Manchester, United Kingdom

Applied Mathematics

Language: English Studies in English
Subject area: mathematics and statistics
University website: www.manchester.ac.uk
Doctor of Philosophy (PhD)
Doctor of Philosophy (PhD)
Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics.
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
Mathematics
Who has studied the works of such men as Euler, Lagrange, Cauchy, Riemann, Sophus Lie, and Weierstrass, can doubt that a great mathematician is a great artist? The faculties possessed by such men, varying greatly in kind and degree with the individual, are analogous with those requisite for constructive art. Not every mathematician possesses in a specially high degree that critical faculty which finds its employment in the perfection of form, in conformity with the ideal of logical completeness; but every great mathematician possesses the rarer faculty of constructive imagination.
E. W. Hobson, Presidential Address British Association for the Advancement of Science (1910) Nature Vol. 84 p. 290 as quoted by Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book (1914) p. 184.
Mathematics
The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.
Immanuel Kant, Critique of Pure Reason (1781) Tr. Max Müller (1881) p. 610.
Mathematics
“It’s magic,” the chief cook concluded, in awe.
“No, not magic,” the ship’s doctor replied. “It’s much more. It’s mathematics.”
David Brin, Glory Season (1993), chapter 24
When you think about the Earth’s oceans you probably imagine stretches of deep, dark water, exotic marine life and pristine waves. You probably don’t think of vast islands of plastic waste such as the Great Pacific Garbage Patch, an expanse of rubbish which some say is bigger than the continental United States. It was feared that collections of plastic debris like this were growing in line with our increasing rates of plastic production over the past decades. However, scientists have recently discovered that these floating eyesores are mysteriously receding – and that’s actually not a good thing…
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