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Prerequisites and Preliminaries.- Groups.- The Structure of Groups.- Rings.- Modules.- Fields and Galois Theory.- The Structure of Fields.- Linear Algebra.- Commutative Rings and Modules.- The Structure of Rings.- Categories. |
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Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.This self-contained, one volume, graduate level algebra text is readable by the average student and flexible enough to accommodate a wide variety of instructors and course contents. Throughout, the material is presented as generally as possible, consistent with good pedagogy. Thus, the text stresses clarity rather than brevity and contains an incredibly large number of illustrative exercises.Finally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises. |
| Ãâó : ¾Ë¶óµò |

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