Problems and solutions in mathematics

書誌事項

Problems and solutions in mathematics

compiled by Chen Ji-Xiu ... [et al.] ; edited by Li Ta-Tsien

(Major American Universities Ph.D. qualifying questions and solutions)

World Scientific, c2011

2nd ed

  • : pbk

大学図書館所蔵 件 / 10

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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 mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.

目次

  • Algebra:Linear Algebra
  • Group Theory
  • Ring Theory
  • Field and Galois Theory
  • Topology:Point Set Topology
  • Homotopy Theory
  • Homology Theory
  • Differential Geometry:Differential Geometry of Curves
  • Differential Geometry of Surfaces
  • Differential Geometry of Manifold
  • Real Analysis:Measurability and Measure
  • Integral
  • Space of Integrable Functions
  • Differential
  • Miscellaneous Problems
  • Complex Analysis:Analytic and Harmonic Functions
  • Geometry of Analytic Functions
  • Complex Integration
  • The Maximum Modulus and Argument Principles
  • Series and Normal Families
  • Partial Differential Equations:General Theory
  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations

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詳細情報

  • NII書誌ID(NCID)
    BB0553989X
  • ISBN
    • 9789814304955
    • 9789814304962
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Hackensack
  • ページ数/冊数
    x, 793 p.
  • 大きさ
    22 cm
  • 分類
  • 件名
  • 親書誌ID
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