomat in pure mathematics. Fabrizio De Andre A man without dreams, without utopia, without ideals, would be a monstrous animal, a wild boar diplomat in pure mathematics. Fabrizio De Andre Those who look outside of mathematics, see their core account. IonBarbu Those who look outside of mathematics, see their core account. IonBarbu Mathematics is a language and science. Lucian Blaga Mathematics is a language and science. Lucian Blaga Mathematics is a form of poetry which transcends poetry in that it proclaims the truth, a form of reasoning which transcends reasoning in that it wants to accomplish the truth it proclaims, a form of action, ritual behavior, which finds fulfillment in the act, but must proclaim and elaborate a poetic form of truth. Salomon Bochner Mathematics is a form of poetry which transcends poetry in that it proclaims the truth, a form of reasoning which transcends reasoning in that it wants to accomplish the truth it proclaims, a form of action, ritual behavior, which finds fulfillment in the act, but must proclaim and elaborate a poetic form of truth. Salomon Bochner

6
Mathematics is as much a part of culture as a collection of algorithms. Carl Boyer Mathematics is as much a part of culture as a collection of algorithms. Carl Boyer Mathematics is neither more nor less, than the precise part of our thinking. LEJ Brouwer Mathematics is neither more nor less, than the precise part of our thinking. LEJ Brouwer Communism is by nature mathematical paradox. Obsession to form a party of all, a share equal to the whole. Valeriu Butulescu Communism is by nature mathematical paradox. Obsession to form a party of all, a share equal to the whole. Valeriu Butulescu Mathematics is sad fates. Bruno at the stake end, and Pope walks by plane. Valeriu Butulescu Mathematics is sad fates. Bruno at the stake end, and Pope walks by plane. Valeriu Butulescu I always considered genetics as God's math. On the other hand when you see a genetic map, on those break points and realize that followed the map on a Single Random chance somewhere once, that is God! Each genetic map are the steps where he had broken God. Sorin Cerin I always considered genetics as God's math. On the other hand when you see a genetic map, on those break points and realize that followed the map on a Single Random chance somewhere once, that is God! Each genetic map are the steps where he had broken God. Sorin Cerin

7
Without spiritual perspective, human life is quickly reduced to mathematics: number of individuals robotic and quantities of finished products for specified purposes, but in a closed world in itself, self-sufficient. Patriarch Daniel Without spiritual perspective, human life is quickly reduced to mathematics: number of individuals robotic and quantities of finished products for specified purposes, but in a closed world in itself, self-sufficient. Patriarch Daniel Mathematics is the supreme judge, no appeal against its decisions. Tobias Dantzig Mathematics is the supreme judge, no appeal against its decisions. Tobias Dantzig Mathematics is a tool specifically tailored to have to deal with abstract concepts of any kind and there is a limit to his power in this area. Paul Dirac Mathematics is a tool specifically tailored to have to deal with abstract concepts of any kind and there is a limit to his power in this area. Paul Dirac When the laws of mathematics refer to reality, they are not safe. If you are safe, does not refer to reality. Albert Einstein When the laws of mathematics refer to reality, they are not safe. If you are safe, does not refer to reality. Albert Einstein Do not worry if math gives you headaches. I assure you mine are higher. Albert Einstein Do not worry if math gives you headaches. I assure you mine are higher. Albert Einstein Equality does not exist only in mathematics. Mihai Eminescu Equality does not exist only in mathematics. Mihai Eminescu 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 ob ţ ine.Huxley 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 ob ţ ine.Huxley Mathematics is the only good metaphysics. William Thomson Baron Kelvin Mathematics is the only good metaphysics. William Thomson Baron Kelvin

8
Mathematics is a realm that many walks, many of you know, many choice, one fact, why so. I think it's come step by step reasoning leads us to conclude that some things just have a logical and it works. In some of these reasons were true temples were built, but if we reconsider the original reasoning, we reach other inferences? It's just a question. The road is long and difficult in science. The more complicated reasoning, the more you feel entitled to ask if it could be otherwise. Mariana Lightning Mathematics is a realm that many walks, many of you know, many choice, one fact, why so. I think it's come step by step reasoning leads us to conclude that some things just have a logical and it works. In some of these reasons were true temples were built, but if we reconsider the original reasoning, we reach other inferences? It's just a question. The road is long and difficult in science. The more complicated reasoning, the more you feel entitled to ask if it could be otherwise. Mariana Lightning Mathematics is the language with which God wrote the universe. Galileo Galilei Mathematics is the language with which God wrote the universe. Galileo Galilei Mathematic is the queen of the sains. Karl Friedrich Gauss Mathematic is the queen of the sains. Karl Friedrich Gauss Oh, that's zero would have remained only in math! Vasile Ghica Oh, that's zero would have remained only in math! Vasile Ghica Mathematics is not just a collection of facts or "results", is also a set of procedures to isolate problems or to solve them, a set of presumptions and inferences permissible way of thinking about things. Jeremy Gray Mathematics is not just a collection of facts or "results", is also a set of procedures to isolate problems or to solve them, a set of presumptions and inferences permissible way of thinking about things. Jeremy Gray The essence of mathematics is not to make things more complicated, but to make complicated things simple. S. Gudder The essence of mathematics is not to make things more complicated, but to make complicated things simple. S. Gudder Mathematics is a game played according to certain simple rules with meaningless marks on paper. David Hilbert Mathematics is a game played according to certain simple rules with meaningless marks on paper. David Hilbert He became a poet. To have little mathematical imagination. DavidHilbert He became a poet. To have little mathematical imagination. DavidHilbert

9
Only allow the human spirit to achieve mathematical certainty. Krebs If geometry would preclude our passions and interests as much as the moral challenge we did it and break it not less, despite all the demonstrations of Euclid and Archimedes, which we treat dreaming and I think full of false judgments. Karl Leibniz Mathematics will be the future of Latin mandatory for all scientists. Precisely because the mathematics allows maximum speed of circulation of scientific ideas. Gregory Moisil Learning math, learn to think. Gregory Moisil Everything is correct thinking is susceptible mathematization or math. Gregory Math Moisil Today we will mostly be used tomorrow and tomorrow. That if we do it today, tomorrow we should import. Gregory Moisil Mathematics is the science that draws necessary conclusions. Benjamin Peirce Mathematics is the art of giving the same name to different things. Henri Poincare 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 difficulty. GeorgePolya Mathematics may be defined as material that we never know what we are talking about nor whether what we say is true. Mathematics is the music of Bertrand Russell reason. James J. Sylvester Mathematics is an expression of natural law, is the easiest and best way to describe a general law or the flow of a phenomenon, is the most perfect language that can tell a natural phenomenon. George Titeica Mathematics, in its broadest sense, is the development of all types of formal reasoning, and deductive necessary. Alfred North Whitehead, Mathematics is the science of skillful operations with concepts and rules invented for this purpose. Eugene Wigner Only allow the human spirit to achieve mathematical certainty. Krebs If geometry would preclude our passions and interests as much as the moral challenge we did it and break it not less, despite all the demonstrations of Euclid and Archimedes, which we treat dreaming and I think full of false judgments. Karl Leibniz Mathematics will be the future of Latin mandatory for all scientists. Precisely because the mathematics allows maximum speed of circulation of scientific ideas. Gregory Moisil Learning math, learn to think. Gregory Moisil Everything is correct thinking is susceptible mathematization or math. Gregory Math Moisil Today we will mostly be used tomorrow and tomorrow. That if we do it today, tomorrow we should import. Gregory Moisil Mathematics is the science that draws necessary conclusions. Benjamin Peirce Mathematics is the art of giving the same name to different things. Henri Poincare 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 difficulty. GeorgePolya Mathematics may be defined as material that we never know what we are talking about nor whether what we say is true. Mathematics is the music of Bertrand Russell reason. James J. Sylvester Mathematics is an expression of natural law, is the easiest and best way to describe a general law or the flow of a phenomenon, is the most perfect language that can tell a natural phenomenon. George Titeica Mathematics, in its broadest sense, is the development of all types of formal reasoning, and deductive necessary. Alfred North Whitehead, Mathematics is the science of skillful operations with concepts and rules invented for this purpose. Eugene Wigner

