A Friendly Approach to Functional Analysis
Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
| Author: | Amol Sasane | ISBN: | 9781786343369 |
| Publisher: | World Scientific Publishing Company | Publication: | February 20, 2017 |
| Imprint: | WSPC (EUROPE) | Language: | English |
| Author: | Amol Sasane |
| ISBN: | 9781786343369 |
| Publisher: | World Scientific Publishing Company |
| Publication: | February 20, 2017 |
| Imprint: | WSPC (EUROPE) |
| Language: | English |
This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study.
A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics.
Contents:
- Normed and Banach Spaces
- Continuous and Linear Maps
- Differentiation
- Geometry of Inner Product Spaces
- Compact Operators
- A Glimpse of Distribution Theory
Readership: Graduate students in functional analysis, operator theory and mathematical physics.
Key Features:
- Elementary
- Assumes minimal prerequisites (only Calculus and Linear Algebra is assumed)
- Includes detailed solutions to all the exercises in the book
- Includes a discussion of selected aplications (for example, to differential equations, to optimization, to classical and quantum mechanics, to numerical analysis)
This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study.
A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics.
Contents:
- Normed and Banach Spaces
- Continuous and Linear Maps
- Differentiation
- Geometry of Inner Product Spaces
- Compact Operators
- A Glimpse of Distribution Theory
Readership: Graduate students in functional analysis, operator theory and mathematical physics.
Key Features:
- Elementary
- Assumes minimal prerequisites (only Calculus and Linear Algebra is assumed)
- Includes detailed solutions to all the exercises in the book
- Includes a discussion of selected aplications (for example, to differential equations, to optimization, to classical and quantum mechanics, to numerical analysis)
