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Topology And The Language Of Mathematics


Topology And The Language Of Mathematics
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Elementary Concepts Of Topology


Elementary Concepts Of Topology
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Author : Paul Alexandroff
language : en
Publisher: Courier Corporation
Release Date : 2012-08-13

Elementary Concepts Of Topology written by Paul Alexandroff and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-13 with Mathematics categories.


Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.



The Language Of Mathematics


The Language Of Mathematics
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Author : Bill Barton
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-24

The Language Of Mathematics written by Bill Barton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-24 with Education categories.


The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.



Point Set Topology


Point Set Topology
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Author : Steven A. Gaal
language : en
Publisher: Courier Corporation
Release Date : 2009-04-23

Point Set Topology written by Steven A. Gaal and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-23 with Mathematics categories.


Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.



Introduction To Topology


Introduction To Topology
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Author : Bert Mendelson
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Introduction To Topology written by Bert Mendelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.


Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.



The Language Of Mathematics


The Language Of Mathematics
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Author : Mohan Ganesalingam
language : en
Publisher: Springer
Release Date : 2013-03-14

The Language Of Mathematics written by Mohan Ganesalingam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.


The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers



Topology And Geometry


Topology And Geometry
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Author : Glen E. Bredon
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-06-24

Topology And Geometry written by Glen E. Bredon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-24 with Education categories.


This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS



Elementary Topology


Elementary Topology
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Author : O. I͡A. Viro
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Elementary Topology written by O. I͡A. Viro and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


"This textbook on elementary topologycontains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elernentary segment centered at the notions of fundamental group and covering space. The reader who has mastered the core material acquires a strong background in elementary topology and will feel at home in the environment of abstract mathemeatics."--BOOK JACKET.



Basic Topology


Basic Topology
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Author : Mark Anthony Armstrong
language : en
Publisher:
Release Date : 1990

Basic Topology written by Mark Anthony Armstrong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Topology And The Language Of Mathematics


Topology And The Language Of Mathematics
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Author : Chris Cunliffe
language : en
Publisher: Bobo Strategy
Release Date : 2008-07

Topology And The Language Of Mathematics written by Chris Cunliffe and has been published by Bobo Strategy this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07 with Education categories.


An introduction to topology and the language of mathematics that works. Ideal for the undergraduate student with little to no background in the subject. Excellent for the advanced high school mathematics student, interested in a taste of next steps. Also useful to graduate students looking for a refresher or fresh take on their foundation in the topics.



A First Course In Topology


A First Course In Topology
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Author : Robert A Conover
language : en
Publisher: Courier Corporation
Release Date : 2014-05-21

A First Course In Topology written by Robert A Conover and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-21 with Mathematics categories.


Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text. Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975. See every Dover book in print at www.doverpublications.com