An applied understanding of functional analysis is essential for students pursuing research or careers in pure mathematics, applied mathematics, mathematical physics, and engineering, among other disciplines.
Functional Analysis: Theory and Applications offers a comprehensive exploration of functional analysis. Authored by esteemed mathematicians with extensive expertise in the field, this book thoroughly introduces fundamental concepts in functional analysis, including Banach spaces, Hilbert spaces, operator theory, nonlinear analysis, linear operators, and normed spaces, and implements these in real-world problems across various scientific and engineering disciplines.
The book's rigorous mathematical treatment is combined with worked examples, exercises and solutions, visual aids, application case studies, and future directions across all chapters to reinforce learning, while appendices offer supplementary materials, proofs of theorems, and tables of important results, among other resources.
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1. Banach spaces
2. Hilbert spaces
3. Operator theory
4. Spectral analysis
5. Nonlinear analysis
6. Real-world problems
7. Linear operators
8. Normed spaces
9. Functional equations
10. Convex analysis Appendices
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Provides a thorough, applied understanding of functional analysis across theory and practice, essential for students of pure and applied mathematics, mathematical physics, and engineering
Offers a comprehensive introduction to functional analysis, essential for students pursuing research or careers in pure mathematics, applied mathematics, mathematical physics, and engineering, among other disciplines
Features worked examples, exercises and solutions, visual aids, application case studies, and future directions across all chapters to reinforce learning
Introduces and applies core frameworks in functional analysis, from Banach spaces to Hilbert spaces, operator theory, nonlinear analysis, linear operators, and normed spaces
Includes a solutions manual, PowerPoint lecture slides, a test bank, and supplementary reading list on supporting instructor and companion websites to aid learning and teaching
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Produktdetaljer
ISBN
9780443331749
Publisert
2026-05-01
Utgiver
Elsevier Science Publishing Co Inc
Vekt
450 gr
Høyde
235 mm
Bredde
191 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
500