A Friendly Approach to Functional Analysis (Essential Textbooks in Mathematics)

Sasane, Amol

ISBN 10: 1786343347 / ISBN 13: 9781786343345

Editore: WSPC (EUROPE), 2017

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pp. 396.

Codice articolo 371831138

Dati bibliografici

• Titolo: A Friendly Approach to Functional Analysis (Essential Textbooks in Mathematics)
• Editore: WSPC (EUROPE)
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1786343347
• ISBN 13: 9781786343345
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

Recensione

The book is written very clearly and notions are described via many illustrations and examples. I consider the book very useful for (undergraduate) students in mathematics, physics and engineering, who have passed some courses on metric spaces and linear algebra. --zbMATH