Introduction to Functional Analysis by Christian Clason
Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.
This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.
In this second edition, corrections and improvements have been made. In addition, study review questions have been added to each chapter, providing readers with a tool for self-assessment.
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The Kurzweil-Henstock Integral for Undergraduates
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Geometric Multiplication of Vectors
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Tessellations with Stars and Rosettes
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Vector Bundles and Connections
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An Introduction to the Language of Category Theory
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Projective Geometry
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Probabilistic Methods in Telecommunications
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Mathematical Portfolio Theory and Analysis
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Introduction to Ring and Module Theory
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Elements of General Relativity
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A Course on Topological Vector Spaces
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An Introduction to Catalan Numbers
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Differential Equations: Methods and Applications
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A Compact Capstone Course in Classical Calculus
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Tensors for Scientists
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Linear Algebra
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Turning Points in the History of Mathematics
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Basic Monotonicity Methods with Some Applications
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Introduction to Quasi-Monte Carlo Integration and Applications
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From Groups to Categorial Algebra
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Measure and Integral
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Exploring Classical Greek Construction Problems with Interactive Geometry Software
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Differential Geometry
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A Basic Course in Topology
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Geometry by Its Transformations
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Elementary Numerical Mathematics for Programmers and Engineers
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Introduction to Geometry and Topology
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Introduction to Quantitative Methods for Financial Markets
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Linear Algebra in Data Science
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A Primer on Hilbert Space Operators
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Introduction to Infinity-Categories
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Lebesgue Integral
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Finite Element Approximation of Boundary Value Problems
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A Course in Combinatorics and Graphs
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The Mathematics of Voting and Apportionment
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Mathematical Thinking
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Statistics for Mathematicians
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Basics of Programming and Algorithms, Principles and Applications
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A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations
Christian Clason is Professor of Mathematical Optimization at the Department of Mathematics and Scientific Computing of the University Graz.
| SKU | Unavailable |
| ISBN 13 | 9783032137180 |
| ISBN 10 | 3032137187 |
| Title | Introduction to Functional Analysis |
| Author | Christian Clason |
| Series | Compact Textbooks In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2026-03-12 |
| Number of pages | 153 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |