Introduction To Piecewise Linear Topology
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Introduction To Piecewise Linear Topology
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Author : Colin P. Rourke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Piecewise Linear Topology written by Colin P. Rourke 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 2012-12-06 with Mathematics categories.
The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.
Introduction To Piecewise Linear Topology
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Author : Colin P Rourke
language : en
Publisher:
Release Date : 1972-11-16
Introduction To Piecewise Linear Topology written by Colin P Rourke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-11-16 with categories.
Introduction To Piecewise Linear Topology
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Author : Colin Patrick Rourke
language : en
Publisher:
Release Date : 1970
Introduction To Piecewise Linear Topology written by Colin Patrick Rourke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Introduction To Piecewise Linear Topology
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Author : C. P. Rourke
language : de
Publisher:
Release Date : 1972
Introduction To Piecewise Linear Topology written by C. P. Rourke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Differential topology categories.
Piecewise Linear Topology
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Author : John F. P. Hudson
language : en
Publisher:
Release Date : 1969
Piecewise Linear Topology written by John F. P. Hudson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Piecewise linear topology categories.
Piecewise Linear Topology
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Author : John F. B. Hudson
language : en
Publisher:
Release Date : 1969
Piecewise Linear Topology written by John F. B. Hudson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
A Constructive Version Of Piecewise Linear Topology
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Author : Cynthia Ann Blocher Brown
language : en
Publisher:
Release Date : 1977
A Constructive Version Of Piecewise Linear Topology written by Cynthia Ann Blocher Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Piecewise Linear Topology
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Author : John F. P. Hudson
language : en
Publisher:
Release Date : 1969
Piecewise Linear Topology written by John F. P. Hudson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Piecewise linear topology categories.
General Position And Structural Stability In Piecewise Linear Topology
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Author : David Allen Singer
language : en
Publisher:
Release Date : 1970
General Position And Structural Stability In Piecewise Linear Topology written by David Allen Singer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Introduction To Piecewise Differentiable Equations
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Author : Stefan Scholtes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-01
Introduction To Piecewise Differentiable Equations written by Stefan Scholtes 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 2012-08-01 with Mathematics categories.
This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations. This Introduction to Piecewise Differentiable Equations will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.