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Mathematics

In this discipline: 1,500,732 papers · 499 groups

Discipline summary

Mathematics is the study of the structure, order and relationships of and between numbers, quantities, forms and space. Considered to be the underlying language of science, it seeks to establish truth through abstraction and formal logic. Pure mathematics, or speculative mathematics, solves abstract problems as an end in itself. Applied mathematics solves practical problems in science, engineering and business by studying and applying mathematical principles and sometimes results in the formulation of new disciplines, such as statistics or game theory.

Popular papers

  1. We are developing a dual panel breast-dedicated PET system using LSO scintillators coupled to position sensitive avalanche photodiodes (PSAPD). The charge output is amplified and read using NOVA RENA-3 ASICs. This paper shows that the coincidence…
  2. Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady…
  3. Some personal thoughts and opinions on what ``good quality mathematics'' is, and whether one should try to define this term rigorously. As a case study, the story of Szemer'edi's theorem is presented.
  4. Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new…

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