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Functional Analysis: Theory and Applications

Autor Anita Tomar, Shivani Rawat, Ravi P. Agarwal
en Limba Engleză Paperback – 20 mai 2026
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.

  • 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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Specificații

ISBN-13: 9780443331749
ISBN-10: 044333174X
Pagini: 190
Dimensiuni: 191 x 235 mm
Greutate: 0.56 kg
Editura: ELSEVIER SCIENCE

Cuprins

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

Notă biografică

Anita Tomar is a distinguished Full Professor and Head of the Department of Mathematics at Pt. L. M. S. Campus, Sridev Suman Uttarakhand University, Rishikesh, India. She serves as the Director of the Faculty Development Centre and Nodal Officer for Devbhumi Udyamita Yojna. With a research focus on Nonlinear Functional Analysis, Fixed Point Theory and its Applications, she has authored 83 publications and many chapters in edited books.