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Topology and Analysis

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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
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Citations

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mendeley
3 Mendeley
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Title
Topology and Analysis
Published by
Springer-Verlag New York, January 1985
DOI 10.1007/978-1-4684-0627-6
ISBNs
978-0-387-96112-5, 978-1-4684-0627-6
Authors

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

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Japan 1 33%
Unknown 2 67%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Unknown 2 67%
Readers by discipline Count As %
Physics and Astronomy 1 33%
Unknown 2 67%