Problems and solutions in mathematics
著者
書誌事項
Problems and solutions in mathematics
(Major American Universities Ph.D. qualifying questions and solutions)
World Scientific, c1998
- : pbk
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注記
Another compilers: Jiang Guo-Ying, Pan Yang-Lian, Qin Tie-Hu, Tong Yu-Sun, Wu Quan-Shui & Xu Sheng-Zhi
内容説明・目次
内容説明
This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. The depth of knowledge involved is not beyond the contents of the textbooks for graduate students, while solution of the problems requires deep understanding of the mathematical principles and skilled techniques. For students this book is a valuable complement to textbooks; for lecturers teaching graduate school mathematics, a helpful reference.
目次
- Algebra
- differential geometry
- topology
- real analysis
- complex analysis
- partial differential equations.
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