Functional Analysis: Theory and Applications
Theory and Applications
- 1st Edition - January 1, 2026
- Imprint: Academic Press
- Authors: Ravi P. Agarwal, Anita Tomar, Ms. Shivani
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 3 3 1 7 4 - 9
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 3 3 1 7 5 - 6
An applied understanding of functional analysis is essential for students pursuing research or careers in pure mathematics, applied mathematics, mathematical physics, and… Read more
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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.
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
Advanced undergraduate, graduate and PhD mathematics, engineering, and physics students, among other disciplines
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
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
- Edition: 1
- Published: January 1, 2026
- Imprint: Academic Press
- Language: English
RA
Ravi P. Agarwal
Chairman of the Department of Mathematics at the Texas A&M University-Kingsville. He is formerly a Professor of Mathematical Sciences, Florida Institute of Technology, USA. Continues to be Editor-in-Chief of four prestigious Journals. Author of two books, including Nonoscillation Theory of Functional Differential Equations with Applications.
Affiliations and expertise
Chairman, Department of Mathematics, Texas A&M University-Kingsville, USAAT
Anita Tomar
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.
Affiliations and expertise
Full Professor and Head of the Department of Mathematics, Pt. L. M. S. Campus, Sridev Suman Uttarakhand University, Rishikesh, IndiaMS
Ms. Shivani
Ms. Shivani is a distinguished Research Scholar in the Department of Mathematics at Pt. L. M. S. Campus, Sridev Suman Uttarakhand University, Rishikesh, India and recipient of the prestigious Young Scientist Award. The dedication of Ms. Shivani to advancing knowledge and her exceptional research skills exemplify her commitment to excellence and innovation in the field of nonlinear functional analysis.
Affiliations and expertise
Research Scholar, Department of Mathematics, Pt. L. M. S. Campus, Sridev Suman Uttarakhand University, Rishikesh, India