This text contains more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than 10 famous American universities. The problems cover six aspects of graduate school mathematics: algebra, differential geometry, topology, real analysis, complex analysis
Problems and solutions in mathematics
โ Scribed by Li, Daqian; Chen, Ji-Xiu
- Publisher
- World Scientific
- Year
- 2011
- Tongue
- English
- Leaves
- 804
- Series
- Major American universities Ph. D. qualifying questions and solutions.
- Edition
- Second edition.
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
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
โฆ Subjects
Mathematics -- Problems, exercises, etc;Mathematics
๐ SIMILAR VOLUMES
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, Differential Geometry, Topology, Real Analysis,
This text contains more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than 10 famous American universities. The problems cover six aspects of graduate school mathematics: algebra, differential geometry, topology, real analysis, complex analysis