Elementary Topology: Second Edition by Michael C Gemignani
Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence.
In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.
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The Thirteen Books of the Elements, Vol. 1
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The Stanford Mathematics Problem Book
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Excursions in Number Theory
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Elementary Number Theory
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An Introduction to the Calculus of Variations
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One Hundred Great Problems of Elementary Mathematics
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Statistical Method from the Viewpoint of Quality Control
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Matrices and Linear Algebra
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Elementary Theory of Numbers
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Topology
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Introduction to Topology
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An Introduction to Fourier Series and Integrals
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Lectures on Classical Differential Geometry
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Arithmetic Refresher
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Mathematics and the Imagination
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The Geometry of Rene Descartes
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The Works of Archimedes
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Lectures on Ordinary Differential Equations
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Introduction to Linear Algebra and Differential Equations
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Advanced Euclidean Geometry
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The History of the Calculus and its Conceptual Development
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Advanced Mathematics for Engineers and Scientists
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Elementary Real and Complex Analysis
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Topology and Geometry for Physicists
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The Riemann Zeta-Function: Theory a
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A History of Greek Mathematics: from Aristarchus to Diophantus V.2
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Experiments in Topology
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Vector and Tensor Analysis with Applications
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Introduction to Logic
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Complex Analysis with Applications
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The Elementary Theory of Analytic Functions of One or Several Complex Variables
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Playing with Infinity
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Proof in Geometry
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Tensor Calculus
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Practical Conic Sections
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Makers of Mathematics
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Fundamental Concepts of Algebra
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An Introduction to Lebesgue Integration and Fourier Series
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Boolean Reasoning
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Introduction to Analysis
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Introduction to Probability
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N-Person Game Theory
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The USSR Olympiad Problem Book
| SKU | Unavailable |
| ISBN 13 | 9780486665221 |
| ISBN 10 | 0486665224 |
| Title | Elementary Topology: Second Edition |
| Author | Michael C Gemignani |
| Series | Dover Books On Mathema 14tics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 2003-03-28 |
| Number of pages | 288 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |