A Friendly Approach to Functional Analysis (Paperback) (ISBN-13: 9781786343345)

'The book is unusual among functional analysis books in devoting a lot of space to the derivative. The â ~friendlyâ (TM) aspect promised in the title is not explained, but there are three things I think would strike most students as friendly: the slow pace, the enormous number of examples, and complete solutions to all the exercises.'MAA ReviewsThis 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.

Author: Amol Sasane
ISBN-10: 1786343347
ISBN-13: 9781786343345
Publisher: World Scientific Publishing Europe Ltd
Language: English
Published: 04/19/2017
Pages: 396
Format: Paperback
Weight: 1.15lbs
Size: 8.90h x 5.90w x 1.00d