Galois Theory by Joseph Rotman
The first edition aimed to give a geodesic path to the Fundamental Theorem of Galois Theory, and I still think its brevity is valuable. Alas, the book is now a bit longer, but I feel that the changes are worthwhile. I began by rewriting almost all the text, trying to make proofs clearer, and often giving more details than before. Since many students find the road to the Fundamental Theorem an intricate one, the book now begins with a short section on symmetry groups of polygons in the plane; an analogy of polygons and their symmetry groups with polynomials and their Galois groups can serve as a guide by helping readers organize the various definitions and constructions. The exposition has been reorganized so that the discussion of solvability by radicals now appears later; this makes the proof of the Abel-Ruffini theo rem easier to digest. I have also included several theorems not in the first edition. For example, the Casus Irreducibilis is now proved, in keeping with a historical interest lurking in these pages.-
Linear Functional Analysis
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An Introduction to Manifolds
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Riemannian Geometry
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Symbolic Dynamics
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Stochastic Calculus
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Geometry I
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Galois Cohomology and Class Field Theory
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Mathematical Gauge Theory
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Nonlinear Differential Equations and Dynamical Systems
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Mathematical Analysis I
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Differential Forms and Applications
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Introduction to Partial Differential Equations
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Geometry
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From Elementary Probability to Stochastic Differential Equations with MAPLE (R)
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Applied Stochastic Control of Jump Diffusions
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Probability Essentials
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Real Algebra
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Stochastic Differential Equations
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A Polynomial Approach to Linear Algebra
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Elements of Functional Analysis
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Selected Topics in Partial Differential Equations
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The Essentials of Measure Theory
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On the Theory of Maass Wave Forms
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Potential Theory
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Fluctuations of Levy Processes with Applications
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Discrete Mathematics
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Automorphic Forms
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Matrix Theory
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Frontiers of Numerical Analysis
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Spectra of Graphs
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Polyhedral and Algebraic Methods in Computational Geometry
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Theory and Numerics of Differential Equations
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Dynamical Systems
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A Course on Tug-of-War Games with Random Noise
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Sphere Packings
| SKU | Unavailable |
| ISBN 13 | 9780387985411 |
| ISBN 10 | 0387985417 |
| Title | Galois Theory |
| Author | Joseph Rotman |
| Series | Universitext |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2001-07-27 |
| Number of pages | 176 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |