Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
An introduction to functional analysis for science and engineering
This note contains below topics, Ideas and approach, Convergence of sequences of real numbers, Convergence in vector and function spaces, Hilbert spaces and their properties, Linear operators, Eigenvalues and eigenfunctions of compact Hermitian operators, Inner products based on positive Hermitian operators, Singularvalue decomposition, Concluding remarks, Proofs of specific mathematical theorems, Index of definitions.
Author(s): David A. B. Miller
60 Pages 
An introduction to functional analysis for science and engineering
This note contains below topics, Ideas and approach, Convergence of sequences of real numbers, Convergence in vector and function spaces, Hilbert spaces and their properties, Linear operators, Eigenvalues and eigenfunctions of compact Hermitian operators, Inner products based on positive Hermitian operators, Singularvalue decomposition, Concluding remarks, Proofs of specific mathematical theorems, Index of definitions.
Author(s): David A. B. Miller
60 Pages
This paper elaborates a short course on derivations and projections on Jordan triples. It introduces nonassociative algebra, continuous cohomology, and quantum functional analysis.
Author(s): Bernard Russo
72 Pages
Introduction to Functional Analysis by Daniel Daners
This PDF book covers the following topics related to Functional Analysis, The Axiom of Choice and Zorns Lemma, Banach Spaces, Banach algebras and the StoneWeierstrass Theorem, Hilbert Spaces, Linear Operators, Duality, Spectral Theory.
Author(s): Daniel Daners, School of Mathematics and Statistics, University of Sydney
123 Pages
Functional Analysis by Roman Vershynin
This PDF covers the following topics related to Functional Analysis, Banach and Hilbert spaces, Bounded linear operators, Main principles of functional analysis, Compact operators, Elements of spectral theory, Selfadjoint operators on Hilbert space.
Author(s): Roman Vershynin, Department of Mathematics, University of Michigan
131 Pages
Functional analysis and its applications
Functional analysis plays an important role in the applied sciences as well as in mathematics itself. These notes are intended to familiarize the student with the basic concepts, principles andmethods of functional analysis and its applications, and they are intended for senior undergraduate or beginning graduate students. Topics covered includes, Normed and Banach spaces, Continuous maps, Differentiation, Geometry of inner product spaces, Compact operators and Approximation of compact operators.
Author(s): Amol Sasane
92 Pages
Functional Analysis by Christian Remling
This note explains the following topics, Metric and topological spaces, Banach spaces, Consequences of Baires Theorem, Dual spaces and weak topologies, Hilbert spaces, Operators in Hilbert spaces, Banach algebras, Commutative Banach algebras, and Spectral Theorem.
Author(s): Christian Remling
123 Pages