G. H. Hardy was a British mathematician who made significant contributions to the field of mathematics, particularly in the areas of analysis and number theory. He is known for his work on the theory of functions of a complex variable and his contributions to the study of the Riemann zeta function and the distribution of prime numbers. Hardy is also known for his contributions to the study of the foundations of mathematics and his work on the axiomatic approach to mathematics. In addition to his work in mathematics, Hardy was also a talented writer and his book "A Mathematician's Apology" is considered a classic of mathematics literature. He is considered one of the greatest mathematicians in history and his work has had a lasting impact on the development of mathematics.
Here are a few quotes by G. H. Hardy on mathematics:
- "A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas."
- "Beauty is the first test: there is no permanent place in the world for ugly mathematics."
- "A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas."
- "A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas."
- "It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that."
- "The mathematician's patterns, like the painter's or the poet's, must be beautiful. The ideas, like the colors or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in this world for ugly mathematics."
- "I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world."
- "The mathematician's best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid."
- "Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."
- "A mathematician, like a painter or a poet, is a maker of patterns.
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