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Some mathematicians see beauty in mathematical results that establish connections between two areas of mathematics that at first sight appear to be unrelated. [5] These results are often described as deep. While it is difficult to find universal agreement on whether a result is deep, some examples are more commonly cited than others.
[1] [5] Most of the photographs show the chalkboard in a moment drawn from the mathematician's work on it, [1] depicting how mathematicians think, work, and communicate with each other. [5] Some other photographs show chalk drawings that were deliberately created to be photographed for this book. The mathematicians themselves are not depicted. [1]
Pure mathematics studies the properties and structure of abstract objects, [1] such as the E8 group, in group theory. This may be done without focusing on concrete applications of the concepts in the physical world. Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may ...
A Mathematician's Apology 1st edition Author G. H. Hardy Subjects Philosophy of mathematics, mathematical beauty Publisher Cambridge University Press Publication date 1940 OCLC 488849413 A Mathematician's Apology is a 1940 essay by British mathematician G. H. Hardy which defends the pursuit of mathematics for its own sake. Central to Hardy's "apology" – in the sense of a formal justification ...
Irimie, 53, was also a math teacher at the school. She has been described as a “beloved teacher, wife, daughter and friend” on a GoFundMe page launched to help her family cover funeral expenses.
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Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
[2] [3] [a] In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in ...