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Topology and Analysis

Overview of attention for book
Cover of 'Topology and Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Fredholm Operators
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    Chapter 2 Algebraic Properties. Operators of Finite Rank
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    Chapter 3 Analytic Methods. Compact Operators
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    Chapter 4 The Fredholm Alternative
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    Chapter 5 The Main Theorems
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    Chapter 6 Families of Invertible Operators. Kuiper’s Theorem
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    Chapter 7 Families of Fredholm Operators. Index Bundles
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    Chapter 8 Fourier Series and Integrals (Fundamental Principles)
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    Chapter 9 Wiener-Hopf Operators
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    Chapter 10 Partial Differential Equations
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    Chapter 11 Differential Operators Over Manifolds
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    Chapter 12 Pseudo-Differential Operators
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    Chapter 13 Sobolev Spaces (Crash Course)
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    Chapter 14 Elliptic Operators over Closed Manifolds
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    Chapter 15 Elliptic Boundary-Value Systems I (Differential Operators)
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    Chapter 16 Elliptic Differential Operators of First Order with Boundary Conditions
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    Chapter 17 Elliptic Boundary-Value Systems II (Survey)
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    Chapter 18 Introduction to Algebraic Topology (K-Theory)
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    Chapter 19 The Index Formula in the Euclidean Case
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    Chapter 20 The Index Formula for Closed Manifolds
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    Chapter 21 Applications (Survey)
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    Chapter 22 Physical Motivation and Overview
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    Chapter 23 Geometric Preliminaries
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    Chapter 24 Gauge-Theoretic Instantons
Attention for Chapter 1: Fredholm Operators
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Chapter title
Fredholm Operators
Chapter number 1
Book title
Topology and Analysis
Published by
Springer, New York, NY, January 1985
DOI 10.1007/978-1-4684-0627-6_1
Book ISBNs
978-0-387-96112-5, 978-1-4684-0627-6
Authors

B. Booss, D. D. Bleecker, Booss, B., Bleecker, D. D.

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