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Carol Schumacher
Carol Smith Schumacher (born 1960) is a Bolivian-born American mathematician specializing in real analysis, a mathematics education, mathematics educator, and a textbook author. She is a professor of mathematics at Kenyon College, and vice president of the Mathematical Association of America. Early life and education Schumacher was born in La Paz, Bolivia as the daughter of missionaries, and grew up in Bolivia speaking both English and Spanish. She majored in mathematics at Hendrix College in Conway, Arkansas, and graduated with honors in 1982. It was in freshman calculus at Hendrix that she met her husband, physicist and quantum information theory, quantum information theorist Benjamin Schumacher. She went to the University of Texas at Austin for graduate study, and completed her Ph.D. in 1989 with a dissertation on the theory of Banach spaces, jointly supervised by Edward Odell and Haskell Rosenthal. Career and contributions Schumacher joined Kenyon College as Dana Assistant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Real Analysis
In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability. Real analysis is distinguished from complex analysis, which deals with the study of complex numbers and their functions. Scope Construction of the real numbers The theorems of real analysis rely on the properties of the real number system, which must be established. The real number system consists of an uncountable set (\mathbb), together with two binary operations denoted and , and an order denoted . The operations make the real numbers a field, and, along with the order, an ordered field. The real number system is the unique ''complete ordered field'', in the sense that any other complete ordered field is isomorphic to it. Intuitively, completeness means ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |