A Friendly Approach to Functional Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book A Friendly Approach to Functional Analysis by Amol Sasane, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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)
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

Readership: Graduate students in functional analysis, operator theory and mathematical physics.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Singapore Chess by Amol Sasane
Cover of the book Stochastic Modeling and Analytics in Healthcare Delivery Systems by Amol Sasane
Cover of the book Australia's Trade, Investment and Security in the Asian Century by Amol Sasane
Cover of the book John Stuart Mill by Amol Sasane
Cover of the book Growth with Inequality by Amol Sasane
Cover of the book Handbook of the Fundamentals of Financial Decision Making by Amol Sasane
Cover of the book 320 Single Best Answer Questions for Final Year Medical Students by Amol Sasane
Cover of the book The Life of Professor Robert Hugh Pritchard by Amol Sasane
Cover of the book Nuclear Structure in China 2012 by Amol Sasane
Cover of the book Shift Register Sequences by Amol Sasane
Cover of the book Public Space in Urban Asia by Amol Sasane
Cover of the book Clinical Cases for Surgery Exams by Amol Sasane
Cover of the book The Energy Conundrum by Amol Sasane
Cover of the book Neutrino Astronomy by Amol Sasane
Cover of the book 20 Years of Asia-Europe Relations by Amol Sasane
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy