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portada Topics in Linear and Nonlinear Functional Analysis
Type
Physical Book
Publisher
Author
Collection
Graduate Studies in Mathematics
Year
2027
Language
English
Pages
437
Format
Paperback
Dimensions
25.4x17.8 cm
ISBN13
9781470487669

Topics in Linear and Nonlinear Functional Analysis

Gerald Teschl (Author) · American Mathematical Society · Paperback

Topics in Linear and Nonlinear Functional Analysis - Gerald Teschl

New Book Imported to New Zealand
Delivery: 17 Feb - 01 Mar Shipping: 63 to 67 business days.
NZ$ 291.61
Import costs and 15% GST included in the price ✅
NZ$ 291.61

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Synopsis "Topics in Linear and Nonlinear Functional Analysis"

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.

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