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An Introductory Course in Functional Analysis

2014-12-11 Mathematics
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Release : 2014-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 458/5 ( reviews)

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Book Synopsis An Introductory Course in Functional Analysis by : Adam Bowers

Download or read book An Introductory Course in Functional Analysis written by Adam Bowers. This book was released on 2014-12-11. Available in PDF, EPUB and Kindle. Book excerpt: Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

Functional Analysis

2018-06-09 Mathematics
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Release : 2018-06-09
Genre : Mathematics
Kind : eBook
Book Rating : 126/5 ( reviews)

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Book Synopsis Functional Analysis by : Sergei Ovchinnikov

Download or read book Functional Analysis written by Sergei Ovchinnikov. This book was released on 2018-06-09. Available in PDF, EPUB and Kindle. Book excerpt: This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary for the subsequent text. Functional Analysis offers an elementary approach ideal for the upper-undergraduate or beginning graduate student. Primarily intended for a one-semester introductory course, this text is also a perfect resource for independent study or as the basis for a reading course.

A First Course in Functional Analysis

2013-05-27 Mathematics
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Release : 2013-05-27
Genre : Mathematics
Kind : eBook
Book Rating : 819/5 ( reviews)

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Book Synopsis A First Course in Functional Analysis by : Martin Davis

Download or read book A First Course in Functional Analysis written by Martin Davis. This book was released on 2013-05-27. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition.

A First Course in Functional Analysis

2017-03-16 Mathematics
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Release : 2017-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 629/5 ( reviews)

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Book Synopsis A First Course in Functional Analysis by : Orr Moshe Shalit

Download or read book A First Course in Functional Analysis written by Orr Moshe Shalit. This book was released on 2017-03-16. Available in PDF, EPUB and Kindle. Book excerpt: Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

A Course in Functional Analysis

2019-03-09 Mathematics
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Release : 2019-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 831/5 ( reviews)

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Book Synopsis A Course in Functional Analysis by : John B Conway

Download or read book A Course in Functional Analysis written by John B Conway. This book was released on 2019-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

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