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Mathematical Methods in Physics

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Cover of 'Mathematical Methods in Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Spaces of Test Functions
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    Chapter 3 Schwartz Distributions
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    Chapter 4 Calculus for Distributions
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    Chapter 5 Distributions as Derivatives of Functions
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    Chapter 6 Tensor Products
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    Chapter 7 Convolution Products
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    Chapter 8 Applications of Convolution
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    Chapter 9 Holomorphic Functions
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    Chapter 10 Fourier Transformation
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    Chapter 11 Distributions as Boundary Values of Analytic Functions
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    Chapter 12 Other Spaces of Generalized Functions
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    Chapter 13 Sobolev Spaces
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    Chapter 14 Hilbert Spaces: A Brief Historical Introduction
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    Chapter 15 Inner Product Spaces and Hilbert Spaces
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    Chapter 16 Geometry of Hilbert Spaces
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    Chapter 17 Separable Hilbert Spaces
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    Chapter 18 Direct Sums and Tensor Products
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    Chapter 19 Topological Aspects
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    Chapter 20 Linear Operators
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    Chapter 21 Quadratic Forms
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    Chapter 22 Bounded Linear Operators
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    Chapter 23 Special Classes of Linear Operators
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    Chapter 24 Elements of Spectral Theory
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    Chapter 25 Compact Operators
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    Chapter 26 Hilbert–Schmidt and Trace Class Operators
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    Chapter 27 The Spectral Theorem
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    Chapter 28 Some Applications of the Spectral Representation
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    Chapter 29 Spectral Analysis in Rigged Hilbert Spaces
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    Chapter 30 Operator Algebras and Positive Mappings
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    Chapter 31 Positive Mappings in Quantum Physics
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    Chapter 32 Introduction
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    Chapter 33 Direct Methods in the Calculus of Variations
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    Chapter 34 Differential Calculus on Banach Spaces and Extrema of Functions
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    Chapter 35 Constrained Minimization Problems (Method of Lagrange Multipliers)
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    Chapter 36 Boundary and Eigenvalue Problems
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    Chapter 37 Density Functional Theory of Atoms and Molecules
Overall attention for this book and its chapters
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Title
Mathematical Methods in Physics
Published by
Springer International Publishing, April 2015
DOI 10.1007/978-3-319-14045-2
ISBNs
978-3-31-914044-5, 978-3-31-914045-2
Authors

Blanchard, Philippe, Brüning, Erwin

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 17 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Sweden 1 6%
Canada 1 6%
Unknown 15 88%

Demographic breakdown

Readers by professional status Count As %
Researcher 4 24%
Student > Ph. D. Student 2 12%
Lecturer > Senior Lecturer 1 6%
Student > Doctoral Student 1 6%
Student > Bachelor 1 6%
Other 2 12%
Unknown 6 35%
Readers by discipline Count As %
Mathematics 4 24%
Physics and Astronomy 2 12%
Psychology 1 6%
Economics, Econometrics and Finance 1 6%
Neuroscience 1 6%
Other 1 6%
Unknown 7 41%