Topics in Linear and Nonlinear Functional Analysis by Gerald Teschl
This textbook provides a concise introduction to linear and nonlinear functional analysis, preparing the reader for further study in areas such as spectral theory, partial differential equations, and probability theory. The first part develops classical linear theory. The opening three chapters follow in Hilbert's footsteps, culminating in the spectral theorem for compact operators. The fourth chapter introduces the fundamental results on Banach spaces, forming the core material for a first course in functional analysis. Three additional chapters treat more advanced topics, including convexity and weak topologies, the spectral theory of bounded operators, and operator semigroups. The second part is devoted to nonlinear functional analysis. Topics include calculus in Banach spaces, mapping degrees, and monotone maps. Throughout, the text adopts a student-friendly, bottom-up approach, beginning with concrete special cases and gradually progressing to more abstract results so that the underlying motivation remains clear. Numerous worked examples illustrate how the theory is applied in practice, and an extensive collection of exercises range from routine problems to more challenging ones. A solutions manual is available for instructors.-
Analysis
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Options Pricing and Portfolio Optimization
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Scrapbook of Complex Curve Theory
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Probability Theory in Finance
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Microlocal Analysis and Integral Geometry
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An Introduction to Geometric Inverse Problems
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Colored Operads
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Number Theory
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Inequalities in Matrix Algebras
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Classical Groups and Geometric Algebra
- Partial Differential Equations
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Algebra
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A Course on the Web Graph
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Global Analysis
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Invitation to Nonlinear Algebra
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Applied Asymptotic Analysis
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Advanced Modern Algebra
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A Course in Operator Theory
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Representations of Finite and Compact Groups
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Classical and Quantum Computation
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Toric Varieties
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Introduction to Analytic and Probabilistic Number Theory
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Mathematical Methods in Quantum Mechanics
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Global Calculus
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Discovering Modern Set Theory, Part 1
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Differential Geometry, Lie Groups, and Symmetric Spaces
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Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
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Riemann Surfaces by Way of Complex Analytic Geometry
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Advanced Modern Algebra, Parts 1 and 2
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Introduction to Quantum Groups and Crystal Bases
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Introduction to the H-Principle
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A Course in Differential Geometry
Gerald Teschl, University of Vienna, Austria
| SKU | Unavailable |
| ISBN 13 | 9781470487669 |
| Title | Topics in Linear and Nonlinear Functional Analysis |
| Author | Gerald Teschl |
| Series | Graduate Studies In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Number of pages | 437 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |