"Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry."
Vladimir Arnold
Mathematician
Vladimir Arnold was a renowned mathematician known for his work in dynamical systems and his unique insights into the creativity inherent in mathematics.
- Born
- October 2, 1911
- Died
- June 3, 2010
- Quotes
- 6
- Rank
- #3952
About Vladimir Arnold
Vladimir Arnold — Life and Legacy
Vladimir Arnold was a prominent mathematician whose work significantly impacted the fields of dynamical systems and topology. He is particularly noted for his ability to blend rigorous mathematical theory with creative problem-solving, which he articulated in many of his writings. Arnold famously stated, 'Mathematics is the language of the universe,' which encapsulates his belief that mathematical concepts are fundamental to understanding the world around us. This perspective showcases his view that mathematics is not just a set of rules but a creative endeavor that can lead to profound insights. Arnold's approach often challenged conventional methods, advocating for intuitive understanding over rote memorization. His quote, 'The most important thing is to understand the problem,' reflects his emphasis on comprehension as the cornerstone of effective mathematics. By prioritizing understanding, he encouraged students and mathematicians alike to engage deeply with problems, fostering a culture of inquiry and exploration. Today, Arnold's influence is still felt in mathematics and beyond, as his ideas continue to inspire new generations of thinkers. His work in dynamical systems, particularly, has opened new avenues for research and application, demonstrating the enduring relevance of his insights into the interplay between creativity and mathematical rigor.
Quote collection
Vladimir Arnold quotes
6 quotes — follow a thought to its full quote page.
"All mathematics is divided into three parts: cryptography (paid for by CIA, KGB and the like), hydrodynamics (supported by manufacturers of atomic submarines) and celestial mechanics (financed by military and other institutions dealing with missiles, such as NASA)."
"Mathematics is a part of physics. Physics is an experimental science, a part of natural science. Mathematics is the part of physics where experiments are cheap."
"Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers."
"The existence of mysterious relations between all these different domains is the most striking and delightful feature of mathematics (having no rational explanation)."
"Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing."