Metric Spaces by E T Copson
Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis.-
The Geometry of Fractal Sets
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Riemannian Geometry
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Miniquaternion Geometry
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The Geometry of Total Curvature on Complete Open Surfaces
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Birational Geometry and Manin's Conjecture
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Coherence in Three-Dimensional Category Theory
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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The Direct Method in Soliton Theory
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Matrix Positivity
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Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem
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Topics in Critical Point Theory
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Category and Measure
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The Mathieu Groups
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Modern Approaches to the Invariant-Subspace Problem
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Frobenius Manifolds and Moduli Spaces for Singularities
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Group Cohomology and Algebraic Cycles
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Permutation Group Algorithms
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Nonlinear Perron–Frobenius Theory
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Abelian Varieties, Theta Functions and the Fourier Transform
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Matrices of Sign-Solvable Linear Systems
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The Cube-A Window to Convex and Discrete Geometry
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The Large Sieve and its Applications
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Combinatorics of Minuscule Representations
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Polynomials and Vanishing Cycles
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Restricted Orbit Equivalence for Actions of Discrete Amenable Groups
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Metric Diophantine Approximation on Manifolds
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Applications of Diophantine Approximation to Integral Points and Transcendence
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An Introduction to Homotopy Theory
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Linear and Projective Representations of Symmetric Groups
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Dependence with Complete Connections and its Applications
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Fixed Point Theory and Applications
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Justification Logic
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Synthetic Geometry of Manifolds
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Dynamical Systems and Semisimple Groups
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Distribution Modulo One and Diophantine Approximation
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The Levy Laplacian
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Sets of Multiples
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Period Domains over Finite and p-adic Fields
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Large Deviations for Markov Chains
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Levy Processes in Lie Groups
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Character Sums with Exponential Functions and their Applications
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Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations
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Quasi-Frobenius Rings
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The Covering Property Axiom, CPA
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Ridge Functions
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Jordan Structures in Geometry and Analysis
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Typical Dynamics of Volume Preserving Homeomorphisms
| SKU | Unavailable |
| ISBN 13 | 9780521357326 |
| ISBN 10 | 0521357322 |
| Title | Metric Spaces |
| Author | E T Copson |
| Series | Cambridge Tracts In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 1988-02-11 |
| Number of pages | 152 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |