9789810234805

Problems and Solutions in Mathematics

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  • ISBN13:

    9789810234805

  • ISBN10:

    9810234805

  • Format: Paperback
  • Copyright: 1999-06-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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List Price: $78.00

Summary

Covers 6 aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis & Partial Differential Equations. Contains a selection of more than 500 problems & solutions based on the Ph.D. qualifying test papers of a decade of influential universities in North America. Paper. DLC: Mathematics - Problems, exercises, etc.

Table of Contents

Preface
Algebrap. 1
Linear Algebrap. 3
Group Theoryp. 26
Ring Theoryp. 44
Field and Galois Theoryp. 59
Topologyp. 81
Point Set Topologyp. 83
Homotopy Theoryp. 99
Homology Theoryp. 118
Differential Geometryp. 151
Differential Geometry of Curvesp. 153
Differential Geometry of Surfacesp. 171
Differential Geometry of Manifoldp. 194
Real Analysisp. 229
Measurablity and Measurep. 231
Integralp. 256
Space of Integrable Functionsp. 283
Differentialp. 302
Miscellaneous Problemsp. 322
Complex Analysisp. 333
Analytic and Harmonic Functionsp. 335
Geometry of Analytic Functionsp. 360
Complex Integrationp. 377
The Maximum Modulus and Argument Principlesp. 413
Series and Normal Familiesp. 433
Partial Differential Equationsp. 455
General Theoryp. 457
Elliptic Equationsp. 472
Parabolic Equationsp. 496
Hyperbolic Equationsp. 513
Abbreviations of Universities in This Bookp. 539
Table of Contents provided by Blackwell. All Rights Reserved.

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