Polynomials with Special Regard to Reducibility by A Schinzel
This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are based on recent work of E. Bombieri and U. Zannier (presented here by Zannier in an appendix). The book also treats other subjects like Ritt's theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items. This unique work will be a necessary resource for all number theorists and researchers in related fields.-
The Theory of Partitions
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The Banach-Tarski Paradox
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Special Functions
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Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
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Non-Associative Normed Algebras
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Handbook of Constructive Mathematics
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Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
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Boolean Functions
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Categorical Foundations
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Introduction to the Network Approximation Method for Materials Modeling
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Proof Complexity
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Asymptotic Analysis of Random Walks
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Contact Geometry and Nonlinear Differential Equations
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Lie's Structural Approach to PDE Systems
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Sub-Riemannian Geometry
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Combinatorics, Automata and Number Theory
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Variational Methods for Nonlocal Fractional Problems
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Ergodic Control of Diffusion Processes
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Algorithmic Aspects of Graph Connectivity
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Topics in Algorithmic Graph Theory
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Exact and Approximate Controllability for Distributed Parameter Systems
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Mathematics of the Bond Market
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Orthogonal Polynomials in the Spectral Analysis of Markov Processes
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Real Analysis through Modern Infinitesimals
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Introduction to Radon Transforms
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Lattice Sums Then and Now
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The Racah-Wigner Algebra in Quantum Theory
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Boolean Models and Methods in Mathematics, Computer Science, and Engineering
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Exact Constants in Approximation Theory
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An Algebraic Introduction to K-Theory
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
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Infinite Dimensional Optimization and Control Theory
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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
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Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
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Ultrametric Pseudodifferential Equations and Applications
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Compound Renewal Processes
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General Orthogonal Polynomials
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The Theory of Information and Coding
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Convex Polytopes and Polyhedra
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Stopping Times and Directed Processes
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Nonnegative Matrices and Applications
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Random Graphs
'… interesting and original … contains much material that is unavailable elsewhere' David W. Boyd, Zentralblatt MATH
'This is a wonderful book, filled with unexpected results.' A. von der Poorten, Niew Archief voor Wiskunde
'This is a wonderful book, filled with unexpected results.' A. von der Poorten, Niew Archief voor Wiskunde
| SKU | Unavailable |
| ISBN 13 | 9780521662253 |
| ISBN 10 | 0521662257 |
| Title | Polynomials with Special Regard to Reducibility |
| Author | A Schinzel |
| Series | Encyclopedia Of Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2000-04-27 |
| Number of pages | 570 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |