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Problems and Solutions in Mathematics
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The more than 500 problems with solutions presented here are based on the PhD qualifying test papers of influential universities in North America. The problems are kept within the parameters of graduate textbooks, but the solutions require a deep understanding of the mathematical principles as well as skills in analysis and computation. They can, of course, be used by students and instructors for other purposes than studying for the exam. The arrangement is by area of mathematics: algebra, topology, differential geometry, real analysis, complex analysis, and partial differential equations. The second edition adjusts the selection of problems to match changes in the tests over the 12 years since the first was published. Annotation c2011 Book News, Inc., Portland, OR (booknews.com)
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