Mathematics has its own beauty and importance. It has different applications in various fields and is used to solve many real world problems in society and industry. How does it correlated with art, poetry, literature, culture, music and so on ?
As every other discipline, mathematics is also beautiful; let's say, more beautiful than others. Other disciplines create problems; mathematics not only create but also solve problems. Painting and sculptures incorporates the idea of projective geometry. Meter and rhymes are a form of mathematics in poetry. In music and dance, periodic functions find ample applications. Let's enjoy the beauty of mathematics!
As every other discipline, mathematics is also beautiful; let's say, more beautiful than others. Other disciplines create problems; mathematics not only create but also solve problems. Painting and sculptures incorporates the idea of projective geometry. Meter and rhymes are a form of mathematics in poetry. In music and dance, periodic functions find ample applications. Let's enjoy the beauty of mathematics!
Please see the use of the Golden Mean and the Fibonacci Series in all arts and the use of complex mathematics in the music of the twentieth century.
Yes, look for Piero della Francesca and other Italian renaissance masters, for example - an absolute master in the perspective of things. Look at M. C. Escher - also a master in perspective, but with logical twists! Those two are favourites.
Your first challenge: define “beautiful”. In this day and age, we are making significant progress towards an objective understanding of what is this thing we call “beauty”. See the videos of V.S. Ramachandran, for example. There is so much progress being made in real time imaging of the brain engaged in various tasks (including viewing art and listening to music) that it is simply naive to pose a question like this without first making at least a basic attempt to define what sort of aesthetic stimulus/response mechanism you mean when you say “beautiful”. Then then question becomes more, “Can mathematics trigger the same sort of pleasure sensations that other ‘beautiful’ stimuli trigger?”
Pitch class set theory, atractive notes, golden key, counterpoint, acustic, intervals and chords....a lot of things that bridge mathematic and music.
At least for myself, I introduced the term "Musical Combinatorial Optimization". This area should bring together Mathematics and Music in order to solve musical problems using mathematical models and mathematical methods of solutions. I have already done a project called "Musical Approximation: Listening Beethoven's «Appassionata» according to personal preferences", where I applied mathematical methods to approximation of listening to a music mp3 file according to the personal preferences of users. More detailed information can be viewed in the discussion https://www.researchgate.net/post/is_there_any_modern_research_on_the_motor_responses_of_a_person_to_the_sound_of_a_melody_the_tone_of_a_voice
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