10
Mathematics and music

11
Since ancient times there has been a connection between music and cognition, especially as regards the mathematical skills. For Pythagoras, music and mathematics were the same thing. He suggested that mathematical relations are closely related to musical arrangements. This thinking has been perpetuated over time, until an American thinker, able to impose the introduction of music study in school. In fact, most great mathematicians were passionate about music. Over time, several studies have shown that music is actually an excellent system of learning, and children who listen to music at an early age have greater abilities of understanding of mathematics. Since ancient times there has been a connection between music and cognition, especially as regards the mathematical skills. For Pythagoras, music and mathematics were the same thing. He suggested that mathematical relations are closely related to musical arrangements. This thinking has been perpetuated over time, until an American thinker, able to impose the introduction of music study in school. In fact, most great mathematicians were passionate about music. Over time, several studies have shown that music is actually an excellent system of learning, and children who listen to music at an early age have greater abilities of understanding of mathematics.

12
A famous quote says that "Mathematics is the music of reason." But what they share these two sciences and the arts? It is said that listening to classical music improves math skills, but that mastery of basic math concepts helps in understanding music theory. However, the link between the two is much deeper. Music, art that expresses feelings and using sound mental state, melodic and harmonic sunetecombinate to be pleasant hearing istoriaculturii arose early, before the man ordered the music to articulate words, can the Paleolithic, Neolithic sigurdin. It is based on the regular vibrations are caused by elastic bodies, ie the music sounds (but uses modern electronic music, sometimes on lângăsunete music and noise, vibration that is irregular and the so-called music abstractăutilizează especially noise).

13
Based on the mathematical properties of musical structure, scientists went even further and built the complex computer algorithms, obtaining computer programs that convert music files or kaleidoscopic geometric structures in constant motion Based on the mathematical properties of musical structure, scientists went even further and built the complex computer algorithms, obtaining computer programs that convert music files or kaleidoscopic geometric structures in constant motion

14
Kinship mathematics music is the most diverse applications. Can be used in teaching mathematics concepts of rhythm and able to highlight the link between multiplication and division operations with fractions. For example, a song that has measure 3 / 4 times the amount of notes in each measure must be three quarters. Also, scales and musical intervals can be helpful in understanding some basic mathematical concepts such as strings, bands or crowds. If we think of a piano keyboard, note that repeated notes of white flaps 7 in July. If each note in order to replace a number from 1-7, we get a string of numbers whose elements are repeated in 7 of 7.

15
2500 years ago, Pythagoras was served by a single-string instrument called a (single vibrating string), which is analogous to the sound level meter used today for studying vibration chords. Using this single-string, Pythagoras and realized, at first, as musical sound (or speak) is the result: regular vibrations of elastic bodies. Also, Pythagoras found that when two strings vibrating together, one of which is two times longer than the other, you can hear two sounds, short string sound giving the highest. The sound produced by the highest octave string is short compared to the lowest sound produced by double strand. Therefore, if the two length ratio ratio coadre frequency sound is emitted, that reports the length and frequency are inverse to each other. Pythagoras 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 the range called block. In this way, simple and accurate assessment reports integers in the three intervals considered consonant perfect octave, quint and block, perfect, was the musical system. Stating the basis of these three intervals by Pythagoras and his disciples, then it could set the range (scale) Diatonic Greek (Pythagorean scale), whose sounds (notes) were named after the do, re, mi, fa, sol to, and do. English, Dutch, Germans and Hungarians designates the 8 octave sounds of the letters 2500 years ago, Pythagoras was served by a single-string instrument called a (single vibrating string), which is analogous to the sound level meter used today for studying vibration chords. Using this single-string, Pythagoras and realized, at first, as musical sound (or speak) is the result: regular vibrations of elastic bodies. Also, Pythagoras found that when two strings vibrating together, one of which is two times longer than the other, you can hear two sounds, short string sound giving the highest. The sound produced by the highest octave string is short compared to the lowest sound produced by double strand. Therefore, if the two length ratio ratio coadre frequency sound is emitted, that reports the length and frequency are inverse to each other. Pythagoras 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 the range called block. In this way, simple and accurate assessment reports integers in the three intervals considered consonant perfect octave, quint and block, perfect, was the musical system. Stating the basis of these three intervals by Pythagoras and his disciples, then it could set the range (scale) Diatonic Greek (Pythagorean scale), whose sounds (notes) were named after the do, re, mi, fa, sol to, and do. English, Dutch, Germans and Hungarians designates the 8 octave sounds of the letters Soundsdoremifasollasido lettersCDEFGAHC

16
Hence, Pythagoras and his followers have realized that the sequence of sounds (notes) reports involved constant musical whole that 1,2,3,4 nunmere Hence, Pythagoras and his followers have realized that the sequence of sounds (notes) reports involved constant musical whole that 1,2,3,4 nunmere Later, we saw that if we consider equal to the unit that produces the sound-level meter length do, the lengths of the other notes are less than one, but always expressed by rational numbers as integers reports. Namely, it was found that the Pythagorean musical scale, we have the following correspondence: Later, we saw that if we consider equal to the unit that produces the sound-level meter length do, the lengths of the other notes are less than one, but always expressed by rational numbers as integers reports. Namely, it was found that the Pythagorean musical scale, we have the following correspondence: soundsDo 1 Re 1 Mi 1 Fa 1 Sol 1 La 1 Si 1 Do 2 Lengths of the strings 1

17
The music occurs, as in poetry, rhythm and measure, the only way to asigurătrăinicia and aesthetics of musical works. How is math and measuring cadence, iatălegătura close of art that can express all the feelings omeneştişi science certainty. The music occurs, as in poetry, rhythm and measure, the only way to asigurătrăinicia and aesthetics of musical works. How is math and measuring cadence, iatălegătura close of art that can express all the feelings omeneştişi science certainty. One of the most impersionante evidence for the relationship between music and mathematics, a mathematician Goncharov found by studies on partial differential equations, an entirely new agreement, extremely pleasant, and may lead to the construction of musical instruments in November. One of the most impersionante evidence for the relationship between music and mathematics, a mathematician Goncharov found by studies on partial differential equations, an entirely new agreement, extremely pleasant, and may lead to the construction of musical instruments in November.

18
to recall the words of the great mathematician Sylvester: to recall the words of the great mathematician Sylvester: "There might be music as it senses mathematical reasoning and mathematics as music? For the musician feels mathematics, mathematician and music design. I dream music, mathematics, practical life! "There might be music as it senses mathematical reasoning and mathematics as music? For the musician feels mathematics, mathematician and music design. I dream music, mathematics, practical life!

19
With all these things in mind, maybe next time you hear a song you think of the harmony mathematics behind the music that inspires you. Enjoy! With all these things in mind, maybe next time you hear a song you think of the harmony mathematics behind the music that inspires you. Enjoy!

20
Project made by: Project made by: Cozmescu Daniela Cozmescu Daniela Boca Andrei Boca Andrei Ciont Teodora Ciont Teodora Cioban Radu Cioban Radu Baies Sineta Baies Sineta Chis Ovidiu Chis Ovidiu

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google